Bor Plestenjak - Author Profile

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Plestenjak, Bor

Author ID:	plestenjak.bor
Published as:	Plestenjak, Bor; Plestenjak, B.
External Links:	MGP · ORCID · Wikidata

Documents Indexed:	38 Publications since 1996, including 4 Additional arXiv Preprints
Co-Authors:	23 Co-Authors with 31 Joint Publications
	766 Co-Co-Authors

all top 5

Co-Authors

7	single-authored
17	Hochstenbach, Michiel E.
5	Košir, Tomaž
5	Muhič, Andrej
4	Mehl, Christian
2	Gheorghiu, Călin Ioan
2	Kressner, Daniel
2	Meerbergen, Karl
1	Batagelj, Vladimir
1	Bhattacharyya, Tirthankar
1	Boralevi, Ada
1	Buckley, Anita
1	Draisma, Jan
1	Graovac, Ante
1	Gravenkamp, Hauke
1	He, Haoze
1	Jarlebring, Elias
1	Kiefer, Daniel A.
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
3	Numerical Linear Algebra with Applications
2	BIT
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	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

32	Numerical analysis (65-XX)
17	Linear and multilinear algebra; matrix theory (15-XX)
4	Commutative algebra (13-XX)
3	Ordinary differential equations (34-XX)
3	Operator theory (47-XX)
2	Convex and discrete geometry (52-XX)
2	Computer science (68-XX)
1	Combinatorics (05-XX)
1	Algebraic geometry (14-XX)
1	Partial differential equations (35-XX)
1	Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

