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## Holtz, Olga

Compute Distance To:
 Author ID: holtz.olga Published as: Holtz, Olga; Holtz, O. V. Homepage: https://people.eecs.berkeley.edu/~oholtz/ External Links: MGP · Wikidata · dblp · GND Awards: EMS Prize (2008)
 Documents Indexed: 32 Publications since 1996 Reviewing Activity: 1 Review Biographic References: 1 Publication
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#### Co-Authors

 8 single-authored 8 Demmel, James Weldon 4 Ballard, Grey M. 4 Dumitriu, Ioana 4 Schwartz, Oded 3 Ron, Amos 3 Schneider, Hans 2 Khrushchev, Sergey 2 Mehrmann, Volker 2 Strauss, Vladimir Abramovich 2 Tyaglov, Mikhail 1 Bharali, Gautam 1 Derevyagin, Maxim S. 1 Faßbender, Heike 1 Griebel, Michael 1 Kleinberg, Robert D. 1 Koev, Plamen 1 Kushel, Olga Yur’evna 1 Lipshitz, Benjamin 1 Nazarov, Fedor L. 1 Peres, Yuval 1 Shomron, Noam 1 Stewart, Gilbert Wright 1 Sturmfels, Bernd 1 Xu, Zhiqiang 1 Zenger, Christoph
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#### Serials

 10 Linear Algebra and its Applications 2 Journal of Approximation Theory 2 Numerische Mathematik 2 SIAM Journal on Matrix Analysis and Applications 1 American Mathematical Monthly 1 Advances in Mathematics 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Constructive Approximation 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of the ACM 1 Computational Methods and Function Theory 1 Acta Numerica
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#### Fields

