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<title>Singular Value Decomposition Solvers - SVD</title>
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<div id="version" align=right><b>slepc-3.22.2 2024-12-02</b></div>
<div id="bugreport" align=right><a href="mailto:slepc-maint@upv.es?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: slepc-3.22.2 v3.22.2 docs/manualpages/SVD/index.html "><small>Report Typos and Errors</small></a></div>
<h2>Singular Value Decomposition Solvers - SVD: <a href="../../../src/svd/tutorials/index.html">Examples</a> <a href="../../../src/svd/tutorials/cnetwork/index.html">Complex Networks</a></h2>
<p>
The Singular Value Decomposition Solver (SVD) is very similar to the EPS object, but intended for the computation of the partial SVD of a rectangular matrix. With this type of object, the user can specify an SVD problem and solve it with any of the different solvers encapsulated by the package. Some of these solvers are actually implemented through calls to EPS eigensolvers.
</p>
<p>
The user interface is very similar to that of EPS, both for the options database (e.g., <code>-svd_nsv 4 -svd_type lanczos</code>), and for the programmatic interface (e.g., <a href="SVDSetDimensions.html">SVDSetDimensions</a>() / <a href="SVDSetType.html">SVDSetType</a>()).
</p>
<P>
<TABLE>
<TR><TD WIDTH=250 COLSPAN="3"><B>Beginner - Basic usage</B></TD></TR>
<TD WIDTH=250><A HREF="./SVD.html">SVD</A></TD>
<TD WIDTH=250><A HREF="./SVDGetConverged.html">SVDGetConverged</A></TD>
<TD WIDTH=250><A HREF="./SVDSetOperators.html">SVDSetOperators</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDComputeError.html">SVDComputeError</A></TD>
<TD WIDTH=250><A HREF="./SVDGetSingularTriplet.html">SVDGetSingularTriplet</A></TD>
<TD WIDTH=250><A HREF="./SVDSolve.html">SVDSolve</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCreate.html">SVDCreate</A></TD>
<TD WIDTH=250><A HREF="./SVDProblemType.html">SVDProblemType</A></TD>
<TD WIDTH=250><A HREF="./SVDType.html">SVDType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDDestroy.html">SVDDestroy</A></TD>
<TD WIDTH=250><A HREF="./SVDSetFromOptions.html">SVDSetFromOptions</A></TD>
<TD WIDTH=250><A HREF="./SVDView.html">SVDView</A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Intermediate - Setting options for algorithms and data structures</B></TD></TR>
<TD WIDTH=250><A HREF="./SVDConv.html">SVDConv</A></TD>
<TD WIDTH=250><A HREF="./SVDGetType.html">SVDGetType</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorFirstDrawLGCreate.html">SVDMonitorFirstDrawLGCreate</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDConvergedReason.html">SVDConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./SVDGetWhichSingularTriplets.html">SVDGetWhichSingularTriplets</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorSet.html">SVDMonitorSet</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDConvergedReasonView.html">SVDConvergedReasonView</A></TD>
<TD WIDTH=250><A HREF="./SVDIsGeneralized.html">SVDIsGeneralized</A></TD>
<TD WIDTH=250><A HREF="./SVDSetConvergenceTest.html">SVDSetConvergenceTest</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDErrorType.html">SVDErrorType</A></TD>
<TD WIDTH=250><A HREF="./SVDIsHyperbolic.html">SVDIsHyperbolic</A></TD>
<TD WIDTH=250><A HREF="./SVDSetDimensions.html">SVDSetDimensions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDErrorView.html">SVDErrorView</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorAll.html">SVDMonitorAll</A></TD>
<TD WIDTH=250><A HREF="./SVDSetInitialSpaces.html">SVDSetInitialSpaces</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetConvergedReason.html">SVDGetConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorAllDrawLG.html">SVDMonitorAllDrawLG</A></TD>
<TD WIDTH=250><A HREF="./SVDSetProblemType.html">SVDSetProblemType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetConvergenceTest.html">SVDGetConvergenceTest</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorAllDrawLGCreate.html">SVDMonitorAllDrawLGCreate</A></TD>
<TD WIDTH=250><A HREF="./SVDSetSignature.html">SVDSetSignature</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetDimensions.html">SVDGetDimensions</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorCancel.html">SVDMonitorCancel</A></TD>
