octave:2> [1;2;3]*[4,5,6] ans = 4 5 6 8 10 12 12 15 18 octave:3> [1+1i;2-2i] ans = 1 + 1i 2 - 2i octave:4> [1+1i;2-2i]' ans = 1 - 1i 2 + 2i octave:5> [1+1i;2-2i].' ans = 1 + 1i 2 - 2i octave:6> ft octave:7> norm(uhat1-uhat2) ans = 2.7791e-16 octave:8> norm(uhat1-uhat3) ans = 1.5750e-16 octave:9> F*F' ans = Columns 1 through 3: 1.00000 + 0.00000i -0.00000 + 0.00000i 0.00000 + 0.00000i -0.00000 - 0.00000i 1.00000 + 0.00000i -0.00000 + 0.00000i 0.00000 - 0.00000i -0.00000 + 0.00000i 1.00000 - 0.00000i 0.00000 - 0.00000i -0.00000 - 0.00000i -0.00000 - 0.00000i Column 4: 0.00000 + 0.00000i -0.00000 + 0.00000i -0.00000 + 0.00000i 1.00000 + 0.00000i octave:10> uhat3 uhat3 = -0.11785 + 0.00000i 0.00000 - 0.23570i 0.82496 + 0.00000i 0.00000 + 0.23570i octave:11> uhathat uhathat = 0.50000 0.33333 0.50000 1.00000 octave:12> uhatxx uhatxx = Columns 1 through 3: 0.50000 + 0.00000i 0.49791 + 0.00105i 0.49584 + 0.00209i Columns 4 through 6: 0.49378 + 0.00314i 0.49173 + 0.00419i 0.48969 + 0.00523i Columns 7 through 9: 0.48767 + 0.00628i 0.48567 + 0.00732i 0.48367 + 0.00836i Columns 10 through 12: 0.48169 + 0.00940i 0.47973 + 0.01044i 0.47777 + 0.01148i Columns 13 through 15: 0.47584 + 0.01252i 0.47391 + 0.01355i 0.47200 + 0.01459i Columns 16 through 18: 0.47011 + 0.01562i 0.46822 + 0.01664i 0.46636 + 0.01767i Columns 19 through 21: 0.46450 + 0.01869i 0.46266 + 0.01971i 0.46084 + 0.02072i Columns 22 through 24: 0.45903 + 0.02174i 0.45723 + 0.02275i 0.45545 + 0.02375i Columns 25 through 27: 0.45369 + 0.02475i 0.45193 + 0.02575i 0.45020 + 0.02675i Columns 28 through 30: 0.44847 + 0.02773i 0.44676 + 0.02872i 0.44507 + 0.02970i Columns 31 through 33: 0.44339 + 0.03068i 0.44173 + 0.03165i 0.44008 + 0.03261i Columns 34 through 36: 0.43844 + 0.03358i 0.43682 + 0.03453i 0.43522 + 0.03548i Columns 37 through 39: 0.43363 + 0.03643i 0.43205 + 0.03737i 0.43049 + 0.03830i Columns 40 through 42: 0.42894 + 0.03923i 0.42741 + 0.04015i 0.42589 + 0.04106i Columns 43 through 45: 0.42439 + 0.04197i 0.42291 + 0.04287i 0.42143 + 0.04376i Columns 46 through 48: 0.41998 + 0.04465i 0.41853 + 0.04553i 0.41710 + 0.04641i Columns 49 through 51: 0.41569 + 0.04727i 0.41429 + 0.04813i 0.41291 + 0.04898i Columns 52 through 54: 0.41154 + 0.04983i 0.41019 + 0.05066i 0.40885 + 0.05149i Columns 55 through 57: 0.40752 + 0.05231i 0.40621 + 0.05312i 0.40492 + 0.05392i Columns 58 through 60: 0.40363 + 0.05472i 0.40237 + 0.05550i 0.40112 + 0.05628i Columns 61 through 63: 0.39988 + 0.05705i 0.39865 + 0.05780i 0.39745 + 0.05855i Columns 64 through 66: 0.39625 + 0.05929i 0.39507 + 0.06003i 0.39391 + 0.06075i Columns 67 through 69: 0.39275 + 0.06146i 0.39162 + 0.06216i 0.39049 + 0.06285i Columns 70 through 72: 0.38938 + 0.06354i 0.38829 + 0.06421i 0.38721 + 0.06487i Columns 73 through 75: 0.38614 + 0.06552i 0.38509 + 0.06617i 0.38405 + 0.06680i Columns 76 through 78: 0.38302 + 0.06742i 0.38201 + 0.06803i 0.38101 + 0.06863i Columns 79 through 81: 0.38003 + 0.06922i 0.37905 + 0.06979i 0.37810 + 0.07036i Columns 82 through 84: 0.37715 + 0.07092i 0.37622 + 0.07146i 0.37530 + 0.07199i Columns 85 through 87: 0.37440 + 0.07252i 0.37351 + 0.07303i 0.37263 + 0.07352i Columns 88 through 90: 0.37176 + 0.07401i 0.37091 + 0.07449i 0.37007 + 0.07495i Columns 91 through 93: 0.36924 + 0.07540i 0.36843 + 0.07584i 0.36763 + 0.07627i Columns 94 through 96: 0.36684 + 0.07669i 0.36606 + 0.07709i 0.36530 + 0.07748i Columns 97 through 99: 0.36454 + 0.07786i 0.36380 + 0.07823i 0.36307 + 0.07858i Columns 100 through 102: 0.36236 + 0.07892i 0.36165 + 0.07925i 0.36096 + 0.07957i Columns 103 through 105: 0.36028 + 0.07988i 0.35961 + 0.08017i 0.35895 + 0.08045i Columns 106 through 108: 0.35831 + 0.08072i 0.35767 + 0.08097i 0.35705 + 0.08121i Columns 109 through 111: 0.35644 + 0.08144i 0.35583 + 0.08165i 0.35524 + 0.08186i Columns 112 through 114: 0.35466 + 0.08205i 0.35409 + 0.08222i 0.35354 + 0.08239i Columns 115 through 117: 0.35299 + 0.08254i 0.35245 + 0.08268i 0.35192 + 0.08280i Columns 118 through 120: 0.35141 + 0.08291i 0.35090 + 0.08301i 0.35040 + 0.08310i Columns 121 through 123: 0.34992 + 0.08317i 0.34944 + 0.08323i 0.34897 + 