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 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Calcolo 57, No. 2, Paper No. 16, 25 p. (2020; Zbl 1439.65045) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor Subspace methods for three-parameter eigenvalue problems. (English) Zbl 07088866 Numer. Linear Algebra Appl. 26, No. 4, e2240, 22 p. (2019). MSC: 65F15 15A24 15A69 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} et al., Numer. Linear Algebra Appl. 26, No. 4, e2240, 22 p. (2019; Zbl 07088866) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Buckley} and \textit{B. Plestenjak}, Linear Multilinear Algebra 66, No. 11, 2266--2285 (2018; Zbl 1401.65035) Full Text: DOI
Plestenjak, Bor Minimal determinantal representations of bivariate polynomials. (English) Zbl 1372.65111 Linear Algebra Appl. 532, 550-569 (2017). MSC: 65F15 65H04 65F50 13P15 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{B. Plestenjak} et al., J. Comput. Phys. 298, 585--601 (2015; Zbl 1349.65655) Full Text: DOI
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 PDF BibTeX XML Cite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. (English) Zbl 06448790 J. Comput. Appl. Math. 288, 251-263 (2015). MSC: 65F15 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 288, 251--263 (2015; Zbl 06448790) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{C. I. Gheorghiu} et al., Appl. Math. Comput. 218, No. 24, 11990--12000 (2012; Zbl 1280.65078) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{A. Muhič} and \textit{B. Plestenjak}, Linear Algebra Appl. 432, No. 10, 2529--2542 (2010; Zbl 1189.65070) Full Text: DOI
Muhic, Andrej; Plestenjak, Bor On the singular two-parameter eigenvalue problem. (English) Zbl 1190.15011 Electron. J. Linear Algebra 18, 420-437 (2009). MSC: 15A18 65F15 PDF BibTeX XML Cite \textit{A. Muhic} and \textit{B. Plestenjak}, Electron. J. Linear Algebra 18, 420--437 (2009; Zbl 1190.15011) Full Text: DOI EMIS EuDML
Hochstenbach, Michiel E.; Plestenjak, Bor Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. (English) Zbl 1171.65378 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 81-96 (2008). MSC: 65F15 65F50 15A18 15A69 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, ETNA, Electron. Trans. Numer. Anal. 29, 81--96 (2008; Zbl 1171.65378) Full Text: EMIS EuDML
Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. (English) Zbl 1136.65043 Linear Algebra Appl. 428, No. 2-3, 586-599 (2008). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 PDF BibTeX XML Cite \textit{B. Plestenjak} et al., Linear Algebra Appl. 428, No. 2--3, 586--599 (2008; Zbl 1136.65043) Full Text: DOI
Plestenjak, Bor Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. (English) Zbl 1130.65055 SIAM J. Matrix Anal. Appl. 28, No. 4, 1157-1172 (2006). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F15 15A69 65F50 PDF BibTeX XML Cite \textit{B. Plestenjak}, SIAM J. Matrix Anal. Appl. 28, No. 4, 1157--1172 (2006; Zbl 1130.65055) Full Text: DOI
Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor A Jacobi–Davidson type method for the two-parameter eigenvalue problem. (English) Zbl 1077.65036 SIAM J. Matrix Anal. Appl. 26, No. 2, 477-497 (2005). MSC: 65F15 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 26, No. 2, 477--497 (2005; Zbl 1077.65036) Full Text: DOI
Plestenjak, Bor Numerical solution of the hyperbolic quadratic eigenvalue problem. (Slovenian. English summary) Zbl 1119.65324 Obz. Mat. Fiz. 51, No. 3, 65-78 (2004). MSC: 65F15 PDF BibTeX XML Cite \textit{B. Plestenjak}, Obz. Mat. Fiz. 51, No. 3, 65--78 (2004; Zbl 1119.65324)
