Document Zbl 1480.65075

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Ind. Appl. Math.</a> <a href="/?q=in%3A474974" title="Articles in this Issue">39, No. 1, 145-163 (2022)</a>. </div> <div class="abstract">Summary: We present a new iteration method, namely symmetric positive definite and negative stable splitting (SNSS) method for solving complex symmetric indefinite linear systems. Theoretical analysis shows that the proposed method is convergent under suitable conditions. In each iteration of the method two subsystems should be solved. One of them can be solved inexactly using the conjugate gradient method, and the second one by the Chebyshev acceleration method in conjunction with the well-known PRESB preconditioner. Numerical experiments are reported to indicate efficiency of the SNSS method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7461764">Cited in <strong>5</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65F10" title="MSC2020">65F10</a> </td> <td class="space"> Iterative numerical methods for linear systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65F50" title="MSC2020">65F50</a> </td> <td class="space"> Computational methods for sparse matrices </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65F08" title="MSC2020">65F08</a> </td> <td class="space"> Preconditioners for iterative methods </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Acomplex+linear+systems">complex linear systems</a>; <a href="/?q=ut%3Asymmetric+matrices">symmetric matrices</a>; <a href="/?q=ut%3Asymmetric+positive+definite">symmetric positive definite</a>; <a href="/?q=ut%3Anegative+stable">negative stable</a>; <a href="/?q=ut%3Aindefinite+problem">indefinite problem</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1480.65075" data-ciurl="/ci/07461764" data-biburl="/bibtex/07461764.bib" data-amsurl="/amsrefs/07461764.bib" data-xmlurl="/xml/07461764.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07461764.pdf" title="Zbl 1480.65075 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13160-021-00479-7" aria-label="DOI for “A new two-parameter iteration method for indefinite complex symmetric linear systems”" title="10.1007/s13160-021-00479-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X., Numerical and computational efficiency of solvers for two-phase problems, Comput. 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