0.08327i Columns 124 through 126: 0.34852 + 0.08331i 0.34807 + 0.08333i 0.34763 + 0.08333i Columns 127 through 129: 0.34720 + 0.08333i 0.34678 + 0.08331i 0.34637 + 0.08327i Columns 130 through 132: 0.34597 + 0.08323i 0.34558 + 0.08317i 0.34519 + 0.08310i Columns 133 through 135: 0.34482 + 0.08301i 0.34445 + 0.08291i 0.34409 + 0.08280i Columns 136 through 138: 0.34374 + 0.08268i 0.34340 + 0.08254i 0.34306 + 0.08239i Columns 139 through 141: 0.34274 + 0.08222i 0.34242 + 0.08205i 0.34211 + 0.08186i Columns 142 through 144: 0.34181 + 0.08165i 0.34151 + 0.08144i 0.34123 + 0.08121i Columns 145 through 147: 0.34095 + 0.08097i 0.34067 + 0.08072i 0.34041 + 0.08045i Columns 148 through 150: 0.34015 + 0.08017i 0.33990 + 0.07988i 0.33965 + 0.07957i Columns 151 through 153: 0.33941 + 0.07925i 0.33918 + 0.07892i 0.33896 + 0.07858i Columns 154 through 156: 0.33874 + 0.07823i 0.33852 + 0.07786i 0.33832 + 0.07748i Columns 157 through 159: 0.33812 + 0.07709i 0.33792 + 0.07669i 0.33773 + 0.07627i Columns 160 through 162: 0.33755 + 0.07584i 0.33737 + 0.07540i 0.33720 + 0.07495i Columns 163 through 165: 0.33703 + 0.07449i 0.33687 + 0.07401i 0.33672 + 0.07352i Columns 166 through 168: 0.33657 + 0.07303i 0.33642 + 0.07252i 0.33628 + 0.07199i Columns 169 through 171: 0.33614 + 0.07146i 0.33601 + 0.07092i 0.33588 + 0.07036i Columns 172 through 174: 0.33576 + 0.06979i 0.33564 + 0.06922i 0.33553 + 0.06863i Columns 175 through 177: 0.33542 + 0.06803i 0.33531 + 0.06742i 0.33521 + 0.06680i Columns 178 through 180: 0.33511 + 0.06617i 0.33502 + 0.06552i 0.33493 + 0.06487i Columns 181 through 183: 0.33484 + 0.06421i 0.33476 + 0.06354i 0.33468 + 0.06285i Columns 184 through 186: 0.33460 + 0.06216i 0.33453 + 0.06146i 0.33446 + 0.06075i Columns 187 through 189: 0.33439 + 0.06003i 0.33433 + 0.05929i 0.33427 + 0.05855i Columns 190 through 192: 0.33421 + 0.05780i 0.33416 + 0.05705i 0.33410 + 0.05628i Columns 193 through 195: 0.33405 + 0.05550i 0.33400 + 0.05472i 0.33396 + 0.05392i Columns 196 through 198: 0.33392 + 0.05312i 0.33388 + 0.05231i 0.33384 + 0.05149i Columns 199 through 201: 0.33380 + 0.05066i 0.33377 + 0.04983i 0.33373 + 0.04898i Columns 202 through 204: 0.33370 + 0.04813i 0.33367 + 0.04727i 0.33365 + 0.04641i Columns 205 through 207: 0.33362 + 0.04553i 0.33360 + 0.04465i 0.33357 + 0.04376i Columns 208 through 210: 0.33355 + 0.04287i 0.33353 + 0.04197i 0.33351 + 0.04106i Columns 211 through 213: 0.33350 + 0.04015i 0.33348 + 0.03923i 0.33347 + 0.03830i Columns 214 through 216: 0.33345 + 0.03737i 0.33344 + 0.03643i 0.33343 + 0.03548i Columns 217 through 219: 0.33342 + 0.03453i 0.33341 + 0.03358i 0.33340 + 0.03261i Columns 220 through 222: 0.33339 + 0.03165i 0.33339 + 0.03068i 0.33338 + 0.02970i Columns 223 through 225: 0.33337 + 0.02872i 0.33337 + 0.02773i 0.33336 + 0.02675i Columns 226 through 228: 0.33336 + 0.02575i 0.33335 + 0.02475i 0.33335 + 0.02375i Columns 229 through 231: 0.33335 + 0.02275i 0.33335 + 0.02174i 0.33334 + 0.02072i Columns 232 through 234: 0.33334 + 0.01971i 0.33334 + 0.01869i 0.33334 + 0.01767i Columns 235 through 237: 0.33334 + 0.01664i 0.33334 + 0.01562i 0.33334 + 0.01459i Columns 238 through 240: 0.33334 + 0.01355i 0.33333 + 0.01252i 0.33333 + 0.01148i Columns 241 through 243: 0.33333 + 0.01044i 0.33333 + 0.00940i 0.33333 + 0.00836i Columns 244 through 246: 0.33333 + 0.00732i 0.33333 + 0.00628i 0.33333 + 0.00523i Columns 247 through 249: 0.33333 + 0.00419i 0.33333 + 0.00314i 0.33333 + 0.00209i Columns 250 through 252: 0.33333 + 0.00105i 0.33333 + 0.00000i 0.33333 - 0.00105i Columns 253 through 255: 0.33333 - 0.00209i 0.33333 - 0.00314i 0.33333 - 0.00419i Columns 256 through 258: 0.33333 - 0.00523i 0.33333 - 0.00628i 0.33333 - 0.00732i Columns 259 through 261: 0.33333 - 0.00836i 0.33333 - 0.00940i 0.33333 - 0.01044i Columns 262 through 264: 0.33333 - 0.01148i 0.33333 - 0.01252i 0.33334 - 0.01355i Columns 265 through 267: 0.33334 - 0.01459i 0.33334 - 0.01562i 0.33334 - 0.01664i Columns 268 through 270: 0.33334 - 0.01767i 0.33334 - 0.01869i 0.33334 - 0.01971i Columns 271 through 273: 0.33334 - 0.02072i 0.33335 - 0.02174i 0.33335 - 0.02275i Columns 274 