Hochstenbach, Michiel E.; Plestenjak, Bor Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. (English) Zbl 1048.65034 Linear Algebra Appl. 375, 63-81 (2003). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F35 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Linear Algebra Appl. 375, 63--81 (2003; Zbl 1048.65034) Full Text: DOI
Bhattacharyya, Tirthankar; Košir, Tomaž; Plestenjak, Bor Right-definite multiparameter Sturm-Liouville problems with eigenparameter-dependent boundary conditions. (English) Zbl 1022.34009 Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 565-578 (2002). Reviewer: Amin Boumenir (Carrollton) MSC: 34B08 34B24 PDF BibTeX XML Cite \textit{T. Bhattacharyya} et al., Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 565--578 (2002; Zbl 1022.34009) Full Text: DOI
Hochstenbach, Michiel E.; Plestenjak, Bor A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. (English) Zbl 1025.65023 SIAM J. Matrix Anal. Appl. 24, No. 2, 392-410 (2002). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, SIAM J. Matrix Anal. Appl. 24, No. 2, 392--410 (2002; Zbl 1025.65023) Full Text: DOI
Košir, Tomaž; Plestenjak, Bor On stability of invariant subspaces of commuting matrices. (English) Zbl 0998.15012 Linear Algebra Appl. 342, No. 1-3, 133-147 (2002). Reviewer: Rafael Bru (Valencia) MSC: 15A18 15A27 PDF BibTeX XML Cite \textit{T. Košir} and \textit{B. Plestenjak}, Linear Algebra Appl. 342, No. 1--3, 133--147 (2002; Zbl 0998.15012) Full Text: DOI Link
Plestenjak, Bor; Batagelj, Vladimir Optimal arrangements of \(n\) points on a sphere and in a circle. (English) Zbl 1017.52013 Lenart, L. (ed.) et al., SOR ’01. Proceedings of the 6th international symposium on operational research in Slovenia, Preddvor, Slovenia, September 26-28, 2001. Ljubljana: Slovenian Society Informatika, Section for Operational Research. 83-88 (2001). MSC: 52C35 90B99 PDF BibTeX XML Cite \textit{B. Plestenjak} and \textit{V. Batagelj}, in: SOR '01. Proceedings of the 6th international symposium on operational research in Slovenia, Preddvor, Slovenia, September 26--28, 2001. Ljubljana: Slovenian Society Informatika, Section for Operational Research. 83--88 (2001; Zbl 1017.52013)
Plestenjak, Bor A continuation method for a weakly elliptic two-parameter eigenvalue problem. (English) Zbl 0976.65038 IMA J. Numer. Anal. 21, No. 1, 199-216 (2001). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 PDF BibTeX XML Cite \textit{B. Plestenjak}, IMA J. Numer. Anal. 21, No. 1, 199--216 (2001; Zbl 0976.65038) Full Text: DOI
Plestenjak, Bor A continuation method for a right definite two-parameter eigenvalue problem. (English) Zbl 0995.65036 SIAM J. Matrix Anal. Appl. 21, No. 4, 1163-1184 (2000). MSC: 65F15 65H20 65L15 34L16 PDF BibTeX XML Cite \textit{B. Plestenjak}, SIAM J. Matrix Anal. Appl. 21, No. 4, 1163--1184 (2000; Zbl 0995.65036) Full Text: DOI
Plestenjak, Bor A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. (English) Zbl 0936.65041 Linear Algebra Appl. 285, No. 1-3, 257-276 (1998). MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{B. Plestenjak}, Linear Algebra Appl. 285, No. 1--3, 257--276 (1998; Zbl 0936.65041) Full Text: DOI
Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante The minimal non-fullerene Voronoi polyhedra. (English) Zbl 0846.05089 Match 33, 157-168 (1996). MSC: 05C90 52B99 68U05 PDF BibTeX XML Cite \textit{B. Plestenjak} et al., Match 33, 157--168 (1996; Zbl 0846.05089)