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<section class="tex2jax_ignore mathjax_ignore" id="material">
<h1>Material<a class="headerlink" href="#material" title="Link to this heading">#</a></h1>
<p>This section provides information on how to cite SLEPc, as well as a list of citations from papers and software (see items on the left menu).</p>
<section id="citing-slepc">
<h2>Citing SLEPc<a class="headerlink" href="#citing-slepc" title="Link to this heading">#</a></h2>
<p>When referencing SLEPc in a publication, please cite one or more of the following (at least the first one).</p>
<p>If you use functionality from a specific SLEPc version, you can also cite reference [5] below.</p>
<p>Also, you can run the application code with all the options you usually use and the option <code class="docutils notranslate"><span class="pre">-citations</span> <span class="pre">slepc.bib</span></code>. This will generate a list of BibTeX references appropriate for that computation.</p>
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<h3>General<a class="headerlink" href="#general" title="Link to this heading">#</a></h3>
<p>[1] V. Hernandez, J. E. Roman, V. Vidal. <em>SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems.</em> ACM Trans. Math. Software, 31(3):351-362, 2005. <a class="reference external" href="https://doi.org/10.1145/1089014.1089019" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Hernandez:2005:SSF,
author = "Vicente Hernandez and Jose E. Roman and Vicente Vidal",
title = "{SLEPc}: A scalable and flexible toolkit for the solution of eigenvalue problems",
journal = "ACM Trans. Math. Software",
volume = "31",
number = "3",
pages = "351--362",
year = "2005"
}
</pre></div>
</div>
</div>
<p>[2] V. Hernandez, J. E. Roman, V. Vidal. <em>SLEPc: Scalable Library for Eigenvalue Problem Computations.</em> Lect. Notes Comp. Sci., vol. 2565, pages 377-391. Springer, 2003. <a class="reference external" href="https://doi.org/10.1007/3-540-36569-9_25" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Hernandez:2003:SSL,
author = "V. Hernandez and J. E. Roman and V. Vidal",
title = "{SLEPc}: {Scalable} {Library} for {Eigenvalue} {Problem} {Computations}",
journal = "Lect. Notes Comput. Sci.",
volume = "2565",
pages = "377--391",
year = "2003"
}
</pre></div>
</div>
</div>
<p>[3] J. E. Roman, C. Campos, L. Dalcin, E. Romero, A. Tomas. SLEPc Users Manual. Tech. Rep. DSIC-II/24/02 - Revision 3.24, Universitat Politècnica de València, 2025.</p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@TechReport{slepc-users-manual,
author = "J. E. Roman and C. Campos and L. Dalcin and E. Romero and A. Tomas",
title = "{SLEPc} Users Manual",
number = "DSIC-II/24/02 - Revision 3.24",
institution = "D. Sistemes Inform\`atics i Computaci\'o, Universitat Polit\`ecnica de Val\`encia",
year = "2025"
</pre></div>
</div>
<p>}</p>
</div>
<p>[4] V. Hernandez, J. E. Roman, A. Tomas. <em>Parallel Arnoldi eigensolvers with enhanced scalability via global communications rearrangement.</em> Parallel Comput., 33(7-8):521-540, 2007. <a class="reference external" href="https://doi.org/10.1016/j.parco.2007.04.004" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Hernandez:2007:PAE,
author = "V. Hern{\'a}ndez and J. E. Rom{\'a}n and A. Tom{\'a}s",
title = "Parallel {Arnoldi} eigensolvers with enhanced scalability via global communications rearrangement",
journal = "Parallel Comput.",
volume = "33",
number = "7-8",
pages = "521--540",
year = "2007"
}
</pre></div>
</div>
</div>
<p>[5] J. E. Roman, F. Alvarruiz, C. Campos, L. Dalcin, P. Jolivet, A. Lamas Daviña. <em>Improvements to SLEPc in Releases 3.14-3.18.</em> ACM Trans. Math. Software, 49(3), 2023. <a class="reference external" href="https://doi.org/10.1145/3603373" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Roman:2023:ISR,
author = "J. E. Roman and F. Alvarruiz and C. Campos and L. Dalcin and P. Jolivet and Lamas Davi{\~n}a, A.",
title = "Improvements to {SLEPc} in releases 3.14{\textendash}3.18",
journal = "ACM Trans. Math. Software",
volume = "49",
number = "3",
pages = "29:1--29:11",
year = "2023"
}
</pre></div>
</div>
</div>
</section>
<section id="using-a-computational-interval">
<h3>Using a Computational Interval<a class="headerlink" href="#using-a-computational-interval" title="Link to this heading">#</a></h3>