through 276: 0.33335 - 0.02375i 0.33335 - 0.02475i 0.33336 - 0.02575i Columns 277 through 279: 0.33336 - 0.02675i 0.33337 - 0.02773i 0.33337 - 0.02872i Columns 280 through 282: 0.33338 - 0.02970i 0.33339 - 0.03068i 0.33339 - 0.03165i Columns 283 through 285: 0.33340 - 0.03261i 0.33341 - 0.03358i 0.33342 - 0.03453i Columns 286 through 288: 0.33343 - 0.03548i 0.33344 - 0.03643i 0.33345 - 0.03737i Columns 289 through 291: 0.33347 - 0.03830i 0.33348 - 0.03923i 0.33350 - 0.04015i Columns 292 through 294: 0.33351 - 0.04106i 0.33353 - 0.04197i 0.33355 - 0.04287i Columns 295 through 297: 0.33357 - 0.04376i 0.33360 - 0.04465i 0.33362 - 0.04553i Columns 298 through 300: 0.33365 - 0.04641i 0.33367 - 0.04727i 0.33370 - 0.04813i Columns 301 through 303: 0.33373 - 0.04898i 0.33377 - 0.04983i 0.33380 - 0.05066i Columns 304 through 306: 0.33384 - 0.05149i 0.33388 - 0.05231i 0.33392 - 0.05312i Columns 307 through 309: 0.33396 - 0.05392i 0.33400 - 0.05472i 0.33405 - 0.05550i Columns 310 through 312: 0.33410 - 0.05628i 0.33416 - 0.05705i 0.33421 - 0.05780i Columns 313 through 315: 0.33427 - 0.05855i 0.33433 - 0.05929i 0.33439 - 0.06003i Columns 316 through 318: 0.33446 - 0.06075i 0.33453 - 0.06146i 0.33460 - 0.06216i Columns 319 through 321: 0.33468 - 0.06285i 0.33476 - 0.06354i 0.33484 - 0.06421i Columns 322 through 324: 0.33493 - 0.06487i 0.33502 - 0.06552i 0.33511 - 0.06617i Columns 325 through 327: 0.33521 - 0.06680i 0.33531 - 0.06742i 0.33542 - 0.06803i Columns 328 through 330: 0.33553 - 0.06863i 0.33564 - 0.06922i 0.33576 - 0.06979i Columns 331 through 333: 0.33588 - 0.07036i 0.33601 - 0.07092i 0.33614 - 0.07146i Columns 334 through 336: 0.33628 - 0.07199i 0.33642 - 0.07252i 0.33657 - 0.07303i Columns 337 through 339: 0.33672 - 0.07352i 0.33687 - 0.07401i 0.33703 - 0.07449i Columns 340 through 342: 0.33720 - 0.07495i 0.33737 - 0.07540i 0.33755 - 0.07584i Columns 343 through 345: 0.33773 - 0.07627i 0.33792 - 0.07669i 0.33812 - 0.07709i Columns 346 through 348: 0.33832 - 0.07748i 0.33852 - 0.07786i 0.33874 - 0.07823i Columns 349 through 351: 0.33896 - 0.07858i 0.33918 - 0.07892i 0.33941 - 0.07925i Columns 352 through 354: 0.33965 - 0.07957i 0.33990 - 0.07988i 0.34015 - 0.08017i Columns 355 through 357: 0.34041 - 0.08045i 0.34067 - 0.08072i 0.34095 - 0.08097i Columns 358 through 360: 0.34123 - 0.08121i 0.34151 - 0.08144i 0.34181 - 0.08165i Columns 361 through 363: 0.34211 - 0.08186i 0.34242 - 0.08205i 0.34274 - 0.08222i Columns 364 through 366: 0.34306 - 0.08239i 0.34340 - 0.08254i 0.34374 - 0.08268i Columns 367 through 369: 0.34409 - 0.08280i 0.34445 - 0.08291i 0.34482 - 0.08301i Columns 370 through 372: 0.34519 - 0.08310i 0.34558 - 0.08317i 0.34597 - 0.08323i Columns 373 through 375: 0.34637 - 0.08327i 0.34678 - 0.08331i 0.34720 - 0.08333i Columns 376 through 378: 0.34763 - 0.08333i 0.34807 - 0.08333i 0.34852 - 0.08331i Columns 379 through 381: 0.34897 - 0.08327i 0.34944 - 0.08323i 0.34992 - 0.08317i Columns 382 through 384: 0.35040 - 0.08310i 0.35090 - 0.08301i 0.35141 - 0.08291i Columns 385 through 387: 0.35192 - 0.08280i 0.35245 - 0.08268i 0.35299 - 0.08254i Columns 388 through 390: 0.35354 - 0.08239i 0.35409 - 0.08222i 0.35466 - 0.08205i Columns 391 through 393: 0.35524 - 0.08186i 0.35583 - 0.08165i 0.35644 - 0.08144i Columns 394 through 396: 0.35705 - 0.08121i 0.35767 - 0.08097i 0.35831 - 0.08072i Columns 397 through 399: 0.35895 - 0.08045i 0.35961 - 0.08017i 0.36028 - 0.07988i Columns 400 through 402: 0.36096 - 0.07957i 0.36165 - 0.07925i 0.36236 - 0.07892i Columns 403 through 405: 0.36307 - 0.07858i 0.36380 - 0.07823i 0.36454 - 0.07786i Columns 406 through 408: 0.36530 - 0.07748i 0.36606 - 0.07709i 0.36684 - 0.07669i Columns 409 through 411: 0.36763 - 0.07627i 0.36843 - 0.07584i 0.36924 - 0.07540i Columns 412 through 414: 0.37007 - 0.07495i 0.37091 - 0.07449i 0.37176 - 0.07401i Columns 415 through 417: 0.37263 - 0.07352i 0.37351 - 0.07303i 0.37440 - 0.07252i Columns 418 through 420: 0.37530 - 0.07199i 0.37622 - 0.07146i 0.37715 - 0.07092i Columns 421 through 423: 0.37810 - 0.07036i 0.37905 - 0.06979i 0.38003 - 0.06922i Columns 424 through 426: 0.38101 - 