Document Zbl 1517.65024

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Ind. Appl. Math.</a> <a href="/?q=in%3A498598" title="Articles in this Issue">40, No. 2, 1125-1157 (2023)</a>. </div> <div class="abstract">Summary: In this work, we first apply the parameter accelerating strategy to the double-step scale splitting (DSS) real-valued algorithm one derived by <span class="zbmathjax-textit">J. Zhang</span> et al. [Appl. Math. Comput. 353, 338–346 (2019; <a href="/1429.65073">Zbl 1429.65073</a>)] and establish a two-parameter DSS real-valued (TDSS) iterative method for solving the large sparse complex symmetric linear systems. Furthermore, we explore the convergence conditions of this method. Moreover, we derive the optimal parameters which minimize an upper bound of the spectral radius of the iteration matrix for the TDSS iterative method. In addition, by utilizing the latest information of the TDSS iterative scheme, we deduce an improved TDSS (ITDSS) iterative method and analyze its convergence properties. At last, the correctness of the theories and the advantages of the ITDSS iterative method over some existing ones are verified by three numerical experiments.</div> <div class="clear"></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%3A15A06" title="MSC2020">15A06</a> </td> <td class="space"> Linear equations (linear algebraic aspects) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Acomplex+symmetric+linear+system">complex symmetric linear system</a>; <a href="/?q=ut%3Aiterative+method">iterative method</a></div><div class="keywords"> <h3>Citations:</h3><a href="/1429.65073">Zbl 1429.65073</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 1517.65024" data-ciurl="/ci/07703464" data-biburl="/bibtex/07703464.bib" data-amsurl="/amsrefs/07703464.bib" data-xmlurl="/xml/07703464.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07703464.pdf" title="Zbl 1517.65024 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/s13160-023-00569-8" aria-label="DOI for “Two-parameter double-step scale splitting real-valued iterative method for solving complex symmetric linear systems”" title="10.1007/s13160-023-00569-8">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">Feriani, A.; Perotti, F.; Simoncini, V., Iterative system solvers for the frequency analysis of linear mechanical systems, Comput. 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