High-Order Iterative Methods for the DMP Inverse

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:3.26em"/><col style="width:6.33em"/><col style="width:6.33em"/><col style="width:4.86em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Steps</td><td class="align_center"><span style="width: 62.9159ptpx;"><svg height="18.1068pt" id="M221" style="vertical-align:-5.726pt" version="1.1" viewbox="-0.0498162 -12.3808 62.9159 18.1068" width="62.9159pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-8.469)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,-4.867)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,-1.266)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,2.336)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,5.937)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,5.363,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path></g><g transform="matrix(.0091,0,0,-0.0091,14.498,-5.741)"><path d="M786 370C786 572 637 650 431 650H137L130 618C217 606 220 603 204 519L129 127C115 48 107 39 26 30L18 0H270C410 0 516 20 609 75C722 140 786 240 786 370ZM683 373C683 178 547 40 323 40C298 40 264 40 241 45C213 51 207 64 220 127L295 545C304 582 309 595 320 601C335 610 367 613 406 613C570 613 683 538 683 373Z" id="g50-69"></path></g><g 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d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,.535)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,0,4.136)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,5.363,0)"><path d="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z" id="g113-89"></path></g><g transform="matrix(.0091,0,0,-0.0091,15.243,3.132)"><path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path></g><g transform="matrix(.013,0,0,-0.013,23.323,0)"><path d="M535 230V280H52V230H535Z" id="g117-33"></path></g><g transform="matrix(.013,0,0,-0.013,33.86,0)"><path d="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z" id="g113-89"></path></g><g transform="matrix(.0091,0,0,-0.0091,43.74,3.132)"><path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path></g><g transform="matrix(.0091,0,0,-0.0091,48.399,3.132)"><path d="M556 236V289H56V236H556Z" id="g54-33"></path></g><g transform="matrix(.0091,0,0,-0.0091,53.959,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path></g><g transform="matrix(.013,0,0,-0.013,58.944,-6.668)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,58.944,-3.066)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,58.944,.535)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g><g transform="matrix(.013,0,0,-0.013,58.944,4.136)"><path d="M162 0V316H102V0H162ZM309 0V316H249V0H309Z" id="g119-35"></path></g></svg></span></td><td class="align_center"> CPU time</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">5</td><td class="align_center"><span style="width: 65.7913ptpx;"><svg height="8.69875pt" id="M223" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -8.34882 65.7913 8.69875" width="65.7913pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 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<div> Numerical results of Scheme II (<a href="https://static.hindawi.com/articles/jmath/volume-2018/8175935/figures/#EEq4.1" target="_blank">28</a>) in Example <a href="https://static.hindawi.com/articles/jmath/volume-2018/8175935/figures/#ex4.1" target="_blank">1</a> in Section <a href="https://static.hindawi.com/articles/jmath/volume-2018/8175935/figures/#sec4.2" target="_blank">4.2</a>.</div>

Journal of Mathematics

High-Order Iterative Methods for the DMP Inverse

Table 2