0.06863i 0.38201 - 0.06803i 0.38302 - 0.06742i Columns 427 through 429: 0.38405 - 0.06680i 0.38509 - 0.06617i 0.38614 - 0.06552i Columns 430 through 432: 0.38721 - 0.06487i 0.38829 - 0.06421i 0.38938 - 0.06354i Columns 433 through 435: 0.39049 - 0.06285i 0.39162 - 0.06216i 0.39275 - 0.06146i Columns 436 through 438: 0.39391 - 0.06075i 0.39507 - 0.06003i 0.39625 - 0.05929i Columns 439 through 441: 0.39745 - 0.05855i 0.39865 - 0.05780i 0.39988 - 0.05705i Columns 442 through 444: 0.40112 - 0.05628i 0.40237 - 0.05550i 0.40363 - 0.05472i Columns 445 through 447: 0.40492 - 0.05392i 0.40621 - 0.05312i 0.40752 - 0.05231i Columns 448 through 450: 0.40885 - 0.05149i 0.41019 - 0.05066i 0.41154 - 0.04983i Columns 451 through 453: 0.41291 - 0.04898i 0.41429 - 0.04813i 0.41569 - 0.04727i Columns 454 through 456: 0.41710 - 0.04641i 0.41853 - 0.04553i 0.41998 - 0.04465i Columns 457 through 459: 0.42143 - 0.04376i 0.42291 - 0.04287i 0.42439 - 0.04197i Columns 460 through 462: 0.42589 - 0.04106i 0.42741 - 0.04015i 0.42894 - 0.03923i Columns 463 through 465: 0.43049 - 0.03830i 0.43205 - 0.03737i 0.43363 - 0.03643i Columns 466 through 468: 0.43522 - 0.03548i 0.43682 - 0.03453i 0.43844 - 0.03358i Columns 469 through 471: 0.44008 - 0.03261i 0.44173 - 0.03165i 0.44339 - 0.03068i Columns 472 through 474: 0.44507 - 0.02970i 0.44676 - 0.02872i 0.44847 - 0.02773i Columns 475 through 477: 0.45020 - 0.02675i 0.45193 - 0.02575i 0.45369 - 0.02475i Columns 478 through 480: 0.45545 - 0.02375i 0.45723 - 0.02275i 0.45903 - 0.02174i Columns 481 through 483: 0.46084 - 0.02072i 0.46266 - 0.01971i 0.46450 - 0.01869i Columns 484 through 486: 0.46636 - 0.01767i 0.46822 - 0.01664i 0.47011 - 0.01562i Columns 487 through 489: 0.47200 - 0.01459i 0.47391 - 0.01355i 0.47584 - 0.01252i Columns 490 through 492: 0.47777 - 0.01148i 0.47973 - 0.01044i 0.48169 - 0.00940i Columns 493 through 495: 0.48367 - 0.00836i 0.48567 - 0.00732i 0.48767 - 0.00628i Columns 496 through 498: 0.48969 - 0.00523i 0.49173 - 0.00419i 0.49378 - 0.00314i Columns 499 through 501: 0.49584 - 0.00209i 0.49791 - 0.00105i 0.50000 - 0.00000i Columns 502 through 504: 0.50210 + 0.00105i 0.50421 + 0.00209i 0.50634 + 0.00314i Columns 505 through 507: 0.50848 + 0.00419i 0.51063 + 0.00523i 0.51280 + 0.00628i Columns 508 through 510: 0.51498 + 0.00732i 0.51717 + 0.00836i 0.51937 + 0.00940i Columns 511 through 513: 0.52159 + 0.01044i 0.52381 + 0.01148i 0.52605 + 0.01252i Columns 514 through 516: 0.52831 + 0.01355i 0.53057 + 0.01459i 0.53285 + 0.01562i Columns 517 through 519: 0.53513 + 0.01664i 0.53743 + 0.01767i 0.53974 + 0.01869i Columns 520 through 522: 0.54206 + 0.01971i 0.54440 + 0.02072i 0.54674 + 0.02174i Columns 523 through 525: 0.54909 + 0.02275i 0.55146 + 0.02375i 0.55384 + 0.02475i Columns 526 through 528: 0.55622 + 0.02575i 0.55862 + 0.02675i 0.56103 + 0.02773i Columns 529 through 531: 0.56345 + 0.02872i 0.56587 + 0.02970i 0.56831 + 0.03068i Columns 532 through 534: 0.57076 + 0.03165i 0.57322 + 0.03261i 0.57568 + 0.03358i Columns 535 through 537: 0.57816 + 0.03453i 0.58065 + 0.03548i 0.58314 + 0.03643i Columns 538 through 540: 0.58564 + 0.03737i 0.58815 + 0.03830i 0.59068 + 0.03923i Columns 541 through 543: 0.59320 + 0.04015i 0.59574 + 0.04106i 0.59829 + 0.04197i Columns 544 through 546: 0.60084 + 0.04287i 0.60340 + 0.04376i 0.60597 + 0.04465i Columns 547 through 549: 0.60855 + 0.04553i 0.61113 + 0.04641i 0.61372 + 0.04727i Columns 550 through 552: 0.61632 + 0.04813i 0.61892 + 0.04898i 0.62153 + 0.04983i Columns 553 through 555: 0.62415 + 0.05066i 0.62677 + 0.05149i 0.62940 + 0.05231i Columns 556 through 558: 0.63204 + 0.05312i 0.63468 + 0.05392i 0.63732 + 0.05472i Columns 559 through 561: 0.63998 + 0.05550i 0.64263 + 0.05628i 0.64529 + 0.05705i Columns 562 through 564: 0.64796 + 0.05780i 0.65063 + 0.05855i 0.65331 + 0.05929i Columns 565 through 567: 0.65599 + 0.06003i 0.65867 + 0.06075i 0.66136 + 0.06146i Columns 568 through 570: 0.66405 + 0.06216i 0.66674 + 0.06285i 0.66944 + 0.06354i Columns 571 through 573: 0.67214 + 0.06421i 0.67484 + 0.06487i 0.67755 + 0.06552i Columns 574 through 576: 0.68026 + 0.06617i 0.68297 + 