# zbMATH — the first resource for mathematics

## Williamson, John

Compute Distance To:
 Author ID: williamson.john Published as: Williamson, J.; Williamson, John External Links: MGP · Wikidata
 Documents Indexed: 75 Publications since 1925 Biographic References: 1 Publication

#### Co-Authors

 17 single-authored 5 Turnbull, Herbert Westren
all top 5

#### Serials

 6 American Journal of Mathematics 4 Bulletin of the American Mathematical Society 3 Duke Mathematical Journal 3 Proceedings of the Royal Society of Edinburgh 2 American Mathematical Monthly 2 Transactions of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Second Series

#### Fields

 1 Nonassociative rings and algebras (17-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 483 times in 346 Documents Cited by Year
On the algebraic problem concerning the normal forms of linear dynamical systems. Zbl 0013.28401
Williamson, John
1936
On the algebraic problem concerning the normal forms of linear dynamical systems. JFM 63.1290.01
Williamson, J.
1936
Hadamard’s determinant theorem and the sum of four squares. Zbl 0060.03202
Williamson, John
1944
On the algebraic problem concerning the normal forms of linear dynamical systems. JFM 62.1795.10
Williamson, J.
1936
Determinants whose elements are 0 and 1. Zbl 0060.03203
Williamson, John
1946
On the normal forms of linear canonical transformations in dynamics. Zbl 0017.09704
Williamson, John
1937
Note on Hadamard’s determinant theorem. Zbl 0032.24506
Williamson, John
1947
On the normal forms of linear canonical transformations in dynamics. JFM 63.0845.02
Williamson, J.
1937
The equivalence of non-singular pencils of Hermitian matrices in an arbitrary field. Zbl 0012.00403
Williamson, J.
1935
Note on the equivalence of nonsingular pencils of Hermitian matrices. Zbl 0060.03504
Williamson, John
1945
An algebraic problem involving the involutory integrals of linear dynamical systems. JFM 66.0991.02
Williamson, J.
1940
The equivalence of non-singular pencils of Hermitian matrices in an arbitrary field. JFM 61.0073.01
Williamson, J.
1935
Note on a principal axis transformation for non-hermitian matrices. Zbl 0022.29804
Williamson, John
1939
The conjunctive equivalence of pencils of hermitian and anti-hermitian matrices. Zbl 0016.19802
Williamson, John
1937
The exponential representation of canonical matrices. Zbl 0022.10007
Williamson, John
1939
Normal matrices over an arbitrary field of characteristic zero. Zbl 0021.09906
Williamson, John
1939
The exponential representation of canonical matrices. JFM 65.1114.04
Williamson, J.
1939
Normal matrices over an arbitrary field of characteristic zero. JFM 65.0042.02
Williamson, J.
1939
Note on a principal axis transformation for non-Hermitian matrices. JFM 65.0041.06
Williamson, J.
1939
The conjunctive equivalence of pencils of hermitian and anti-hermitian matrices. JFM 63.0036.05
Williamson, J.
1937
The latent rotts of a matrix of special type. Zbl 0002.24405
Williamson, John
1931
The latent roots of a matrix of special type. JFM 57.0116.01
Williamson, John
1931
An algebraic problem involving the involutory integrals of linear dynamical systems. Zbl 0024.13301
Williamson, John
1940
Quasi-unitary matrices. Zbl 0018.28903
Williamson, John
1937
The simultaneous reduction of two matrices to triangle form. Zbl 0011.19409
Williamson, J.
1935
Matrices whose $$s$$th compounds are equal. JFM 59.0113.03
Williamson, John
1933
A polar representation of singular matrices. JFM 61.0072.01
Williamson, J.
1935
The simultaneous reduction of two matrices to triangle form. JFM 61.0071.04
Williamson, J.
1935
A generalization of the polar representation of nonsingular matrices. Zbl 0060.03503
Williamson, John
1942
Simultaneous reduction of a square matrix and an Hermitian matrix to canonical form. JFM 65.0042.01
Williamson, J.
1939
Matrices normal with respect to an Hermitian matrix. Zbl 0019.00102
Williamson, John
1938
Matrices normal with respect to an Hermitian matrix. JFM 64.0045.01
Williamson, J.
1938
Quasi-unitary matrices. JFM 63.0845.01
