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Matrices: theory and applications

Data up to Jan 2025

Published2003
Citations684
References35

Total Citations Per Year

Abstract

References (35)

Matrix Analysis

1985 • 23,473 citations

Functional analysis

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Real and Complex Analysis.

1987 • 11,498 citations

The Theory of Matrices

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The algebraic eigenvalue problem

1965 • 5,953 citations

Accuracy and Stability of Numerical Algorithms

2002 • 3,423 citations

Non-negative Matrices and Markov Chains

1981 • 2,877 citations

Gaussian elimination is not optimal

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Matrix multiplication via arithmetic progressions

1990 • 2,308 citations

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1966 • 1,404 citations

Algebraic Complexity Theory

1997 • 1,081 citations

Handbook of Matrices

1996 • 998 citations

On matrices with non-positive off-diagonal elements and positive principal minors

1962 • 820 citations

Random Matrices, Frobenius Eigenvalues, and Monodromy

1998 • 720 citations

Gaussian Elimination is not Optimal

2005 • 493 citations

Eigenvalues, invariant factors, highest weights, and Schubert calculus

2000 • 491 citations

Lectures on Matrices

1934 • 313 citations

Advanced number theory

1980 • 228 citations

Non-negative Matrices and Markov Chains (Springer Series in Statistics)

1981 • 220 citations

Analyse numérique matricielle appliquée a l'art de l'ingénieur

1987 • 134 citations

The Polynomial Identities and Variants of 𝑛×𝑛 Matrices

1991 • 92 citations

Transformations by diagonal matrices in a normed space

1962 • 69 citations

Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities

2001 • 63 citations

Extremal Characterizations of the Schur Complement and Resulting Inequalities

2000 • 58 citations

On the Perron-Frobenius theorem.

1957 • 47 citations

Introduction a la théorie des groupes de Lie classiques

1986 • 46 citations

Pinching, Trimming, Truncating, and Averaging of Matrices

2000 • 25 citations

Singular Value Decomposition

2021 • 16 citations

Rank one perturbations

2000 • 13 citations

Polynomial identities and the Cayley-Hamilton theorem

1989 • 9 citations

J. H. M. WEDDERBURN, Lectures on Matrices. (American Mathematical Society Crlloquium Publications, Vol. XVII.) VII + 200 S. New York 1934, publ. by American Mathematical Society. Preis geb. 3 $

1936 • 7 citations

The characteristic polynomial

1998 • 3 citations

Eigenvalues and eigenvectors

1998 • 3 citations

Exponential of a Matrix, Polar Decomposition, and Classical Groups

2010 • 2 citations

Matrices with Real or Complex Entries

2010 • 2 citations

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