 17 Linear and multilinear algebra; matrix theory (15-XX) 8 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 282 times in 233 Documents Cited by Year
Minimizing communication in numerical linear algebra. Zbl 1246.68128
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2011
Hyperdeterminantal relations among symmetric principal minors. Zbl 1130.15005
Holtz, Olga; Sturmfels, Bernd
2007
Structured matrices, continued fractions, and root localization of polynomials. Zbl 1261.26001
Holtz, Olga; Tyaglov, Mikhail
2012
Zonotopal algebra. Zbl 1223.13010
Holtz, Olga; Ron, Amos
2011
Fast linear algebra is stable. Zbl 1133.65015
Demmel, James; Dumitriu, Ioana; Holtz, Olga
2007
Open problems on GKK $$\tau$$-matrices. Zbl 1160.15305
Holtz, Olga; Schneider, Hans
2002
Hermite-Biehler, Routh-Hurwitz, and total positivity. Zbl 1031.93136
Holtz, Olga
2003
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
2008
Evaluation of Sylvester type determinants using block-triangularization. Zbl 1090.15008
Holtz, Olga
2005
Potter, Wielandt, and Drazin on the matrix equation $$AB=\omega BA$$: new answers to old questions. Zbl 1187.15001
Holtz, Olga; Mehrmann, Volker; Schneider, Hans
2004
$$M$$-matrices satisfy Newton’s inequalities. Zbl 1067.15018
Holtz, Olga
2005
Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057
Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded
2012
Hierarchical zonotopal spaces. Zbl 1254.13024
Holtz, Olga; Ron, Amos; Xu, Zhiqiang
2012
Classification of normal operators in spaces with indefinite scalar product of rank 2. Zbl 0859.15010
Holtz, O. V.; Strauss, V. A.
1996
Fast matrix multiplication is stable. Zbl 1134.65030
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Kleinberg, Robert
2007
Approximation orders of shift-invariant subspaces of $$W_{2}^{s}(\mathbb R^d)$$. Zbl 1092.41010
Holtz, Olga; Ron, Amos
2005
The inverse eigenvalue problem for symmetric anti-bidiagonal matrices. Zbl 1080.15010
Holtz, Olga
2005
Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2012
On classification of normal operators in real spaces with indefinite scalar product. Zbl 0901.15016
Holtz, O. V.; Strauss, V. A.
1997
Szegő’s theorem for matrix orthogonal polynomials. Zbl 1276.33013
Derevyagin, Maxim; Holtz, Olga; Khrushchev, Sergey; Tyaglov, Mikhail
2012
Not all GKK $$\tau$$-matrices are stable. Zbl 0968.15014
Holtz, Olga
1999
Applications of the duality method to generalizations of the Jordan canonical form. Zbl 0999.15011
Holtz, Olga
2000
On indecomposable normal matrices in spaces with indefinite salar product. Zbl 0880.15034
Holtz, O. V.
1997
Functions preserving nonnegativity of matrices. Zbl 1158.15013
Bharali, Gautam; Holtz, Olga
2008
Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2010
Matrices that commute with their derivative. On a letter from Schur to Wielandt. Zbl 1260.15026
Holtz, Olga; Mehrmann, Volker; Schneider, Hans
2013
Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane. Zbl 1347.26033
Holtz, Olga; Khrushchev, Sergey; Kushel, Olga
2016
New coins from old, smoothly. Zbl 1238.41007
Holtz, Olga; Nazarov, Fedor; Peres, Yuval
2011
On convergence of infinite matrix products. Zbl 0964.15030
Holtz, Olga
2000
Toward accurate polynomial evaluation in rounded arithmetic. Zbl 1106.65308
Demmel, James; Dumitriu, Ioana; Holtz, Olga
2006
Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane. Zbl 1347.26033
Holtz, Olga; Khrushchev, Sergey; Kushel, Olga
2016
Matrices that commute with their derivative. On a letter from Schur to Wielandt. Zbl 1260.15026
Holtz, Olga; Mehrmann, Volker; Schneider, Hans
2013
Structured matrices, continued fractions, and root localization of polynomials. Zbl 1261.26001
Holtz, Olga; Tyaglov, Mikhail
2012
Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057
Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded
2012
Hierarchical zonotopal spaces. Zbl 1254.13024
Holtz, Olga; Ron, Amos; Xu, Zhiqiang
2012
Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2012
Szegő’s theorem for matrix orthogonal polynomials. Zbl 1276.33013
Derevyagin, Maxim; Holtz, Olga; Khrushchev, Sergey; Tyaglov, Mikhail
2012
Minimizing communication in numerical linear algebra. Zbl 1246.68128
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2011
Zonotopal algebra. Zbl 1223.13010
Holtz, Olga; Ron, Amos
2011
New coins from old, smoothly. Zbl 1238.41007
Holtz, Olga; Nazarov, Fedor; Peres, Yuval
2011
Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018
Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded
2010
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
2008
Functions preserving nonnegativity of matrices. Zbl 1158.15013
Bharali, Gautam; Holtz, Olga
2008
Hyperdeterminantal relations among symmetric principal minors. Zbl 1130.15005
Holtz, Olga; Sturmfels, Bernd
2007
Fast linear algebra is stable. Zbl 1133.65015
Demmel, James; Dumitriu, Ioana; Holtz, Olga
2007
Fast matrix multiplication is stable. Zbl 1134.65030
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Kleinberg, Robert
2007
Toward accurate polynomial evaluation in rounded arithmetic. Zbl 1106.65308
Demmel, James; Dumitriu, Ioana; Holtz, Olga
2006
Evaluation of Sylvester type determinants using block-triangularization. Zbl 1090.15008
Holtz, Olga
2005
$$M$$-matrices satisfy Newton’s inequalities. Zbl 1067.15018
Holtz, Olga
2005
Approximation orders of shift-invariant subspaces of $$W_{2}^{s}(\mathbb R^d)$$. Zbl 1092.41010
Holtz, Olga; Ron, Amos
2005
The inverse eigenvalue problem for symmetric anti-bidiagonal matrices. Zbl 1080.15010
Holtz, Olga
2005
Potter, Wielandt, and Drazin on the matrix equation $$AB=\omega BA$$: new answers to old questions. Zbl 1187.15001
Holtz, Olga; Mehrmann, Volker; Schneider, Hans
2004
Hermite-Biehler, Routh-Hurwitz, and total positivity. Zbl 1031.93136
Holtz, Olga
2003
Open problems on GKK $$\tau$$-matrices. Zbl 1160.15305
Holtz, Olga; Schneider, Hans
2002
Applications of the duality method to generalizations of the Jordan canonical form. Zbl 0999.15011
Holtz, Olga
2000
On convergence of infinite matrix products. Zbl 0964.15030
Holtz, Olga
2000
Not all GKK $$\tau$$-matrices are stable. Zbl 0968.15014
Holtz, Olga
1999
On classification of normal operators in real spaces with indefinite scalar product. Zbl 0901.15016
Holtz, O. V.; Strauss, V. A.
1997
On indecomposable normal matrices in spaces with indefinite salar product. Zbl 0880.15034
Holtz, O. V.
1997
Classification of normal operators in spaces with indefinite scalar product of rank 2. Zbl 0859.15010
Holtz, O. V.; Strauss, V. A.
1996
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#### Cited by 363 Authors

