https://spindynamics.org/wiki/index.php?action=history&feed=atom&title=Arnoldi.m
Arnoldi.m - Revision history
2026-08-12T02:56:43Z
Revision history for this page on the wiki
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Kuprov: Update function See also links and function index membership
2026-06-06T18:34:27Z
<p>Update function See also links and function index membership</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 18:34, 6 June 2026</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See also==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See also==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Kernel_utilities<del class="diffchange diffchange-inline">#Numerical_infrastructure|Numerical infrastructure</del>]]</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[acomm.m]], [[atranspose.m]], [[aux_mat.m]], [[binpack.m]], [[cheap_norm.m]], [[cheb_coeff.m]], [[clean_up.m]], [[dirdiff.m]], [[eigenfields.m]], [[expdrop.m]], [[expmint.m]], [[expmint2.m]], [[fftdiff.m]], [[fourdif.m]], [[fourlap.m]], [[frob_chop.m]], [[gaussfun.m]], [[hdot.m]], [[herm_spline.m]], [[jacobianest.m]], [[keep_rank.m]], [[krondelta.m]], [[kronm_new.m]], [[logfactorial.m]], [[lorentzcon.m]], [[lorentzfun.m]], [[md5_hash.m]], [[mprealloc.m]], [[remncomm.m]], [[remtrace.m]], [[rspert.m]], [[rspt_eig.m]], [[snormpdf.m]], [[svd_shrink.m]], [[tikhoind.m]], [[tikhonov.m]], [[trapdiff.m]], [[unit_oper.m]], [[unit_state.m]], [[vvpert.m]], </ins>[[Kernel_utilities]]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td></tr>
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Kuprov
https://spindynamics.org/wiki/index.php?title=Arnoldi.m&diff=8142&oldid=prev
Kuprov: Rename Arguments section heading to Parameters
2026-06-05T17:47:22Z
<p>Rename Arguments section heading to Parameters</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 17:47, 5 June 2026</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>==<del class="diffchange diffchange-inline">Arguments</del>==</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>==<ins class="diffchange diffchange-inline">Parameters</ins>==</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     Op    - function handle taking in a column vector  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     Op    - function handle taking in a column vector  </div></td></tr>
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Kuprov
https://spindynamics.org/wiki/index.php?title=Arnoldi.m&diff=6685&oldid=prev
Kuprov: Normalise sequential blank lines
2026-04-25T11:23:01Z
<p>Normalise sequential blank lines</p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td></tr>
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Kuprov
https://spindynamics.org/wiki/index.php?title=Arnoldi.m&diff=4630&oldid=prev
Kuprov: /* Outputs */
2022-10-19T13:55:41Z
<p><span dir="auto"><span class="autocomment">Outputs</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     V - a matrix containing the orthonormal basis vec-</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     V - a matrix containing the orthonormal basis vec-</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>         tors of the Krylov subspace in columns</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>         tors of the Krylov subspace in columns</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     H - extended Hessenberg matrix</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>     H - extended Hessenberg matrix</div></td></tr>
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Kuprov
https://spindynamics.org/wiki/index.php?title=Arnoldi.m&diff=4629&oldid=prev
Kuprov: /* See also */
2022-10-19T13:54:31Z
<p><span dir="auto"><span class="autocomment">See also</span></span></p>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Kernel_utilities#Numerical_infrastructure]]</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Kernel_utilities#Numerical_infrastructure<ins class="diffchange diffchange-inline">|Numerical infrastructure</ins>]]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Version 2.7, authors: [[Ilya Kuprov]]''</div></td></tr>
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Kuprov
https://spindynamics.org/wiki/index.php?title=Arnoldi.m&diff=4627&oldid=prev
Kuprov: Created page with "{{DISPLAYTITLE:arnoldi.m}} __NOTOC__ Arnoldi procedure for the creation of an orthonormal Krylov basis from repeated action by an operator on a vector. The procedure is numeri..."
2022-10-19T13:52:39Z
<p>Created page with "{{DISPLAYTITLE:arnoldi.m}} __NOTOC__ Arnoldi procedure for the creation of an orthonormal Krylov basis from repeated action by an operator on a vector. The procedure is numeri..."</p>
<p><b>New page</b></p><div>{{DISPLAYTITLE:arnoldi.m}} __NOTOC__<br />
Arnoldi procedure for the creation of an orthonormal Krylov basis from repeated action by an operator on a vector. The procedure is numerically unstable and must be used with caution.<br />
<br />
==Syntax==<br />
<br />
[V,H]=arnoldi(Op,v0,niter)<br />
<br />
==Arguments==<br />
<br />
Op - function handle taking in a column vector <br />
and returning another column vector<br />
<br />
v0 - starting vector of the Arnoldi process<br />
<br />
nsteps - number of iterations to take; the Krylov<br />
subspace will be nsteps+1 dimensional<br />
<br />
==Outputs==<br />
<br />
V - a matrix containing the orthonormal basis vec-<br />
tors of the Krylov subspace in columns<br />
<br />
H - extended Hessenberg matrix<br />
<br />
==See also==<br />
[[Kernel_utilities#Numerical_infrastructure]]<br />
<br />
<br />
''Version 2.7, authors: [[Ilya Kuprov]]''</div>
Kuprov