31 Publications have been cited 254 times in 98 Documents	Cited by ▼	Year ▼
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036 Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor	34	2005
On the singular two-parameter eigenvalue problem. Zbl 1190.15011 Muhic, Andrej; Plestenjak, Bor	20	2009
On the quadratic two-parameter eigenvalue problem and its linearization. Zbl 1189.65070 Muhič, Andrej; Plestenjak, Bor	18	2010
A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023 Hochstenbach, Michiel E.; Plestenjak, Bor	17	2002
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042 Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor	16	2012
A continuation method for a right definite two-parameter eigenvalue problem. Zbl 0995.65036 Plestenjak, Bor	16	2000
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378 Hochstenbach, Michiel E.; Plestenjak, Bor	12	2008
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056 Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor	12	2019
A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122 Meerbergen, Karl; Plestenjak, Bor	12	2015
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034 Hochstenbach, Michiel E.; Plestenjak, Bor	11	2003
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078 Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.	7	2012
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655 Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.	7	2015
A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. Zbl 1292.65039 Muhič, Andrej; Plestenjak, Bor	7	2014
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071 Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor	7	2019
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 1503.65075 Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor	7	2015
Uniform determinantal representations. Zbl 1387.13062 Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor	7	2017
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056 Plestenjak, Bor; Hochstenbach, Michiel E.	6	2016
Numerical methods for nonlinear two-parameter eigenvalue problems. Zbl 1342.65116 Plestenjak, Bor	6	2016
Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. Zbl 1130.65055 Plestenjak, Bor	4	2006
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045 Hochstenbach, Michiel E.; Plestenjak, Bor	4	2020
Minimal determinantal representations of bivariate polynomials. Zbl 1372.65111 Plestenjak, Bor	4	2017
On stability of invariant subspaces of commuting matrices. Zbl 0998.15012 Košir, Tomaž; Plestenjak, Bor	3	2002
A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. Zbl 0936.65041 Plestenjak, Bor	3	1998
A continuation method for a weakly elliptic two-parameter eigenvalue problem. Zbl 0976.65038 Plestenjak, Bor	3	2001
Solving singular generalized eigenvalue problems. II: Projection and augmentation. Zbl 1526.65011 Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor	3	2023
On the singular two-parameter eigenvalue problem. II. Zbl 1492.15007 Košir, Tomaž; Plestenjak, Bor	2	2022
Explicit determinantal representations of up to quintic bivariate polynomials. Zbl 1401.65035 Buckley, Anita; Plestenjak, Bor	2	2018
A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043 Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen	1	2008
The minimal non-fullerene Voronoi polyhedra. Zbl 0846.05089 Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante	1	1996
Optimal arrangements of \(n\) points on a sphere and in a circle. Zbl 1017.52013 Plestenjak, Bor; Batagelj, Vladimir	1	2001
Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models. Zbl 07830563 Hochstenbach, Michiel E.; Košir, Tomaž; Plestenjak, Bor	1	2024
Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models. Zbl 07830563 Hochstenbach, Michiel E.; Košir, Tomaž; Plestenjak, Bor	1	2024
Solving singular generalized eigenvalue problems. II: Projection and augmentation. Zbl 1526.65011 Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor	3	2023
On the singular two-parameter eigenvalue problem. II. Zbl 1492.15007 Košir, Tomaž; Plestenjak, Bor	2	2022
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045 Hochstenbach, Michiel E.; Plestenjak, Bor	4	2020
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056 Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor	12	2019
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071 Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor	7	2019
Explicit determinantal representations of up to quintic bivariate polynomials. Zbl 1401.65035 Buckley, Anita; Plestenjak, Bor	2	2018
Uniform determinantal representations. Zbl 1387.13062 Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor	7	2017
Minimal determinantal representations of bivariate polynomials. Zbl 1372.65111 Plestenjak, Bor	4	2017
Roots of bivariate polynomial systems via determinantal representations. Zbl 1376.65056 Plestenjak, Bor; Hochstenbach, Michiel E.	6	2016
Numerical methods for nonlinear two-parameter eigenvalue problems. Zbl 1342.65116 Plestenjak, Bor	6	2016
A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122 Meerbergen, Karl; Plestenjak, Bor	12	2015
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. Zbl 1349.65655 Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E.	7	2015
Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. Zbl 1503.65075 Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor	7	2015
A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. Zbl 1292.65039 Muhič, Andrej; Plestenjak, Bor	7	2014
On linearizations of the quadratic two-parameter eigenvalue problem. Zbl 1245.65042 Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor	16	2012
Spectral collocation solutions to multiparameter Mathieu’s system. Zbl 1280.65078 Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J.	7	2012
On the quadratic two-parameter eigenvalue problem and its linearization. Zbl 1189.65070 Muhič, Andrej; Plestenjak, Bor	18	2010
On the singular two-parameter eigenvalue problem. Zbl 1190.15011 Muhic, Andrej; Plestenjak, Bor	20	2009
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. Zbl 1171.65378 Hochstenbach, Michiel E.; Plestenjak, Bor	12	2008
A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043 Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen	1	2008
Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. Zbl 1130.65055 Plestenjak, Bor	4	2006
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. Zbl 1077.65036 Hochstenbach, Michiel E.; Kosir, Tomaz; Plestenjak, Bor	34	2005
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. Zbl 1048.65034 Hochstenbach, Michiel E.; Plestenjak, Bor	11	2003
A Jacobi–Davidson type method for a right definite two-parameter eigenvalue problem. Zbl 1025.65023 Hochstenbach, Michiel E.; Plestenjak, Bor	17	2002
On stability of invariant subspaces of commuting matrices. Zbl 0998.15012 Košir, Tomaž; Plestenjak, Bor	3	2002
A continuation method for a weakly elliptic two-parameter eigenvalue problem. Zbl 0976.65038 Plestenjak, Bor	3	2001
Optimal arrangements of \(n\) points on a sphere and in a circle. Zbl 1017.52013 Plestenjak, Bor; Batagelj, Vladimir	1	2001
A continuation method for a right definite two-parameter eigenvalue problem. Zbl 0995.65036 Plestenjak, Bor	16	2000
A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. Zbl 0936.65041 Plestenjak, Bor	3	1998
The minimal non-fullerene Voronoi polyhedra. Zbl 0846.05089 Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante	1	1996