 10 Holtz, Olga 7 Huang, Rong 6 Marco García, Ana 6 Martínez, José-Javier 6 Peña, Juan Manuel 5 Fallat, Shaun M. 5 Johnson, Charles Royal 5 Sturmfels, Bernd 5 Tyaglov, Mikhail 5 van den Driessche, Pauline 4 Charalambides, Marios 4 da Fonseca, Carlos Martins 4 Demmel, James Weldon 4 Marijuán, Carlos 4 Mehl, Christian 4 Oeding, Luke 4 Pisonero, Miriam 3 Brändén, Petter 3 Choque Rivero, Abdon Eddy 3 Chu, Wenchang 3 Csordas, George 3 Dumitriu, Ioana 3 Grigori, Laura 3 Guterman, Alexander Èmilevich 3 Hogben, Leslie 3 Huhtanen, Marko 3 Kilic, Emrah 3 Kushel, Olga Yur’evna 3 Laugesen, Richard Snyder 3 Lenz, Matthias 3 Markova, Olga V. 3 Mehrmann, Volker 3 Moci, Luca 3 Nenashev, Gleb V. 3 Olesky, D. Dale 3 Rodman, Leiba X. 3 Ron, Amos 3 Rouault, Alain 3 Yang, Zhao 2 Adm, Mohammad 2 Ardila Mantilla, Federico 2 Ballard, Grey M. 2 Bebiano, Natália Isabel Quadros 2 Borcea, Julius 2 Bui, Huy-Qui 2 Butler, Steven Kay 2 Catral, Minerva 2 Delgado, Jorge F. M. 2 Dongarra, Jack J. 2 Dyachenko, Alexander Victorovich 2 Gamboa, Fabrice 2 Garloff, Jürgen 2 Garza, Luis E. 2 Griffin, Kent 2 Guillot, Dominique 2 Hall, H. Tracy 2 Kahle, Thomas 2 Kaiblinger, Norbert 2 Khare, Apoorva 2 Lins, Brian 2 Liu, Zhongyun 2 Loewy, Raphael 2 Martinez-Rivera, Xavier 2 Meade, Patrick R. 2 Orera, Héctor 2 Paparella, Pietro 2 Postnikov, Alexander 2 Rajaratnam, Bala 2 Schneider, Hans 2 Schwartz, Oded 2 Strauss, Vladimir Abramovich 2 Tomov, Stanimire Z. 2 Tsatsomeros, Michael J. 2 Varbaro, Matteo 2 Viaña, Raquel 2 Xu, Zhiqiang 2 Zhu, Wei 1 Abbas, Hassan 1 Abril-Raymundo, M. R. 1 Acemoglu, Daron 1 Adrovic, Danko 1 Aguirre-Hernández, Baltazar 1 Aidagulov, R. R. 1 Alarcia-Estévez, E. 1 Alencar, Jorge 1 Alhubail, Maitham 1 Álvarez Dios, José Antonio 1 Area, Iván 1 Arıkan, Talha 1 Aziznejad, Shayan 1 Baboulin, Marc 1 Backman, Spencer 1 Baricz, Árpád 1 Barkovsky, Yury 1 Barrett, Wayne W. 1 Batra, Prashant 1 Beiranvand, Z. 1 Beliakov, Gleb 1 Ben-Or, Michael 1 Benko, David ...and 263 more Authors
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#### Cited in 98 Serials

 53 Linear Algebra and its Applications 9 Linear and Multilinear Algebra 8 Journal of Computational and Applied Mathematics 8 Transactions of the American Mathematical Society 6 SIAM Journal on Scientific Computing 5 Journal of Mathematical Analysis and Applications 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Physics 4 SIAM Journal on Matrix Analysis and Applications 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Journal of Approximation Theory 3 SIAM Review 2 Computing 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 SIAM Journal on Computing 2 European Journal of Combinatorics 2 Parallel Computing 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Advances in Computational Mathematics 2 ELA. The Electronic Journal of Linear Algebra 2 Séminaire Lotharingien de Combinatoire 2 Abstract and Applied Analysis 2 Foundations of Computational Mathematics 2 Complex Analysis and Operator Theory 2 Research in the Mathematical Sciences 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Automatica 1 BIT 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 International Journal of Foundations of Computer Science 1 Distributed Computing 1 Journal of Algebraic Combinatorics 1 Formal Methods in System Design 1 Applied and Computational Harmonic Analysis 1 Numerical Linear Algebra with Applications 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Journal of Computational Neuroscience 1 Integral Transforms and Special Functions 1 Applied Mathematical Finance 1 Discussiones Mathematicae. Graph Theory 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Functional Differential Equations 1 Open Systems & Information Dynamics 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Probability Surveys 1 Random Matrices: Theory and Applications 1 Algebraic Combinatorics
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#### Cited in 43 Fields

 114 Linear and multilinear algebra; matrix theory (15-XX) 70 Numerical analysis (65-XX) 43 Combinatorics (05-XX) 23 Commutative algebra (13-XX) 17 Operator theory (47-XX) 16 Real functions (26-XX) 16 Computer science (68-XX) 15 Algebraic geometry (14-XX) 15 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Functions of a complex variable (30-XX) 14 Special functions (33-XX) 13 Convex and discrete geometry (52-XX) 11 Associative rings and algebras (16-XX) 8 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 7 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Wikidata Timeline

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