Edit Profile (opens in new tab) Plestenjak, Bor Co-Author Distance Author ID: plestenjak.bor Published as: Plestenjak, Bor; Plestenjak, B. External Links: MGP · ORCID · Wikidata Documents Indexed: 32 Publications since 1996 Co-Authors: 18 Co-Authors with 25 Joint Publications 527 Co-Co-Authors all top 5 Co-Authors 7 single-authored 14 Hochstenbach, Michiel E. 5 Muhič, Andrej 4 Košir, Tomaž 2 Gheorghiu, Călin Ioan 2 Meerbergen, Karl 2 Mehl, Christian 1 Batagelj, Vladimir 1 Bhattacharyya, Tirthankar 1 Boralevi, Ada 1 Buckley, Anita 1 Draisma, Jan 1 Graovac, Ante 1 Mengi, Emre 1 Pisanski, Tomaž 1 Rommes, Joost 1 Van Barel, Marc 1 Van Camp, Ellen 1 van Doornmalen, Jasper all top 5 Serials 9 Linear Algebra and its Applications 6 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Obzornik za Matematiko in Fiziko 1 Applied Mathematics and Computation 1 BIT 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Match 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 ELA. The Electronic Journal of Linear Algebra 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 28 Numerical analysis (65-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 4 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 202 times in 78 Documents Cited by ▼ Year ▼ A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor 29 2005 On the singular two-parameter eigenvalue problem. Zbl 1190.15011Muhic, Andrej; Plestenjak, Bor 17 2009 On the quadratic two-parameter eigenvalue problem and its linearization. Zbl 1189.65070Muhič, Andrej; Plestenjak, Bor 15 2010 On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor 14 2012 A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023Hochstenbach, Michiel E.; Plestenjak, Bor 13 2002 A continuation method for a right definite two-parameter eigenvalue problem. Zbl 0995.65036Plestenjak, Bor 12 2000 Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034Hochstenbach, Michiel E.; Plestenjak, Bor 11 2003 Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378Hochstenbach, Michiel E.; Plestenjak, Bor 10 2008 A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122Meerbergen, Karl; Plestenjak, Bor 7 2015 Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor 7 2019 Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J. 6 2012 Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056Plestenjak, Bor; Hochstenbach, Michiel E. 6 2016 Uniform determinantal representations. Zbl 1387.13062Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor 5 2017 Numerical methods for nonlinear two-parameter eigenvalue problems. Zbl 1342.65116Plestenjak, Bor 5 2016 Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 1503.65075Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor 5 2015 Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. 5 2015 A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. Zbl 1292.65039Muhič, Andrej; Plestenjak, Bor 5 2014 Minimal determinantal representations of bivariate polynomials. Zbl 1372.65111Plestenjak, Bor 4 2017 Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor 4 2019 Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. Zbl 1130.65055Plestenjak, Bor 4 2006 Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045Hochstenbach, Michiel E.; Plestenjak, Bor 3 2020 On stability of invariant subspaces of commuting matrices. Zbl 0998.15012Košir, Tomaž; Plestenjak, Bor 3 2002 A continuation method for a weakly elliptic two-parameter eigenvalue problem. Zbl 0976.65038Plestenjak, Bor 3 2001 A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. Zbl 0936.65041Plestenjak, Bor 3 1998 Explicit determinantal representations of up to quintic bivariate polynomials. Zbl 1401.65035Buckley, Anita; Plestenjak, Bor 2 2018 The minimal non-fullerene Voronoi polyhedra. Zbl 0846.05089Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante 1 1996 On the singular two-parameter eigenvalue problem. II. Zbl 1492.15007Košir, Tomaž; Plestenjak, Bor 1 2022 A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen 1 2008 Optimal arrangements of \(n\) points on a sphere and in a circle. Zbl 1017.52013Plestenjak, Bor; Batagelj, Vladimir 1 2001 On the singular two-parameter eigenvalue problem. II. Zbl 1492.15007Košir, Tomaž; Plestenjak, Bor 1 2022 Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045Hochstenbach, Michiel E.; Plestenjak, Bor 3 2020 Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor 7 2019 Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor 4 2019 Explicit determinantal representations of up to quintic bivariate polynomials. Zbl 1401.65035Buckley, Anita; Plestenjak, Bor 2 2018 Uniform determinantal representations. Zbl 1387.13062Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor 5 2017 Minimal determinantal representations of bivariate polynomials. Zbl 1372.65111Plestenjak, Bor 4 2017 Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056Plestenjak, Bor; Hochstenbach, Michiel E. 6 2016 Numerical methods for nonlinear two-parameter eigenvalue problems. Zbl 1342.65116Plestenjak, Bor 5 2016 A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122Meerbergen, Karl; Plestenjak, Bor 7 2015 Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 1503.65075Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor 5 2015 Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. 