<TD WIDTH=250><A HREF="./SVDSetTolerances.html">SVDSetTolerances</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetIterationNumber.html">SVDGetIterationNumber</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorConditioning.html">SVDMonitorConditioning</A></TD>
<TD WIDTH=250><A HREF="./SVDSetType.html">SVDSetType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetMonitorContext.html">SVDGetMonitorContext</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorConverged.html">SVDMonitorConverged</A></TD>
<TD WIDTH=250><A HREF="./SVDSetWhichSingularTriplets.html">SVDSetWhichSingularTriplets</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetOperators.html">SVDGetOperators</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorConvergedDrawLG.html">SVDMonitorConvergedDrawLG</A></TD>
<TD WIDTH=250><A HREF="./SVDValuesView.html">SVDValuesView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetProblemType.html">SVDGetProblemType</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorConvergedDrawLGCreate.html">SVDMonitorConvergedDrawLGCreate</A></TD>
<TD WIDTH=250><A HREF="./SVDVectorsView.html">SVDVectorsView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetSignature.html">SVDGetSignature</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorFirst.html">SVDMonitorFirst</A></TD>
<TD WIDTH=250><A HREF="./SVDViewFromOptions.html">SVDViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetTolerances.html">SVDGetTolerances</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorFirstDrawLG.html">SVDMonitorFirstDrawLG</A></TD>
<TD WIDTH=250><A HREF="./SVDWhich.html">SVDWhich</A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Advanced - Setting more advanced options and customization</B></TD></TR>
<TD WIDTH=250><A HREF="./SVDAppendOptionsPrefix.html">SVDAppendOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./SVDKSVDSetPolarMethod.html">SVDKSVDSetPolarMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDStop.html">SVDStop</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDConvergenceTestFn.html">SVDConvergenceTestFn</A></TD>
<TD WIDTH=250><A HREF="./SVDLanczosGetOneSide.html">SVDLanczosGetOneSide</A></TD>
<TD WIDTH=250><A HREF="./SVDStoppingBasic.html">SVDStoppingBasic</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCrossGetEPS.html">SVDCrossGetEPS</A></TD>
<TD WIDTH=250><A HREF="./SVDLanczosSetOneSide.html">SVDLanczosSetOneSide</A></TD>
<TD WIDTH=250><A HREF="./SVDStoppingTestFn.html">SVDStoppingTestFn</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCrossGetExplicitMatrix.html">SVDCrossGetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorRegister.html">SVDMonitorRegister</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGBidiag.html">SVDTRLanczosGBidiag</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCrossSetEPS.html">SVDCrossSetEPS</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorRegisterAll.html">SVDMonitorRegisterAll</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetExplicitMatrix.html">SVDTRLanczosGetExplicitMatrix</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCrossSetExplicitMatrix.html">SVDCrossSetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./SVDPRIMMEGetBlockSize.html">SVDPRIMMEGetBlockSize</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetGBidiag.html">SVDTRLanczosGetGBidiag</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCyclicGetEPS.html">SVDCyclicGetEPS</A></TD>
<TD WIDTH=250><A HREF="./SVDPRIMMEGetMethod.html">SVDPRIMMEGetMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetKSP.html">SVDTRLanczosGetKSP</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCyclicGetExplicitMatrix.html">SVDCyclicGetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./SVDPRIMMEMethod.html">SVDPRIMMEMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetLocking.html">SVDTRLanczosGetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCyclicSetEPS.html">SVDCyclicSetEPS</A></TD>