<p>[6] C. Campos and J. E. Roman. <em>Strategies for spectrum slicing based on restarted Lanczos methods.</em> Numer. Algorithms, 62(2):279-295, 2012. <a class="reference external" href="https://doi.org/10.1007/s11075-012-9564-z" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2012:SSS,
author = "C. Campos and J. E. Roman",
title = "Strategies for spectrum slicing based on restarted {Lanczos} methods",
journal = "Numer. Algorithms",
volume = "60",
number = "2",
pages = "279--295",
year = "2012"
}
</pre></div>
</div>
</div>
<p>[7] C. Campos and J. E. Roman. <em>Inertia-based spectrum slicing for symmetric quadratic eigenvalue problems.</em> Numer. Linear Algebra Appl., 27(4):e2293, 2020. <a class="reference external" href="https://doi.org/10.1002/nla.2293" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2020:ISS,
author = "C. Campos and J. E. Roman",
title = "Inertia-based spectrum slicing for symmetric quadratic eigenvalue problems",
journal = "Numer. Linear Algebra Appl.",
volume = "27",
number = "4",
pages = "e2293",
year = "2020"
}
</pre></div>
</div>
</div>
</section>
<section id="davidson-type-eigensolvers">
<h3>Davidson-type Eigensolvers<a class="headerlink" href="#davidson-type-eigensolvers" title="Link to this heading">#</a></h3>
<p>[8] E. Romero and J. E. Roman. <em>A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc.</em> ACM Trans. Math. Software, 40(2):13:1-13:29, 2014. <a class="reference external" href="https://doi.org/10.1145/2543696" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Romero:2014:PID,
author = "E. Romero and J. E. Roman",
title = "A parallel implementation of {Davidson} methods for large-scale eigenvalue problems in {SLEPc}",
journal = "ACM Trans. Math. Software",
volume = "40",
number = "2",
pages = "13:1--13:29",
year = "2014"
}
</pre></div>
</div>
</div>
<p>[9] E. Romero and J. E. Roman. <em>Computing subdominant unstable modes of turbulent plasma with a parallel Jacobi-Davidson eigensolver.</em> Concurr. Comp.-Pract. E., 23(17):2179-2191, 2011. <a class="reference external" href="https://doi.org/10.1002/cpe.1740" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Romero:2011:CSU,
author = "E. Romero and J. E. Roman",
title = "Computing subdominant unstable modes of turbulent plasma with a parallel {Jacobi-Davidson} eigensolver",
journal = "Concurr. Comp.-Pract. E.",
volume = "23",
number = "17",
pages = "2179--2191",
year = "2011"
}
</pre></div>
</div>
</div>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<p>Reference [16] below (polynomial Jacobi-Davidson).</p>
</div>
</section>
<section id="structure-preserving-eigensolvers">
<h3>Structure-preserving Eigensolvers<a class="headerlink" href="#structure-preserving-eigensolvers" title="Link to this heading">#</a></h3>
<p>[10] F. Alvarruiz, B. Mellado-Pinto, J. E. Roman. <em>Variants of thick-restart Lanczos for the Bethe-Salpeter eigenvalue problem.</em> arXiv:2503.20920, 2025. <a class="reference external" href="https://doi.org/10.48550/arXiv.2503.20920" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Alvarruiz:2025:VTR,
author = "F. Alvarruiz and B. Mellado-Pinto and J. E. Roman",
title = "Variants of thick-restart {Lanczos} for the {Bethe-Salpeter} eigenvalue problem",
journal = "arXiv",
volume = "2503.20920",
year = "2025"
}
</pre></div>
</div>
</div>
</section>
<section id="svd-and-gsvd">
<h3>SVD and GSVD<a class="headerlink" href="#svd-and-gsvd" title="Link to this heading">#</a></h3>
<p>[11] V. Hernandez, J. E. Roman, A. Tomas. <em>A robust and efficient parallel SVD solver based on restarted Lanczos bidiagonalization.</em> Electron. Trans. Numer. Anal., 31:68-85, 2008. <a class="reference external" href="https://etna.ricam.oeaw.ac.at/volumes/2001-2010/vol31/abstract.php?pages=68-85" target="_blank">[URL]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Hernandez:2008:REP,
author = "V. Hern{\'a}ndez and J. E. Rom{\'a}n and A. Tom{\'a}s",
title = "A robust and efficient parallel {<a href="../manualpages/SVD/SVD.html">SVD</a>} solver based on restarted {Lanczos} bidiagonalization",
journal = "Electron. Trans. Numer. Anal.",
volume = "31",
pages = "68--85",
year = "2008"
}
</pre></div>
</div>
</div>
<p>[12] F. Alvarruiz, C. Campos, J. E. Roman. <em>Thick-restarted joint Lanczos bidiagonalization for the GSVD.</em> J. Comput. Appl. Math., 440:115506, 2024. <a class="reference external" href="https://doi.org/10.1016/j.cam.2023.115506" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Alvarruiz:2024:TJL,
author = "F. Alvarruiz and C. Campos and J. E. Roman",