all cited Publications top 5 cited Publications

all top 5

Cited by 152 Authors

21	Plestenjak, Bor
14	Hochstenbach, Michiel E.
5	Meerbergen, Karl
5	Noferini, Vanni
4	Gheorghiu, Călin Ioan
4	Košir, Tomaž
4	Muhič, Andrej
3	Dopico, Froilán M.
3	Jarlebring, Elias
3	Kressner, Daniel
3	Nakatsukasa, Yuji
2	Antoniou, Efstathios N.
2	Benner, Peter
2	Bini, Dario Andrea
2	De Moor, Bart L. R.
2	de Terán, Fernando
2	Dmytryshyn, Andrii R.
2	Dong, Bo
2	Gemignani, Luca
2	Gil’, Michael Iosif
2	Hajarian, Masoud
2	Liu, Xinguo
2	Mehl, Christian
2	Vermeersch, Christof
2	Vologiannidis, Stavros
1	Abbas, Hassane
1	Abdalla, M. Sebawe
1	Abdelkawy, Mohamed A.
1	Adhikari, Bibhas
1	Ahmad, Sk. Kanhya
1	Alam, Rafikul
1	Alsubaie, Fawwaz F.
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	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	Crowe, Matthew N.
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	Draisma, Jan
1	Du, Jin-Hong
1	Eisenmann, Henrik
1	Eleuch, Hichem
1	Embree, Mark
1	Evert, Eric
1	Faßbender, Heike
1	Faugère, Jean-Charles
1	Ferreira, Carla
1	Ghosh, Arnab
1	Glibić, Ivana Šain
1	Grishukhin, Vyacheslav Petrovich
1	Gugercin, Serkan
1	Gungah, Satin K.
1	Guo, Hua
1	Gutschmidt, Stefanie
1	Hsu, Chingfang
1	Iannazzo, Bruno
1	Iwata, Satoru
1	Jaimoukha, Imad M.
1	Kalinina, Elizabeth A.
1	Kanhya, Prince
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	Lu, Tianyi
1	Mach, Thomas
1	Mantzaflaris, Angelos
1	Martínez Pería, Francisco D.
1	Meini, Beatrice
1	Meng, Jie
1	Mengi, Emre
1	Michiels, Wim
1	Nechepurenko, Yuri M.
...and 52 more Authors

all top 5

Cited in 43 Serials

17	Linear Algebra and its Applications
10	SIAM Journal on Matrix Analysis and Applications
6	Numerical Linear Algebra with Applications
4	Applied Mathematics and Computation
4	Numerische Mathematik
3	Journal of Computational Physics
3	BIT
3	Journal of Scientific Computing
3	Numerical Algorithms
3	Complex Analysis and Operator Theory
2	Linear and Multilinear Algebra
2	Multidimensional Systems and Signal Processing
2	SIAM Journal on Scientific Computing
2	ELA. The Electronic Journal of Linear Algebra
2	GAMM-Mitteilungen
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	Journal of Fluid Mechanics
1	Reports on Mathematical Physics
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	ETNA. Electronic Transactions on Numerical Analysis
1	Russian Journal of Numerical Analysis and Mathematical Modelling
1	Doklady Mathematics
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
1	Asian Journal of Control
1	International Journal of Structural Stability and Dynamics
1	Bollettino dell’Unione Matematica Italiana

all top 5

Cited in 25 Fields

72	Numerical analysis (65-XX)
49	Linear and multilinear algebra; matrix theory (15-XX)
10	Operator theory (47-XX)
8	Ordinary differential equations (34-XX)
7	Commutative algebra (13-XX)
6	Partial differential equations (35-XX)
4	Fluid mechanics (76-XX)
3	Algebraic geometry (14-XX)
3	Operations research, mathematical programming (90-XX)
3	Systems theory; control (93-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	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	Mechanics of deformable solids (74-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

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