Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
Košir, Tomaž; Plestenjak, Bor On the singular two-parameter eigenvalue problem. II. (English) Zbl 1492.15007 Linear Algebra Appl. 649, 433-451 (2022). MSC: 15A18 15A21 15A22 15A69 65F15 PDFBibTeX XMLCite \textit{T. Košir} and \textit{B. Plestenjak}, Linear Algebra Appl. 649, 433--451 (2022; Zbl 1492.15007) Full Text: DOI
Hochstenbach, Michiel E.; Plestenjak, Bor Computing several eigenvalues of nonlinear eigenvalue problems by selection. (English) Zbl 1439.65045 Calcolo 57, No. 2, Paper No. 16, 25 p. (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 65F50 65H17 15A18 15A69 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Calcolo 57, No. 2, Paper No. 16, 25 p. (2020; Zbl 1439.65045) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems by a rank-completing perturbation. (English) Zbl 1435.65056 SIAM J. Matrix Anal. Appl. 40, No. 3, 1022-1046 (2019). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Buckley, Anita; Plestenjak, Bor Explicit determinantal representations of up to quintic bivariate polynomials. (English) Zbl 1401.65035 Linear Multilinear Algebra 66, No. 11, 2266-2285 (2018). MSC: 65F15 65H04 65F50 13P15 14M12 14Q05 PDFBibTeX XMLCite \textit{A. Buckley} and \textit{B. Plestenjak}, Linear Multilinear Algebra 66, No. 11, 2266--2285 (2018; Zbl 1401.65035) Full Text: DOI arXiv
Plestenjak, Bor Minimal determinantal representations of bivariate polynomials. (English) Zbl 1372.65111 Linear Algebra Appl. 532, 550-569 (2017). MSC: 65F15 65H04 65F50 13P15 PDFBibTeX XMLCite \textit{B. Plestenjak}, Linear Algebra Appl. 532, 550--569 (2017; Zbl 1372.65111) Full Text: DOI arXiv
Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor Uniform determinantal representations. (English) Zbl 1387.13062 SIAM J. Appl. Algebra Geom. 1, No. 1, 415-441 (2017). Reviewer: Emanuele Ventura (College Station) MSC: 13P15 65H04 65F15 65F50 PDFBibTeX XMLCite \textit{A. Boralevi} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 415--441 (2017; Zbl 1387.13062) Full Text: DOI arXiv
Plestenjak, Bor Numerical methods for nonlinear two-parameter eigenvalue problems. (English) Zbl 1342.65116 BIT 56, No. 1, 241-262 (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{B. Plestenjak}, BIT 56, No. 1, 241--262 (2016; Zbl 1342.65116) Full Text: DOI
Plestenjak, Bor; Hochstenbach, Michiel E. Roots of bivariate polynomial systems via determinantal representations. (English) Zbl 1376.65056 SIAM J. Sci. Comput. 38, No. 2, A765-A788 (2016). MSC: 65F15 65H10 65F50 13P15 PDFBibTeX XMLCite \textit{B. Plestenjak} and \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 38, No. 2, A765--A788 (2016; Zbl 1376.65056) Full Text: DOI arXiv
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. (English) Zbl 1349.65655 J. Comput. Phys. 298, 585-601 (2015). MSC: 65N35 65N25 35J05 PDFBibTeX XMLCite \textit{B. Plestenjak} et al., J. Comput. Phys. 298, 585--601 (2015; Zbl 1349.65655) Full Text: DOI Link
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. (English) Zbl 1503.65075 J. Comput. Appl. Math. 288, 251-263 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 288, 251--263 (2015; Zbl 1503.65075) Full Text: DOI
Muhič, Andrej; Plestenjak, Bor A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. (English) Zbl 1292.65039 Linear Algebra Appl. 440, 345-359 (2014). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{A. Muhič} and \textit{B. Plestenjak}, Linear Algebra Appl. 440, 345--359 (2014; Zbl 1292.65039) Full Text: DOI
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J. Spectral collocation solutions to multiparameter Mathieu’s system. (English) Zbl 1280.65078 Appl. Math. Comput. 218, No. 24, 11990-12000 (2012). MSC: 65L15 34L16 34B30 65L60 65L20 PDFBibTeX XMLCite \textit{C. I. Gheorghiu} et al., Appl. Math. Comput. 218, No. 24, 11990--12000 (2012; Zbl 1280.65078) Full Text: DOI Link
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor On linearizations of the quadratic two-parameter eigenvalue problem. (English) Zbl 1245.65042 Linear Algebra Appl. 436, No. 8, 2725-2743 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Linear Algebra Appl. 436, No. 8, 2725--2743 (2012; Zbl 1245.65042) Full Text: DOI
Muhič, Andrej; Plestenjak, Bor On the quadratic two-parameter eigenvalue problem and its linearization. (English) Zbl 1189.65070 Linear Algebra Appl. 432, No. 10, 2529-2542 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 PDFBibTeX XMLCite \textit{A. Muhič} and \textit{B. Plestenjak}, Linear Algebra Appl. 432, No. 10, 2529--2542 (2010; Zbl 1189.65070) Full Text: DOI