0.06680i 0.68568 + 0.06742i Columns 577 through 579: 0.68840 + 0.06803i 0.69111 + 0.06863i 0.69383 + 0.06922i Columns 580 through 582: 0.69655 + 0.06979i 0.69927 + 0.07036i 0.70199 + 0.07092i Columns 583 through 585: 0.70471 + 0.07146i 0.70743 + 0.07199i 0.71015 + 0.07252i Columns 586 through 588: 0.71287 + 0.07303i 0.71559 + 0.07352i 0.71831 + 0.07401i Columns 589 through 591: 0.72103 + 0.07449i 0.72374 + 0.07495i 0.72646 + 0.07540i Columns 592 through 594: 0.72918 + 0.07584i 0.73189 + 0.07627i 0.73460 + 0.07669i Columns 595 through 597: 0.73731 + 0.07709i 0.74002 + 0.07748i 0.74272 + 0.07786i Columns 598 through 600: 0.74542 + 0.07823i 0.74812 + 0.07858i 0.75082 + 0.07892i Columns 601 through 603: 0.75351 + 0.07925i 0.75620 + 0.07957i 0.75888 + 0.07988i Columns 604 through 606: 0.76156 + 0.08017i 0.76424 + 0.08045i 0.76691 + 0.08072i Columns 607 through 609: 0.76958 + 0.08097i 0.77224 + 0.08121i 0.77490 + 0.08144i Columns 610 through 612: 0.77755 + 0.08165i 0.78019 + 0.08186i 0.78283 + 0.08205i Columns 613 through 615: 0.78547 + 0.08222i 0.78809 + 0.08239i 0.79071 + 0.08254i Columns 616 through 618: 0.79333 + 0.08268i 0.79593 + 0.08280i 0.79853 + 0.08291i Columns 619 through 621: 0.80112 + 0.08301i 0.80371 + 0.08310i 0.80628 + 0.08317i Columns 622 through 624: 0.80885 + 0.08323i 0.81141 + 0.08327i 0.81396 + 0.08331i Columns 625 through 627: 0.81650 + 0.08333i 0.81904 + 0.08333i 0.82156 + 0.08333i Columns 628 through 630: 0.82407 + 0.08331i 0.82658 + 0.08327i 0.82907 + 0.08323i Columns 631 through 633: 0.83156 + 0.08317i 0.83403 + 0.08310i 0.83649 + 0.08301i Columns 634 through 636: 0.83894 + 0.08291i 0.84139 + 0.08280i 0.84381 + 0.08268i Columns 637 through 639: 0.84623 + 0.08254i 0.84864 + 0.08239i 0.85103 + 0.08222i Columns 640 through 642: 0.85342 + 0.08205i 0.85579 + 0.08186i 0.85814 + 0.08165i Columns 643 through 645: 0.86049 + 0.08144i 0.86282 + 0.08121i 0.86514 + 0.08097i Columns 646 through 648: 0.86744 + 0.08072i 0.86973 + 0.08045i 0.87201 + 0.08017i Columns 649 through 651: 0.87427 + 0.07988i 0.87652 + 0.07957i 0.87876 + 0.07925i Columns 652 through 654: 0.88098 + 0.07892i 0.88318 + 0.07858i 0.88537 + 0.07823i Columns 655 through 657: 0.88755 + 0.07786i 0.88970 + 0.07748i 0.89185 + 0.07709i Columns 658 through 660: 0.89397 + 0.07669i 0.89608 + 0.07627i 0.89818 + 0.07584i Columns 661 through 663: 0.90026 + 0.07540i 0.90232 + 0.07495i 0.90436 + 0.07449i Columns 664 through 666: 0.90639 + 0.07401i 0.90840 + 0.07352i 0.91039 + 0.07303i Columns 667 through 669: 0.91237 + 0.07252i 0.91433 + 0.07199i 0.91626 + 0.07146i Columns 670 through 672: 0.91819 + 0.07092i 0.92009 + 0.07036i 0.92197 + 0.06979i Columns 673 through 675: 0.92384 + 0.06922i 0.92568 + 0.06863i 0.92751 + 0.06803i Columns 676 through 678: 0.92932 + 0.06742i 0.93111 + 0.06680i 0.93287 + 0.06617i Columns 679 through 681: 0.93462 + 0.06552i 0.93635 + 0.06487i 0.93806 + 0.06421i Columns 682 through 684: 0.93975 + 0.06354i 0.94142 + 0.06285i 0.94306 + 0.06216i Columns 685 through 687: 0.94469 + 0.06146i 0.94630 + 0.06075i 0.94788 + 0.06003i Columns 688 through 690: 0.94945 + 0.05929i 0.95099 + 0.05855i 0.95251 + 0.05780i Columns 691 through 693: 0.95401 + 0.05705i 0.95548 + 0.05628i 0.95694 + 0.05550i Columns 694 through 696: 0.95837 + 0.05472i 0.95978 + 0.05392i 0.96117 + 0.05312i Columns 697 through 699: 0.96254 + 0.05231i 0.96388 + 0.05149i 0.96520 + 0.05066i Columns 700 through 702: 0.96650 + 0.04983i 0.96777 + 0.04898i 0.96902 + 0.04813i Columns 703 through 705: 0.97025 + 0.04727i 0.97145 + 0.04641i 0.97263 + 0.04553i Columns 706 through 708: 0.97379 + 0.04465i 0.97493 + 0.04376i 0.97604 + 0.04287i Columns 709 through 711: 0.97712 + 0.04197i 0.97818 + 0.04106i 0.97922 + 0.04015i Columns 712 through 714: 0.98023 + 0.03923i 0.98122 + 0.03830i 0.98219 + 0.03737i Columns 715 through 717: 0.98313 + 0.03643i 0.98404 + 0.03548i 0.98493 + 0.03453i Columns 718 through 720: 0.98580 + 0.03358i 0.98664 + 0.03261i 0.98745 + 0.03165i Columns 721 through 723: 0.98824 + 0.03068i 0.98901 + 0.02970i 0.98975 + 0.02872i Columns 724 through 726: 0.99046 + 0.02773i 0.99115 + 0.02675i 0.99182 + 0.02575i