Williamson, John
1937
On the equivalence of two singular matrix pencils. Zbl 0014.19601
Williamson, J.
1936
The idempotent and nilpotent elements of a matrix. JFM 62.1076.01
Williamson, J.
1936
On the equivalence of two singular matrix pencils. JFM 62.0058.03
Williamson, J.
1936
The product of a circulant matrix and a special diagonal matrix. Zbl 0004.24103
Williamson, J.
1932
Note on Hadamard’s determinant theorem. Zbl 0032.24506
Williamson, John
1947
Determinants whose elements are 0 and 1. Zbl 0060.03203
Williamson, John
1946
Note on the equivalence of nonsingular pencils of Hermitian matrices. Zbl 0060.03504
Williamson, John
1945
Hadamard’s determinant theorem and the sum of four squares. Zbl 0060.03202
Williamson, John
1944
A generalization of the polar representation of nonsingular matrices. Zbl 0060.03503
Williamson, John
1942
An algebraic problem involving the involutory integrals of linear dynamical systems. JFM 66.0991.02
Williamson, J.
1940
An algebraic problem involving the involutory integrals of linear dynamical systems. Zbl 0024.13301
Williamson, John
1940
Note on a principal axis transformation for non-hermitian matrices. Zbl 0022.29804
Williamson, John
1939
The exponential representation of canonical matrices. Zbl 0022.10007
Williamson, John
1939
Normal matrices over an arbitrary field of characteristic zero. Zbl 0021.09906
Williamson, John
1939
The exponential representation of canonical matrices. JFM 65.1114.04
Williamson, J.
1939
Normal matrices over an arbitrary field of characteristic zero. JFM 65.0042.02
Williamson, J.
1939
Note on a principal axis transformation for non-Hermitian matrices. JFM 65.0041.06
Williamson, J.
1939
Simultaneous reduction of a square matrix and an Hermitian matrix to canonical form. JFM 65.0042.01
Williamson, J.
1939
Matrices normal with respect to an Hermitian matrix. Zbl 0019.00102
Williamson, John
1938
Matrices normal with respect to an Hermitian matrix. JFM 64.0045.01
Williamson, J.
1938
On the normal forms of linear canonical transformations in dynamics. Zbl 0017.09704
Williamson, John
1937
On the normal forms of linear canonical transformations in dynamics. JFM 63.0845.02
Williamson, J.
1937
The conjunctive equivalence of pencils of hermitian and anti-hermitian matrices. Zbl 0016.19802
Williamson, John
1937
The conjunctive equivalence of pencils of hermitian and anti-hermitian matrices. JFM 63.0036.05
Williamson, J.
1937
Quasi-unitary matrices. Zbl 0018.28903
Williamson, John
1937
Quasi-unitary matrices. JFM 63.0845.01
Williamson, John
1937
On the algebraic problem concerning the normal forms of linear dynamical systems. Zbl 0013.28401
Williamson, John
1936
On the algebraic problem concerning the normal forms of linear dynamical systems. JFM 63.1290.01
Williamson, J.
1936
On the algebraic problem concerning the normal forms of linear dynamical systems. JFM 62.1795.10
Williamson, J.
1936
On the equivalence of two singular matrix pencils. Zbl 0014.19601
Williamson, J.
1936
The idempotent and nilpotent elements of a matrix. JFM 62.1076.01
Williamson, J.
1936
On the equivalence of two singular matrix pencils. JFM 62.0058.03
Williamson, J.
1936
The equivalence of non-singular pencils of Hermitian matrices in an arbitrary field. Zbl 0012.00403
Williamson, J.
1935
The equivalence of non-singular pencils of Hermitian matrices in an arbitrary field. JFM 61.0073.01
Williamson, J.
1935
The simultaneous reduction of two matrices to triangle form. Zbl 0011.19409
Williamson, J.
1935
A polar representation of singular matrices. JFM 61.0072.01
Williamson, J.
1935
The simultaneous reduction of two matrices to triangle form. JFM 61.0071.04
Williamson, J.
1935
Matrices whose $$s$$th compounds are equal. JFM 59.0113.03
Williamson, John
1933
The product of a circulant matrix and a special diagonal matrix. Zbl 0004.24103
Williamson, J.
1932
The latent rotts of a matrix of special type. Zbl 0002.24405
Williamson, John
1931
The latent roots of a matrix of special type. JFM 57.0116.01
Williamson, John
1931
all top 5