title = "Thick-restarted joint {Lanczos} bidiagonalization for the {GSVD}",
journal = "J. Comput. Appl. Math.",
volume = "440",
pages = "115506",
year = "2024"
}
</pre></div>
</div>
</div>
</section>
<section id="polynomial-eigensolvers">
<h3>Polynomial Eigensolvers<a class="headerlink" href="#polynomial-eigensolvers" title="Link to this heading">#</a></h3>
<p>[13] C. Campos and J. E. Roman. <em>Restarted Q-Arnoldi-type methods exploiting symmetry in quadratic eigenvalue problems.</em> BIT Numer. Math., 56(4):1213-1236, 2016. <a class="reference external" href="https://doi.org/10.1007/s10543-016-0601-5" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2016:RQM,
author = "C. Campos and J. E. Roman",
title = "Restarted {Q-Arnoldi-type} methods exploiting symmetry in quadratic eigenvalue problems",
journal = "BIT Numer. Math.",
volume = "56",
number = "4",
pages = "1213--1236",
year = "2016"
}
</pre></div>
</div>
</div>
<p>[14] C. Campos and J. E. Roman. <em>Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc.</em> SIAM J. Sci. Comput., 38(5):S385-S411, 2016. <a class="reference external" href="https://doi.org/10.1137/15M1022458" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2016:PKS,
author = "C. Campos and J. E. Roman",
title = "Parallel {Krylov} solvers for the polynomial eigenvalue problem in {SLEPc}",
journal = "SIAM J. Sci. Comput.",
volume = "38",
number = "5",
pages = "S385--S411",
year = "2016"
}
</pre></div>
</div>
</div>
<p>[15] C. Campos and J. E. Roman. <em>Parallel iterative refinement in polynomial eigenvalue problems.</em> Numer. Linear Algebra Appl., 23(4):730-745, 2016. <a class="reference external" href="https://doi.org/10.1002/nla.2052" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2016:PIR,
author = "C. Campos and J. E. Roman",
title = "Parallel iterative refinement in polynomial eigenvalue problems",
journal = "Numer. Linear Algebra Appl.",
volume = "23",
number = "4",
pages = "730--745",
year = "2016"
}
</pre></div>
</div>
</div>
<p>[16] C. Campos and J. E. Roman. <em>A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation.</em> BIT Numer. Math., 60:295-318, 2020. <a class="reference external" href="https://doi.org/10.1007/s10543-019-00778-z" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2020:PJD,
author = "C. Campos and J. E. Roman",
title = "A polynomial {Jacobi-Davidson} solver with support for non-monomial bases and deflation",
journal = "BIT Numer. Math.",
volume = "60",
pages = "295--318",
year = "2020"
}
</pre></div>
</div>
</div>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<p>Reference [7] above (computational interval in quadratic eigenproblems).</p>
</div>
</section>
<section id="general-nonlinear-eigensolvers">
<h3>General Nonlinear Eigensolvers<a class="headerlink" href="#general-nonlinear-eigensolvers" title="Link to this heading">#</a></h3>
<p>[17] C. Campos and J. E. Roman. <em>NEP: a module for the parallel solution of nonlinear eigenvalue problems in SLEPc.</em> ACM Trans. Math. Software, 47(3):23:1-23:29, 2021. <a class="reference external" href="https://doi.org/10.1145/3447544" target="_blank">[DOI]</a></p>
<div class="dropdown admonition-bibtex admonition">
<p class="admonition-title">BibTeX</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@Article{Campos:2019:<a href="../manualpages/NEP/NEP.html">NEP</a>,
author = "C. Campos and J. E. Roman",
title = "{<a href="../manualpages/NEP/NEP.html">NEP</a>}: a module for the parallel solution of nonlinear eigenvalue problems in {SLEPc}",
journal = "ACM Trans. Math. Software",
volume = "47",
number = "3",
pages = "23:1--23:29",
year = "2021"
}
</pre></div>
</div>
</div>
</section>
<section id="technical-reports">
<h3>Technical Reports<a class="headerlink" href="#technical-reports" title="Link to this heading">#</a></h3>
<p>For referencing any of the <a class="reference internal" href="../documentation/index.html#str"><span class="std std-ref">SLEPc Technical Reports</span></a>, use the following template:</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>@TechReport{str-6,
author = "V. Hernandez and J. E. Roman and A. Tomas and V. Vidal",
title = "A survey of software for sparse eigenvalue problems",
number = "STR-6",
institution = "Universitat Polit\`ecnica de Val\`encia",
note = "Available at <https://slepc.upv.es>",
year = "2009"
}
</pre></div>
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