Columns 727 through 729: 0.99246 + 0.02475i 0.99307 + 0.02375i 0.99366 + 0.02275i Columns 730 through 732: 0.99422 + 0.02174i 0.99475 + 0.02072i 0.99526 + 0.01971i Columns 733 through 735: 0.99575 + 0.01869i 0.99621 + 0.01767i 0.99664 + 0.01664i Columns 736 through 738: 0.99704 + 0.01562i 0.99742 + 0.01459i 0.99778 + 0.01355i Columns 739 through 741: 0.99811 + 0.01252i 0.99841 + 0.01148i 0.99869 + 0.01044i Columns 742 through 744: 0.99893 + 0.00940i 0.99916 + 0.00836i 0.99936 + 0.00732i Columns 745 through 747: 0.99953 + 0.00628i 0.99967 + 0.00523i 0.99979 + 0.00419i Columns 748 through 750: 0.99988 + 0.00314i 0.99995 + 0.00209i 0.99999 + 0.00105i Columns 751 through 753: 1.00000 + 0.00000i 0.99999 - 0.00105i 0.99995 - 0.00209i Columns 754 through 756: 0.99988 - 0.00314i 0.99979 - 0.00419i 0.99967 - 0.00523i Columns 757 through 759: 0.99953 - 0.00628i 0.99936 - 0.00732i 0.99916 - 0.00836i Columns 760 through 762: 0.99893 - 0.00940i 0.99869 - 0.01044i 0.99841 - 0.01148i Columns 763 through 765: 0.99811 - 0.01252i 0.99778 - 0.01355i 0.99742 - 0.01459i Columns 766 through 768: 0.99704 - 0.01562i 0.99664 - 0.01664i 0.99621 - 0.01767i Columns 769 through 771: 0.99575 - 0.01869i 0.99526 - 0.01971i 0.99475 - 0.02072i Columns 772 through 774: 0.99422 - 0.02174i 0.99366 - 0.02275i 0.99307 - 0.02375i Columns 775 through 777: 0.99246 - 0.02475i 0.99182 - 0.02575i 0.99115 - 0.02675i Columns 778 through 780: 0.99046 - 0.02773i 0.98975 - 0.02872i 0.98901 - 0.02970i Columns 781 through 783: 0.98824 - 0.03068i 0.98745 - 0.03165i 0.98664 - 0.03261i Columns 784 through 786: 0.98580 - 0.03358i 0.98493 - 0.03453i 0.98404 - 0.03548i Columns 787 through 789: 0.98313 - 0.03643i 0.98219 - 0.03737i 0.98122 - 0.03830i Columns 790 through 792: 0.98023 - 0.03923i 0.97922 - 0.04015i 0.97818 - 0.04106i Columns 793 through 795: 0.97712 - 0.04197i 0.97604 - 0.04287i 0.97493 - 0.04376i Columns 796 through 798: 0.97379 - 0.04465i 0.97263 - 0.04553i 0.97145 - 0.04641i Columns 799 through 801: 0.97025 - 0.04727i 0.96902 - 0.04813i 0.96777 - 0.04898i Columns 802 through 804: 0.96650 - 0.04983i 0.96520 - 0.05066i 0.96388 - 0.05149i Columns 805 through 807: 0.96254 - 0.05231i 0.96117 - 0.05312i 0.95978 - 0.05392i Columns 808 through 810: 0.95837 - 0.05472i 0.95694 - 0.05550i 0.95548 - 0.05628i Columns 811 through 813: 0.95401 - 0.05705i 0.95251 - 0.05780i 0.95099 - 0.05855i Columns 814 through 816: 0.94945 - 0.05929i 0.94788 - 0.06003i 0.94630 - 0.06075i Columns 817 through 819: 0.94469 - 0.06146i 0.94306 - 0.06216i 0.94142 - 0.06285i Columns 820 through 822: 0.93975 - 0.06354i 0.93806 - 0.06421i 0.93635 - 0.06487i Columns 823 through 825: 0.93462 - 0.06552i 0.93287 - 0.06617i 0.93111 - 0.06680i Columns 826 through 828: 0.92932 - 0.06742i 0.92751 - 0.06803i 0.92568 - 0.06863i Columns 829 through 831: 0.92384 - 0.06922i 0.92197 - 0.06979i 0.92009 - 0.07036i Columns 832 through 834: 0.91819 - 0.07092i 0.91626 - 0.07146i 0.91433 - 0.07199i Columns 835 through 837: 0.91237 - 0.07252i 0.91039 - 0.07303i 0.90840 - 0.07352i Columns 838 through 840: 0.90639 - 0.07401i 0.90436 - 0.07449i 0.90232 - 0.07495i Columns 841 through 843: 0.90026 - 0.07540i 0.89818 - 0.07584i 0.89608 - 0.07627i Columns 844 through 846: 0.89397 - 0.07669i 0.89185 - 0.07709i 0.88970 - 0.07748i Columns 847 through 849: 0.88755 - 0.07786i 0.88537 - 0.07823i 0.88318 - 0.07858i Columns 850 through 852: 0.88098 - 0.07892i 0.87876 - 0.07925i 0.87652 - 0.07957i Columns 853 through 855: 0.87427 - 0.07988i 0.87201 - 0.08017i 0.86973 - 0.08045i Columns 856 through 858: 0.86744 - 0.08072i 0.86514 - 0.08097i 0.86282 - 0.08121i Columns 859 through 861: 0.86049 - 0.08144i 0.85814 - 0.08165i 0.85579 - 0.08186i Columns 862 through 864: 0.85342 - 0.08205i 0.85103 - 0.08222i 0.84864 - 0.08239i Columns 865 through 867: 0.84623 - 0.08254i 0.84381 - 0.08268i 0.84139 - 0.08280i Columns 868 through 870: 0.83894 - 0.08291i 0.83649 - 0.08301i 0.83403 - 0.08310i Columns 871 through 873: 0.83156 - 0.08317i 0.82907 - 0.08323i 0.82658 - 0.08327i Columns 874 through 876: 0.82407 - 0.08331i 0.82156 - 0.08333i 0.81904 - 0.08333i Columns 877 through 