# Material

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).

## Citing SLEPc

When referencing SLEPc in a publication, please cite one or more of the following (at least the first one).

If you use functionality from a specific SLEPc version, you can also cite reference [5] below.

Also, you can run the application code with all the options you usually use and the option `-citations slepc.bib`. This will generate a list of BibTeX references appropriate for that computation.

### General

[1] V. Hernandez, J. E. Roman, V. Vidal. _SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems._ ACM Trans. Math. Software, 31(3):351-362, 2005. <doi:10.1145/1089014.1089019>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[2] V. Hernandez, J. E. Roman, V. Vidal. _SLEPc: Scalable Library for Eigenvalue Problem Computations._ Lect. Notes Comp. Sci., vol. 2565, pages 377-391. Springer, 2003. <doi:10.1007/3-540-36569-9_25>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }

:::

[3] J. E. Roman, C. Campos, L. Dalcin, E. Romero, A. Tomas. SLEPc Users Manual. Tech. Rep. DSIC-II/24/02 - Revision 3.25, Universitat Polit&egrave;cnica de Val&egrave;ncia, 2026.

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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 3.25",
       institution = "D. Sistemes Inform\`atics i Computaci\'o, Universitat Polit\`ecnica de Val\`encia",
       year        = "2026"
}
:::


[4] V. Hernandez, J. E. Roman, A. Tomas. _Parallel Arnoldi eigensolvers with enhanced scalability via global communications rearrangement._ Parallel Comput., 33(7-8):521-540, 2007.  <doi:10.1016/j.parco.2007.04.004>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[5] J. E. Roman, F. Alvarruiz, C. Campos, L. Dalcin, P. Jolivet, A. Lamas Davi&ntilde;a. _Improvements to SLEPc in Releases 3.14-3.18._ ACM Trans. Math.  Software, 49(3), 2023. <doi:10.1145/3603373>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

### Using a Computational Interval

[6] C. Campos and J. E. Roman. _Strategies for spectrum slicing based on restarted Lanczos methods._ Numer. Algorithms, 62(2):279-295, 2012. <doi:10.1007/s11075-012-9564-z>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[7] C. Campos and J. E. Roman. _Inertia-based spectrum slicing for symmetric quadratic eigenvalue problems._ Numer. Linear Algebra Appl., 27(4):e2293, 2020. <doi:10.1002/nla.2293>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

### Davidson-type Eigensolvers

[8] E. Romero and J. E. Roman. _A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc._ ACM Trans. Math. Software, 40(2):13:1-13:29, 2014. <doi:10.1145/2543696>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[9] E. Romero and J. E. Roman. _Computing subdominant unstable modes of turbulent plasma with a parallel Jacobi-Davidson eigensolver._ Concurr.  Comp.-Pract. E., 23(17):2179-2191, 2011.  <doi:10.1002/cpe.1740>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

:::{seealso}
Reference [16] below (polynomial Jacobi-Davidson).
:::

### Structure-preserving Eigensolvers

[10] F. Alvarruiz, B. Mellado-Pinto, J. E. Roman. _Variants of thick-restart Lanczos for the Bethe-Salpeter eigenvalue problem._ arXiv:2503.20920, 2025. <doi:10.48550/arXiv.2503.20920>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

### SVD and GSVD

[11] V. Hernandez, J. E. Roman, A. Tomas. _A robust and efficient parallel SVD solver based on restarted Lanczos bidiagonalization._ Electron. Trans. Numer.  Anal., 31:68-85, 2008. [[URL]](https://etna.ricam.oeaw.ac.at/volumes/2001-2010/vol31/abstract.php?pages=68-85)

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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 {SVD} solver based on restarted {Lanczos} bidiagonalization",
      journal = "Electron. Trans. Numer. Anal.",
      volume  = "31",
      pages   = "68--85",
      year    = "2008"
    }
:::

[12] F. Alvarruiz, C. Campos, J. E. Roman. _Thick-restarted joint Lanczos bidiagonalization for the GSVD._ J. Comput. Appl. Math., 440:115506, 2024. <doi:10.1016/j.cam.2023.115506>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

### Polynomial Eigensolvers

[13] C. Campos and J. E. Roman. _Restarted Q-Arnoldi-type methods exploiting symmetry in quadratic eigenvalue problems._ BIT Numer. Math., 56(4):1213-1236, 2016. <doi:10.1007/s10543-016-0601-5>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[14] C. Campos and J. E. Roman. _Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc._ SIAM J. Sci. Comput., 38(5):S385-S411, 2016. <doi:10.1137/15M1022458>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[15] C. Campos and J. E. Roman. _Parallel iterative refinement in polynomial eigenvalue problems._ Numer. Linear Algebra Appl., 23(4):730-745, 2016. <doi:10.1002/nla.2052>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

[16] C. Campos and J. E. Roman. _A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation._ BIT Numer. Math., 60:295-318, 2020. <doi:10.1007/s10543-019-00778-z>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @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"
    }
:::

:::{seealso}
Reference [7] above (computational interval in quadratic eigenproblems).
:::

### General Nonlinear Eigensolvers

[17] C. Campos and J. E. Roman. _NEP: a module for the parallel solution of nonlinear eigenvalue problems in SLEPc._ ACM Trans. Math. Software, 47(3):23:1-23:29, 2021. <doi:10.1145/3447544>

:::{admonition} BibTeX
:class: dropdown admonition-bibtex

    @Article{Campos:2019:NEP,
      author  = "C. Campos and J. E. Roman",
      title   = "{NEP}: 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"
    }
:::

### Technical Reports

For referencing any of the [SLEPc Technical Reports](#str), use the following template:

    @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"
    }

```{toctree}
:maxdepth: 2
:hidden:

applications
software
```