5 2015 A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. Zbl 1292.65039Muhič, Andrej; Plestenjak, Bor 5 2014 On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor 14 2012 Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J. 6 2012 On the quadratic two-parameter eigenvalue problem and its linearization. Zbl 1189.65070Muhič, Andrej; Plestenjak, Bor 15 2010 On the singular two-parameter eigenvalue problem. Zbl 1190.15011Muhic, Andrej; Plestenjak, Bor 17 2009 Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378Hochstenbach, Michiel E.; Plestenjak, Bor 10 2008 A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen 1 2008 Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. Zbl 1130.65055Plestenjak, Bor 4 2006 A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor 29 2005 Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034Hochstenbach, Michiel E.; Plestenjak, Bor 11 2003 A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023Hochstenbach, Michiel E.; Plestenjak, Bor 13 2002 On stability of invariant subspaces of commuting matrices. Zbl 0998.15012Košir, Tomaž; Plestenjak, Bor 3 2002 A continuation method for a weakly elliptic two-parameter eigenvalue problem. Zbl 0976.65038Plestenjak, Bor 3 2001 Optimal arrangements of \(n\) points on a sphere and in a circle. Zbl 1017.52013Plestenjak, Bor; Batagelj, Vladimir 1 2001 A continuation method for a right definite two-parameter eigenvalue problem. Zbl 0995.65036Plestenjak, Bor 12 2000 A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. Zbl 0936.65041Plestenjak, Bor 3 1998 The minimal non-fullerene Voronoi polyhedra. Zbl 0846.05089Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 124 Authors 18 Plestenjak, Bor 12 Hochstenbach, Michiel E. 4 Gheorghiu, Călin Ioan 4 Muhič, Andrej 4 Noferini, Vanni 3 Jarlebring, Elias 3 Košir, Tomaž 3 Meerbergen, Karl 3 Nakatsukasa, Yuji 2 Antoniou, Efstathios N. 2 Benner, Peter 2 De Moor, Bart L. R. 2 Dong, Bo 2 Gemignani, Luca 2 Gil’, Michael Iosif 2 Liu, Xinguo 2 Mehl, Christian 2 Vermeersch, Christof 2 Vologiannidis, Stavros 1 Abbas, Hassan 1 Abdelkawy, Mohamed A. 1 Adhikari, Bibhas 1 Alam, Rafikul 1 Amodio, Pierluigi 1 Amri, Amine 1 Arbenz, Peter 1 Attia, Luc 1 Baruah, Arun Kumar 1 Bender, Matías R. 1 Bevilacqua, Roberto 1 Bhrawy, Ali Hassan 1 Binding, Paul Anthony 1 Bini, Dario Andrea 1 Boiko, Andrey V. 1 Bora, Niranjan 1 Boralevi, Ada 1 Bouazizi, M. H. 1 Boucherif, Abdelkader 1 Brennan, Michael C. 1 Buckley, Anita 1 Cameron, Thomas R. 1 Chanane, Bilal 1 Chang, Chin-Chen 1 Chen, Xiaoping 1 Cheng, Shiu-Yuen 1 Claes, Rob 1 De Lathauwer, Lieven 1 Del Corso, Gianna M. 1 Demyanko, Kirill V. 1 Deza, Antoine 1 Deza, Michel Marie 1 Doha, Eid H. 1 Dopico, Froilán M. 1 Draisma, Jan 1 Du, Jin-Hong 1 Eisenmann, Henrik 1 Embree, Mark 1 Evert, Eric 1 Faßbender, Heike 1 Faugère, Jean-Charles 1 Ferreira, Carla 1 Ghosh, Arnab 1 Grishukhin, Vyacheslav Petrovich 1 Gugercin, Serkan 1 Guo, Hua 1 Hajarian, Masoud 1 Hsu, Chingfang 1 Iwata, Satoru 1 Kalinina, Elizabeth A. 1 Kressner, Daniel 1 Leben, Leslie 1 Li, Ma 1 Li, Rencang 1 Lim, Lek-Heng 1 Lin, Wen-Wei 1 Liu, Yining 1 Lotz, Martin 1 Lu, Song 1 Mach, Thomas 1 Mantzaflaris, Angelos 1 Martínez Pería, Francisco D. 1 Nechepurenko, Yuri M. 1 Nennig, Benoit 1 Notay, Yvan 1 Oliu-Barton, Miquel 1 Onwunta, Akwum 1 Oswald, Benedikt 1 Pan, Xiaoming 1 Parlett, Beresford Neill 1 Perrey-Debain, Emmanuel 1 Philipp, Friedrich 1 Puvača, Matea 1 Ringh, Emil 1 Rodman, Leiba X. 1 Rodriguez, Jose Israel 1 Rommes, Joost 1 Rump, Siegfried Michael 1 Salvi, Massimo 1 Schröder, Christian 1 Seeger, Alberto ...and 24 more Authors all top 5 Cited in 36 Serials 16 Linear Algebra and its Applications 8 SIAM Journal on Matrix Analysis and Applications 4 Applied Mathematics and Computation 3 Journal of Computational Physics 3 Numerische Mathematik 3 Journal of Scientific Computing 2 Linear and Multilinear Algebra 2 Multidimensional Systems and Signal Processing 2 Numerical Algorithms 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 2 GAMM-Mitteilungen 2 Complex Analysis and Operator Theory 2 SIAM Journal on Applied Algebra and Geometry 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Mathematics 1 International Journal of Control 1 BIT 1 Calcolo 1 Geometriae Dedicata 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematics of Operations Research 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 SIAM Review 1 SIAM Journal on Optimization 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 ELA. The Electronic Journal of Linear Algebra 1 Abstract and Applied Analysis 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Symmetry all top 5 Cited in 24 Fields 61 Numerical analysis (65-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 8 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 6 Commutative algebra (13-XX) 6 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.