879: 0.81650 - 0.08333i 0.81396 - 0.08331i 0.81141 - 0.08327i Columns 880 through 882: 0.80885 - 0.08323i 0.80628 - 0.08317i 0.80371 - 0.08310i Columns 883 through 885: 0.80112 - 0.08301i 0.79853 - 0.08291i 0.79593 - 0.08280i Columns 886 through 888: 0.79333 - 0.08268i 0.79071 - 0.08254i 0.78809 - 0.08239i Columns 889 through 891: 0.78547 - 0.08222i 0.78283 - 0.08205i 0.78019 - 0.08186i Columns 892 through 894: 0.77755 - 0.08165i 0.77490 - 0.08144i 0.77224 - 0.08121i Columns 895 through 897: 0.76958 - 0.08097i 0.76691 - 0.08072i 0.76424 - 0.08045i Columns 898 through 900: 0.76156 - 0.08017i 0.75888 - 0.07988i 0.75620 - 0.07957i Columns 901 through 903: 0.75351 - 0.07925i 0.75082 - 0.07892i 0.74812 - 0.07858i Columns 904 through 906: 0.74542 - 0.07823i 0.74272 - 0.07786i 0.74002 - 0.07748i Columns 907 through 909: 0.73731 - 0.07709i 0.73460 - 0.07669i 0.73189 - 0.07627i Columns 910 through 912: 0.72918 - 0.07584i 0.72646 - 0.07540i 0.72374 - 0.07495i Columns 913 through 915: 0.72103 - 0.07449i 0.71831 - 0.07401i 0.71559 - 0.07352i Columns 916 through 918: 0.71287 - 0.07303i 0.71015 - 0.07252i 0.70743 - 0.07199i Columns 919 through 921: 0.70471 - 0.07146i 0.70199 - 0.07092i 0.69927 - 0.07036i Columns 922 through 924: 0.69655 - 0.06979i 0.69383 - 0.06922i 0.69111 - 0.06863i Columns 925 through 927: 0.68840 - 0.06803i 0.68568 - 0.06742i 0.68297 - 0.06680i Columns 928 through 930: 0.68026 - 0.06617i 0.67755 - 0.06552i 0.67484 - 0.06487i Columns 931 through 933: 0.67214 - 0.06421i 0.66944 - 0.06354i 0.66674 - 0.06285i Columns 934 through 936: 0.66405 - 0.06216i 0.66136 - 0.06146i 0.65867 - 0.06075i Columns 937 through 939: 0.65599 - 0.06003i 0.65331 - 0.05929i 0.65063 - 0.05855i Columns 940 through 942: 0.64796 - 0.05780i 0.64529 - 0.05705i 0.64263 - 0.05628i Columns 943 through 945: 0.63998 - 0.05550i 0.63732 - 0.05472i 0.63468 - 0.05392i Columns 946 through 948: 0.63204 - 0.05312i 0.62940 - 0.05231i 0.62677 - 0.05149i Columns 949 through 951: 0.62415 - 0.05066i 0.62153 - 0.04983i 0.61892 - 0.04898i Columns 952 through 954: 0.61632 - 0.04813i 0.61372 - 0.04727i 0.61113 - 0.04641i Columns 955 through 957: 0.60855 - 0.04553i 0.60597 - 0.04465i 0.60340 - 0.04376i Columns 958 through 960: 0.60084 - 0.04287i 0.59829 - 0.04197i 0.59574 - 0.04106i Columns 961 through 963: 0.59320 - 0.04015i 0.59068 - 0.03923i 0.58815 - 0.03830i Columns 964 through 966: 0.58564 - 0.03737i 0.58314 - 0.03643i 0.58065 - 0.03548i Columns 967 through 969: 0.57816 - 0.03453i 0.57568 - 0.03358i 0.57322 - 0.03261i Columns 970 through 972: 0.57076 - 0.03165i 0.56831 - 0.03068i 0.56587 - 0.02970i Columns 973 through 975: 0.56345 - 0.02872i 0.56103 - 0.02773i 0.55862 - 0.02675i Columns 976 through 978: 0.55622 - 0.02575i 0.55384 - 0.02475i 0.55146 - 0.02375i Columns 979 through 981: 0.54909 - 0.02275i 0.54674 - 0.02174i 0.54440 - 0.02072i Columns 982 through 984: 0.54206 - 0.01971i 0.53974 - 0.01869i 0.53743 - 0.01767i Columns 985 through 987: 0.53513 - 0.01664i 0.53285 - 0.01562i 0.53057 - 0.01459i Columns 988 through 990: 0.52831 - 0.01355i 0.52605 - 0.01252i 0.52381 - 0.01148i Columns 991 through 993: 0.52159 - 0.01044i 0.51937 - 0.00940i 0.51717 - 0.00836i Columns 994 through 996: 0.51498 - 0.00732i 0.51280 - 0.00628i 0.51063 - 0.00523i Columns 997 through 999: 0.50848 - 0.00419i 0.50634 - 0.00314i 0.50421 - 0.00209i Columns 1000 and 1001: 0.50210 - 0.00105i 0.50000 - 0.00000i octave:13> ft octave:14> uhatxx uhatxx = Columns 1 through 3: 0.50000 - 0.00000i 0.49843 - 0.00000i 0.49688 - 0.00000i Columns 4 through 6: 0.49533 - 0.00000i 0.49380 - 0.00000i 0.49227 - 0.00000i Columns 7 through 9: 0.49075 - 0.00000i 0.48924 - 0.00000i 0.48775 - 0.00000i Columns 10 through 12: 0.48626 - 0.00000i 0.48478 - 0.00000i 0.48331 - 0.00000i Columns 13 through 15: 0.48185 - 0.00000i 0.48040 - 0.00000i 0.47896 - 0.00000i Columns 16 through 18: 0.47753 - 0.00000i 0.47611 - 0.00000i 0.47470 - 0.00000i Columns 19 through 21: 0.47329 - 0.00000i 0.47190 - 0.00000i 0.47051 - 0.00000i Columns 22 through 24: 0.46914 - 0.00000i 0.46777 - 0.00000i 0.46642 - 0.00000i Columns 25 through 27: 0.46507 - 0.00000i 