#### Cited by 470 Authors

 11 de Gosson, Maurice Alexis 10 Kozlov, Valeriĭ Vasil’evich 9 Seberry, Jennifer R. 6 Bridges, Thomas J. 6 Cushman, Richard H. 6 Kotsireas, Ilias S. 6 Vũ Ngọc, San 5 Et-Taoui, Boumediene 5 Pelayo, Alvaro 4 Bright, Curtis 4 Dias, Nuno Costa 4 Ganesh, Vijay 4 Kounias, Stratis 4 Luef, Franz 4 Miranda, Eva 4 Prata, João Nuno 4 Thompson, Robert C. 3 Baumert, Leonard D. 3 Deprit, André 3 Ehlich, Hartmut 3 Hall, Marshall jun. 3 Hohloch, Sonja 3 Kocak, Huseyin 3 Koukouvinos, Christos 3 Laffey, Thomas J. 3 Marcus, Marvin D. 3 Militaru, Gigel 3 Nguyen Tien Zung 3 Palmer, Joseph 3 Sepe, Daniele 3 Sergeichuk, Vladimir Vasil’evich 3 Whiteman, Albert Leon 2 Adesso, Gerardo 2 Agore, Ana-Loredana 2 Alieva, Tatiana 2 Bastiaans, Martin J. 2 Bolsinov, Alexey V. 2 Bovdi, Victor A. 2 Burgoyne, N. 2 Curras Bosch, Carlos 2 Czarnecki, Krzysztof 2 Di Giulio, Giuseppe 2 Gibson, Peter M. 2 Ginzburg, Viktor L’vovich 2 Haber, Seymour 2 Heinle, Albert 2 Horn, Roger Alan 2 Ikramov, Saidkhakim Dododshanovich 2 Kharaghani, Hadi 2 Klee, Victor LaRue 2 Kozlov, Vladimir Vasilievich 2 Krajňák, Vladimír 2 Lami, Ludovico 2 Lee, Antony R. 2 Leopardi, Paul Charles 2 Lovass-Nagy, Victor 2 MacKay, Robert Sinclair 2 Melbourne, Ian 2 Mitrouli, Marilena 2 Narcowich, Francis J. 2 Orrick, William P. 2 Osipov, Denis Vasil’evich 2 Pesotan, Hosh 2 Powers, David L. 2 Ralph, Timothy C. 2 Robbiano, María 2 Sabatini, Silvia 2 Šafránek, Dominik 2 Salim, Mohamed Ahmed M. 2 Sloane, Neil James Alexander 2 Taussky-Todd, Olga 2 Todd, John 2 Tonni, Erik 2 Turyn, Richard J. 2 Uhlig, Frank 2 Waalkens, Holger 2 Wacheux, Christophe 2 Waterhouse, William C. 2 Wilbert, Arik 2 Winternitz, Pavel 2 Yamada, Mieko 2 Yang, Chaohui 2 Zheglov, Alexander B. 1 Abbasnezhad, Farkhondeh 1 Adams, Joshua 1 Afshar, Davood 1 Agrachev, Andreĭ Aleksandrovich 1 AlAli, Mashhour I. M. 1 Amann, Herbert 1 Andrade, Enide 1 Aoki, Satoshi 1 Arias, Raúl E. 1 Awyzio, Gene 1 Babelon, Olivier 1 Bach, Volker 1 Bardin, Boris Sabirovich 1 Barrera Acevedo, Santiago 1 Bart, Hans-Jörg 1 Basak, Inna 1 Bates, Larry M. ...and 370 more Authors
all top 5

#### Cited in 139 Serials

 46 Linear Algebra and its Applications 18 Journal of Mathematical Physics 11 Discrete Mathematics 11 Journal of Combinatorial Theory. Series A 9 Journal of Statistical Planning and Inference 7 Communications in Mathematical Physics 7 Linear and Multilinear Algebra 7 New Journal of Physics 6 Bulletin of the American Mathematical Society 5 Journal of Applied Mathematics and Mechanics 5 Mathematics of Computation 5 Journal of Geometry and Physics 5 Journal of Differential Equations 5 Mathematische Zeitschrift 5 Celestial Mechanics 5 Regular and Chaotic Dynamics 4 Letters in Mathematical Physics 4 Advances in Mathematics 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Proceedings of the American Mathematical Society 4 Physica D 3 Bulletin of the Australian Mathematical Society 3 Annales de l’Institut Fourier 3 Journal of Symbolic Computation 3 Differential Geometry and its Applications 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Science 3 Journal of Mathematical Chemistry 3 Doklady Mathematics 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Journal of Physics A: Mathematical and Theoretical 2 Discrete Applied Mathematics 2 International Journal of Control 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Russian Mathematical Surveys 2 Glasgow Mathematical Journal 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Programming and Computer Software 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of High Energy Physics 2 Journal of Statistical Mechanics: Theory and Experiment 1 Communications on Pure and Applied Mathematics 1 European Journal of Physics 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Moscow University Mathematics Bulletin 1 Physics Letters. A 1 Reviews of Modern Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Aplikace Matematiky 1 Archiv der Mathematik 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Systems & Control Letters 1 Computer Aided Geometric Design 1 Journal of Automated Reasoning 1 Dynamics and Stability of Systems 1 The Journal of Geometric Analysis 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique ...and 39 more Serials
all top 5

#### Cited in 47 Fields

 82 Linear and multilinear algebra; matrix theory (15-XX) 81 Dynamical systems and ergodic theory (37-XX) 66 Combinatorics (05-XX) 62 Quantum theory (81-XX) 51 Mechanics of particles and systems (70-XX) 37 Differential geometry (53-XX) 23 Ordinary differential equations (34-XX) 22 Statistics (62-XX) 21 Partial differential equations (35-XX) 15 Group theory and generalizations (20-XX) 12 Operator theory (47-XX) 12 Numerical analysis (65-XX) 11 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 9 Number theory (11-XX) 9 Nonassociative rings and algebras (17-XX) 8 Algebraic geometry (14-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Associative rings and algebras (16-XX) 7 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Topological groups, Lie groups (22-XX) 6 Manifolds and cell complexes (57-XX) 6 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Commutative algebra (13-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

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