diff --git a/docs/pdf/methods.tex b/docs/pdf/methods.tex index 9a2a8d26..f44fc1f6 100644 --- a/docs/pdf/methods.tex +++ b/docs/pdf/methods.tex @@ -26,7 +26,7 @@ later). In the above formulae, $x_i$ is the tentative solution and $r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. -\syntax{call psb\_krylov}{method,a,prec,b,x,eps,desc\_a,info,itmax,iter,err,itrace,istop} +\syntax{call psb\_krylov}{method,a,prec,b,x,eps,desc\_a,info,itmax,iter,err,itrace,irst,istop} \begin{description} \item[\bf On Entry] @@ -75,6 +75,12 @@ Specified as: an integer variable $itmax \ge 1$. convergence every $itrace$ iterations.\\ Scope: {\bf global} \\ Type: {\bf optional}\\ +\item[irst] An integer specifying the restart parameter.\\ +Scope: {\bf global} \\ +Type: {\bf optional}.\\ +Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES +methods, otherwise it is ignored. + \item[istop] An integer specifying the stopping criterion.\\ Scope: {\bf global} \\ Type: {\bf optional}.\\ diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 2d475c7e..2641e338 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -28966,21 +28966,21 @@ endobj /ProcSet [ /PDF /Text ] >> endobj 1406 0 obj << -/Length 10344 +/Length 9788 >> stream 1 0 0 1 150.7049 740.9981 cm 0 g 0 G 1 0 0 1 343.7111 0 cm 0 g 0 G -1 0 0 1 -348.6924 -58.6097 cm +1 0 0 1 -348.6924 -62.1651 cm 0 g 0 G 0 g 0 G -1 0 0 1 -145.7236 -682.3884 cm +1 0 0 1 -145.7236 -678.833 cm BT -/F18 14.3462 Tf 150.7049 682.3884 Td[(psb)]TJ +/F18 14.3462 Tf 150.7049 678.833 Td[(psb)]TJ ET -1 0 0 1 175.972 682.3884 cm +1 0 0 1 175.972 678.833 cm q []0 d 0 J @@ -28989,11 +28989,11 @@ q 4.8419 0.1992 l S Q -1 0 0 1 -175.972 -682.3884 cm +1 0 0 1 -175.972 -678.833 cm BT -/F18 14.3462 Tf 180.8139 682.3884 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/isFixedPitch false def end readonly def -/FontName /UOAGND+CMR6 def +/FontName /THZESH+CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -30723,18 +30771,18 @@ endobj 562 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1451 0 R +/Encoding 1455 0 R /FirstChar 49 /LastChar 50 -/Widths 1452 0 R -/BaseFont /UOAGND+CMR6 +/Widths 1456 0 R +/BaseFont /THZESH+CMR6 /FontDescriptor 560 0 R >> endobj 560 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /UOAGND+CMR6 +/FontName /THZESH+CMR6 /ItalicAngle 0 /StemV 83 /XHeight 431 @@ -30743,10 +30791,10 @@ endobj /CharSet (/one/two) /FontFile 561 0 R >> endobj -1452 0 obj +1456 0 obj [611 611 ] endobj -1451 0 obj << +1455 0 obj << /Type /Encoding /Differences [ 0 /.notdef 49/one/two 51/.notdef] >> endobj @@ -30770,7 +30818,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /SUTNUF+CMR7 def +/FontName /WMSWSO+CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -30805,18 +30853,18 @@ endobj 559 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1453 0 R +/Encoding 1457 0 R /FirstChar 43 /LastChar 58 -/Widths 1454 0 R -/BaseFont /SUTNUF+CMR7 +/Widths 1458 0 R +/BaseFont /WMSWSO+CMR7 /FontDescriptor 557 0 R >> endobj 557 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /SUTNUF+CMR7 +/FontName /WMSWSO+CMR7 /ItalicAngle 0 /StemV 79 /XHeight 431 @@ -30825,10 +30873,10 @@ endobj /CharSet (/plus/one/two/colon) /FontFile 558 0 R >> endobj -1454 0 obj +1458 0 obj [877 0 0 0 0 0 569 569 0 0 0 0 0 0 0 323 ] endobj -1453 0 obj << +1457 0 obj << /Type /Encoding /Differences [ 0 /.notdef 43/plus 44/.notdef 49/one/two 51/.notdef 58/colon 59/.notdef] >> endobj @@ -30852,7 +30900,7 @@ stream /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /NLUKVT+CMTT10 def +/FontName /OCWGFS+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -30975,18 +31023,18 @@ endobj 554 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1455 0 R +/Encoding 1459 0 R /FirstChar 40 /LastChar 126 -/Widths 1456 0 R -/BaseFont /NLUKVT+CMTT10 +/Widths 1460 0 R +/BaseFont /OCWGFS+CMTT10 /FontDescriptor 552 0 R >> endobj 552 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /NLUKVT+CMTT10 +/FontName /OCWGFS+CMTT10 /ItalicAngle 0 /StemV 69 /XHeight 431 @@ -30995,10 +31043,10 @@ endobj /CharSet (/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/nine/colon/equal/A/B/C/E/F/I/K/L/N/O/P/S/T/W/Y/backslash/underscore/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/asciitilde) /FontFile 553 0 R >> endobj -1456 0 obj +1460 0 obj [525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 525 525 0 0 525 0 0 0 525 525 525 0 525 525 0 0 525 0 525 525 0 525 525 525 0 0 525 525 0 0 525 0 525 0 0 525 0 0 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 525 ] endobj -1455 0 obj << +1459 0 obj << /Type /Encoding /Differences [ 0 /.notdef 40/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six 55/.notdef 57/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C 68/.notdef 69/E/F 71/.notdef 73/I 74/.notdef 75/K/L 77/.notdef 78/N/O/P 81/.notdef 83/S/T 85/.notdef 87/W 88/.notdef 89/Y 90/.notdef 92/backslash 93/.notdef 95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef 126/asciitilde 127/.notdef] >> endobj @@ -31022,7 +31070,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /VQKNZP+CMMI10 def +/FontName /MPZAGI+CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31115,18 +31163,18 @@ endobj 548 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1457 0 R +/Encoding 1461 0 R /FirstChar 11 /LastChar 122 -/Widths 1458 0 R -/BaseFont /VQKNZP+CMMI10 +/Widths 1462 0 R +/BaseFont /MPZAGI+CMMI10 /FontDescriptor 546 0 R >> endobj 546 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /VQKNZP+CMMI10 +/FontName /MPZAGI+CMMI10 /ItalicAngle -14.04 /StemV 72 /XHeight 431 @@ -31135,10 +31183,10 @@ endobj /CharSet (/alpha/beta/period/comma/less/greater/A/D/I/L/N/P/Q/T/U/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/r/s/t/u/v/w/x/y/z) /FontFile 547 0 R >> endobj -1458 0 obj +1462 0 obj [640 566 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 278 278 778 0 778 0 0 750 0 0 828 0 0 0 0 440 0 0 681 0 803 0 642 791 0 0 584 683 0 0 0 0 0 0 0 0 0 0 0 529 429 433 520 466 490 477 576 345 412 521 298 878 600 485 503 0 451 469 361 572 485 716 572 490 465 ] endobj -1457 0 obj << +1461 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/alpha/beta 13/.notdef 58/period/comma/less 61/.notdef 62/greater 63/.notdef 65/A 66/.notdef 68/D 69/.notdef 73/I 74/.notdef 76/L 77/.notdef 78/N 79/.notdef 80/P/Q 82/.notdef 84/T/U 86/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj @@ -31162,7 +31210,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /DSWAWT+CMTI10 def +/FontName /IDCANP+CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31308,18 +31356,18 @@ endobj 533 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1459 0 R +/Encoding 1463 0 R /FirstChar 11 /LastChar 122 -/Widths 1460 0 R -/BaseFont /DSWAWT+CMTI10 +/Widths 1464 0 R +/BaseFont /IDCANP+CMTI10 /FontDescriptor 531 0 R >> endobj 531 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /DSWAWT+CMTI10 +/FontName /IDCANP+CMTI10 /ItalicAngle -14.04 /StemV 68 /XHeight 431 @@ -31328,10 +31376,10 @@ endobj /CharSet (/ff/fi/fl/quoteright/comma/hyphen/period/slash/zero/one/two/three/five/eight/nine/colon/equal/A/B/C/D/E/F/G/I/K/L/M/N/O/P/R/S/T/U/V/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z) /FontFile 532 0 R >> endobj -1460 0 obj +1464 0 obj [613 562 588 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 307 0 0 0 0 307 358 307 511 511 511 511 511 0 511 0 0 511 511 307 0 0 767 0 0 0 743 704 716 755 678 653 774 0 386 0 769 627 897 743 767 678 0 729 562 716 743 743 0 0 0 0 0 0 0 0 0 0 511 460 460 511 460 307 460 511 307 307 460 256 818 562 511 511 460 422 409 332 537 460 664 464 486 409 ] endobj -1459 0 obj << +1463 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/ff/fi/fl 14/.notdef 39/quoteright 40/.notdef 44/comma/hyphen/period/slash/zero/one/two/three 52/.notdef 53/five 54/.notdef 56/eight/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G 72/.notdef 73/I 74/.notdef 75/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V 87/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj @@ -31355,7 +31403,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /YVRMWL+CMR10 def +/FontName /VOCQHQ+CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31523,18 +31571,18 @@ endobj 410 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1461 0 R +/Encoding 1465 0 R /FirstChar 11 /LastChar 123 -/Widths 1462 0 R -/BaseFont /YVRMWL+CMR10 +/Widths 1466 0 R +/BaseFont /VOCQHQ+CMR10 /FontDescriptor 408 0 R >> endobj 408 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /YVRMWL+CMR10 +/FontName /VOCQHQ+CMR10 /ItalicAngle 0 /StemV 69 /XHeight 431 @@ -31543,10 +31591,10 @@ endobj /CharSet (/ff/fi/fl/ffi/quotedblright/ampersand/quoteright/parenleft/parenright/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/equal/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/Y/bracketleft/quotedblleft/bracketright/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash) /FontFile 409 0 R >> endobj -1462 0 obj +1466 0 obj [583 556 556 833 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 778 278 389 389 0 778 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 0 778 0 0 0 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 0 736 556 722 750 750 1028 750 750 0 278 500 278 0 0 0 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 ] endobj -1461 0 obj << +1465 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/ff/fi/fl/ffi 15/.notdef 34/quotedblright 35/.notdef 38/ampersand/quoteright/parenleft/parenright 42/.notdef 43/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V/W/X/Y 90/.notdef 91/bracketleft/quotedblleft/bracketright 94/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash 124/.notdef] >> endobj @@ -31570,7 +31618,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /NKGSGB+CMBX10 def +/FontName /DOBGMO+CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31706,18 +31754,18 @@ endobj 407 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1463 0 R +/Encoding 1467 0 R /FirstChar 12 /LastChar 123 -/Widths 1464 0 R -/BaseFont /NKGSGB+CMBX10 +/Widths 1468 0 R +/BaseFont /DOBGMO+CMBX10 /FontDescriptor 405 0 R >> endobj 405 0 obj << /Ascent 694 /CapHeight 686 /Descent -194 -/FontName /NKGSGB+CMBX10 +/FontName /DOBGMO+CMBX10 /ItalicAngle 0 /StemV 114 /XHeight 444 @@ -31726,10 +31774,10 @@ endobj /CharSet (/fi/fl/quotedblright/quoteright/comma/period/zero/one/two/three/four/five/six/seven/eight/nine/colon/equal/A/B/C/D/E/F/G/H/I/J/L/M/N/O/P/R/S/T/U/V/quotedblleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash) /FontFile 406 0 R >> endobj -1464 0 obj +1468 0 obj [639 639 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 603 0 0 0 0 319 0 0 0 0 319 0 319 0 575 575 575 575 575 575 575 575 575 575 319 0 0 894 0 0 0 869 818 831 882 756 724 904 900 436 594 0 692 1092 900 864 786 0 862 639 800 885 869 0 0 0 0 0 603 0 0 0 0 559 639 511 639 527 351 575 639 319 351 607 319 958 639 575 639 607 474 454 447 639 607 831 607 607 511 575 ] endobj -1463 0 obj << +1467 0 obj << /Type /Encoding /Differences [ 0 /.notdef 12/fi/fl 14/.notdef 34/quotedblright 35/.notdef 39/quoteright 40/.notdef 44/comma 45/.notdef 46/period 47/.notdef 48/zero/one/two/three/four/five/six/seven/eight/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J 75/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S/T/U/V 87/.notdef 92/quotedblleft 93/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash 124/.notdef] >> endobj @@ -31753,7 +31801,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /RHENEF+CMTI12 def +/FontName /UWHRBW+CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31819,18 +31867,18 @@ endobj 404 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1465 0 R +/Encoding 1469 0 R /FirstChar 65 /LastChar 121 -/Widths 1466 0 R -/BaseFont /RHENEF+CMTI12 +/Widths 1470 0 R +/BaseFont /UWHRBW+CMTI12 /FontDescriptor 402 0 R >> endobj 402 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /RHENEF+CMTI12 +/FontName /UWHRBW+CMTI12 /ItalicAngle -14.04 /StemV 63 /XHeight 431 @@ -31839,10 +31887,10 @@ endobj /CharSet (/A/B/L/P/S/a/b/c/d/e/f/g/h/i/l/n/o/p/r/s/t/u/y) /FontFile 403 0 R >> endobj -1466 0 obj +1470 0 obj [727 688 0 0 0 0 0 0 0 0 0 613 0 0 0 663 0 0 550 0 0 0 0 0 0 0 0 0 0 0 0 0 500 450 450 500 450 300 450 500 300 0 0 250 0 550 500 500 0 413 400 325 525 0 0 0 475 ] endobj -1465 0 obj << +1469 0 obj << /Type /Encoding /Differences [ 0 /.notdef 65/A/B 67/.notdef 76/L 77/.notdef 80/P 81/.notdef 83/S 84/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 108/l 109/.notdef 110/n/o/p 113/.notdef 114/r/s/t/u 118/.notdef 121/y 122/.notdef] >> endobj @@ -31866,7 +31914,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /IWBAHA+CMBX12 def +/FontName /GGHJVQ+CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31998,18 +32046,18 @@ endobj 401 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1467 0 R +/Encoding 1471 0 R /FirstChar 12 /LastChar 124 -/Widths 1468 0 R -/BaseFont /IWBAHA+CMBX12 +/Widths 1472 0 R +/BaseFont /GGHJVQ+CMBX12 /FontDescriptor 399 0 R >> endobj 399 0 obj << /Ascent 694 /CapHeight 686 /Descent -194 -/FontName /IWBAHA+CMBX12 +/FontName /GGHJVQ+CMBX12 /ItalicAngle 0 /StemV 109 /XHeight 444 @@ -32018,163 +32066,163 @@ endobj /CharSet (/fi/quoteright/parenleft/parenright/hyphen/period/zero/one/two/three/four/five/six/seven/eight/nine/A/B/C/D/E/F/G/H/I/K/L/M/N/O/P/R/S/T/U/V/W/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash) /FontFile 400 0 R >> endobj -1468 0 obj +1472 0 obj [625 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 312 437 437 0 0 0 375 312 0 562 562 562 562 562 562 562 562 562 562 0 0 0 0 0 0 0 850 800 812 862 738 707 884 880 419 0 881 676 1067 880 845 769 0 839 625 782 865 850 1162 0 0 0 0 0 0 0 0 0 547 625 500 625 513 344 562 625 312 0 594 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