0.46373 - 0.00000i 0.46240 + 0.00000i Columns 28 through 30: 0.46108 + 0.00000i 0.45977 + 0.00000i 0.45846 + 0.00000i Columns 31 through 33: 0.45717 + 0.00000i 0.45588 + 0.00000i 0.45461 + 0.00000i Columns 34 through 36: 0.45334 + 0.00000i 0.45208 + 0.00000i 0.45083 + 0.00000i Columns 37 through 39: 0.44959 + 0.00000i 0.44835 + 0.00000i 0.44713 + 0.00000i Columns 40 through 42: 0.44591 + 0.00000i 0.44470 + 0.00000i 0.44350 + 0.00000i Columns 43 through 45: 0.44231 + 0.00000i 0.44113 + 0.00000i 0.43996 + 0.00000i Columns 46 through 48: 0.43879 + 0.00000i 0.43763 + 0.00000i 0.43648 + 0.00000i Columns 49 through 51: 0.43534 + 0.00000i 0.43421 + 0.00000i 0.43308 - 0.00000i Columns 52 through 54: 0.43197 - 0.00000i 0.43086 - 0.00000i 0.42976 - 0.00000i Columns 55 through 57: 0.42867 - 0.00000i 0.42758 - 0.00000i 0.42650 - 0.00000i Columns 58 through 60: 0.42544 - 0.00000i 0.42437 - 0.00000i 0.42332 - 0.00000i Columns 61 through 63: 0.42228 - 0.00000i 0.42124 - 0.00000i 0.42021 - 0.00000i Columns 64 through 66: 0.41918 - 0.00000i 0.41817 - 0.00000i 0.41716 - 0.00000i Columns 67 through 69: 0.41616 - 0.00000i 0.41517 - 0.00000i 0.41419 - 0.00000i Columns 70 through 72: 0.41321 - 0.00000i 0.41224 - 0.00000i 0.41128 - 0.00000i Columns 73 through 75: 0.41032 - 0.00000i 0.40937 - 0.00000i 0.40843 - 0.00000i Columns 76 through 78: 0.40750 - 0.00000i 0.40657 + 0.00000i 0.40565 + 0.00000i Columns 79 through 81: 0.40474 + 0.00000i 0.40384 + 0.00000i 0.40294 + 0.00000i Columns 82 through 84: 0.40205 + 0.00000i 0.40117 + 0.00000i 0.40029 + 0.00000i Columns 85 through 87: 0.39942 + 0.00000i 0.39856 + 0.00000i 0.39770 + 0.00000i Columns 88 through 90: 0.39685 + 0.00000i 0.39601 + 0.00000i 0.39518 + 0.00000i Columns 91 through 93: 0.39435 + 0.00000i 0.39353 + 0.00000i 0.39271 + 0.00000i Columns 94 through 96: 0.39190 + 0.00000i 0.39110 + 0.00000i 0.39031 + 0.00000i Columns 97 through 99: 0.38952 + 0.00000i 0.38874 + 0.00000i 0.38796 + 0.00000i Columns 100 through 102: 0.38719 + 0.00000i 0.38643 + 0.00000i 0.38567 - 0.00000i Columns 103 through 105: 0.38493 - 0.00000i 0.38418 - 0.00000i 0.38345 - 0.00000i Columns 106 through 108: 0.38272 - 0.00000i 0.38199 - 0.00000i 0.38127 - 0.00000i Columns 109 through 111: 0.38056 - 0.00000i 0.37986 - 0.00000i 0.37916 - 0.00000i Columns 112 through 114: 0.37846 - 0.00000i 0.37778 - 0.00000i 0.37710 - 0.00000i Columns 115 through 117: 0.37642 - 0.00000i 0.37575 - 0.00000i 0.37509 - 0.00000i Columns 118 through 120: 0.37444 - 0.00000i 0.37379 - 0.00000i 0.37314 - 0.00000i Columns 121 through 123: 0.37250 - 0.00000i 0.37187 - 0.00000i 0.37124 - 0.00000i Columns 124 through 126: 0.37062 - 0.00000i 0.37001 - 0.00000i 0.36940 + 0.00000i Columns 127 through 129: 0.36879 + 0.00000i 0.36820 + 0.00000i 0.36761 + 0.00000i Columns 130 through 132: 0.36702 + 0.00000i 0.36644 + 0.00000i 0.36586 + 0.00000i Columns 133 through 135: 0.36530 + 0.00000i 0.36473 + 0.00000i 0.36417 + 0.00000i Columns 136 through 138: 0.36362 + 0.00000i 0.36308 + 0.00000i 0.36253 + 0.00000i Columns 139 through 141: 0.36200 + 0.00000i 0.36147 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4.90987087313542e-01 + 5.34641534250753e-20i 4.93735543313908e-01 - 1.63070466164851e-18i 4.96548241422259e-01 + 2.40884107746145e-18i 4.99424581346484e-01 + 4.27713227400602e-19i 5.02363922141927e-01 + 1.11199003215415e-17i 5.05365580150202e-01 - 7.76414488956571e-18i 5.08428826874573e-01 - 2.12506264667370e-19i 5.11552886792403e-01 - 2.75907372223525e-18i 5.14736935105413e-01 - 6.22986797019048e-18i 5.17980095428800e-01 + 6.21595978452066e-35i 5.21281437420584e-01 + 2.62855902240362e-18i 5.24639974352921e-01 - 3.00879497526230e-19i 5.28054660627522e-01 + 1.72260375513811e-19i 5.31524389237761e-01 - 6.30315584264193e-18i 5.35047989180554e-01 + 8.79970588092408e-19i 5.38624222821619e-01 + 8.39825825079517e-19i 5.42251783218344e-01 + 1.31471335736774e-17i 5.45929291405107e-01 - 1.07252828353770e-17i 5.49655293646623e-01 - 4.52781024301977e-19i 5.53428258665660e-01 - 6.36351239749592e-18i 5.57246574852288e-01 - 9.47468940946921e-18i octave:22> plot(x,real(u)) octave:23> diary off