<TD WIDTH=250><A HREF="./SVDPRIMMESetBlockSize.html">SVDPRIMMESetBlockSize</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetOneSide.html">SVDTRLanczosGetOneSide</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDCyclicSetExplicitMatrix.html">SVDCyclicSetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./SVDPRIMMESetMethod.html">SVDPRIMMESetMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetRestart.html">SVDTRLanczosGetRestart</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetBV.html">SVDGetBV</A></TD>
<TD WIDTH=250><A HREF="./SVDRegister.html">SVDRegister</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosGetScale.html">SVDTRLanczosGetScale</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetDS.html">SVDGetDS</A></TD>
<TD WIDTH=250><A HREF="./SVDRegisterAll.html">SVDRegisterAll</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetExplicitMatrix.html">SVDTRLanczosSetExplicitMatrix</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetImplicitTranspose.html">SVDGetImplicitTranspose</A></TD>
<TD WIDTH=250><A HREF="./SVDReset.html">SVDReset</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetGBidiag.html">SVDTRLanczosSetGBidiag</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetOptionsPrefix.html">SVDGetOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./SVDSetBV.html">SVDSetBV</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetKSP.html">SVDTRLanczosSetKSP</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetStoppingTest.html">SVDGetStoppingTest</A></TD>
<TD WIDTH=250><A HREF="./SVDSetConvergenceTestFunction.html">SVDSetConvergenceTestFunction</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetLocking.html">SVDTRLanczosSetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDKSVDEigenMethod.html">SVDKSVDEigenMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDSetDS.html">SVDSetDS</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetOneSide.html">SVDTRLanczosSetOneSide</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDKSVDGetEigenMethod.html">SVDKSVDGetEigenMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDSetImplicitTranspose.html">SVDSetImplicitTranspose</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetRestart.html">SVDTRLanczosSetRestart</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDKSVDGetPolarMethod.html">SVDKSVDGetPolarMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDSetOptionsPrefix.html">SVDSetOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./SVDTRLanczosSetScale.html">SVDTRLanczosSetScale</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDKSVDPolarMethod.html">SVDKSVDPolarMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDSetStoppingTest.html">SVDSetStoppingTest</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDKSVDSetEigenMethod.html">SVDKSVDSetEigenMethod</A></TD>
<TD WIDTH=250><A HREF="./SVDSetStoppingTestFunction.html">SVDSetStoppingTestFunction</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Developer - Interfaces intended primarily for library developers, not for typical applications programmers</B></TD></TR>
<TD WIDTH=250><A HREF="./SVDAllocateSolution.html">SVDAllocateSolution</A></TD>
<TD WIDTH=250><A HREF="./SVDInitializePackage.html">SVDInitializePackage</A></TD>
<TD WIDTH=250><A HREF="./SVDSetWorkVecs.html">SVDSetWorkVecs</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDConvergedReasonViewFromOptions.html">SVDConvergedReasonViewFromOptions</A></TD>
<TD WIDTH=250><A HREF="./SVDMonitorSetFromOptions.html">SVDMonitorSetFromOptions</A></TD>
<TD WIDTH=250><A HREF="./SVDValuesViewFromOptions.html">SVDValuesViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDErrorViewFromOptions.html">SVDErrorViewFromOptions</A></TD>
<TD WIDTH=250><A HREF="./SVDSetDSType.html">SVDSetDSType</A></TD>
<TD WIDTH=250><A HREF="./SVDVectorsViewFromOptions.html">SVDVectorsViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDFinalizePackage.html">SVDFinalizePackage</A></TD>
<TD WIDTH=250><A HREF="./SVDSetTrackAll.html">SVDSetTrackAll</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TD WIDTH=250><A HREF="./SVDGetTrackAll.html">SVDGetTrackAll</A></TD>
<TD WIDTH=250><A HREF="./SVDSetUp.html">SVDSetUp</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>No deprecated routines</B></TD></TR>
</TABLE>
<BR><A HREF="../../../docs/manual.html">Table of Contents</A>
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