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Matrix theory

Table of contents

Matrix decompositions

Matrix normal forms

Triangles of numbers

Analytic function of a matrix

Antieigenvalue theory

Bidiagonalization

Block matrix pseudoinverse

Carleman matrix

Cayley–Hamilton theorem

Commuting matrices

Computational complexity of matrix multiplication

Cracovian

Crouzeix's conjecture

Cuthill–McKee algorithm

Derivative of the exponential map

Eigendecomposition of a matrix

Eigenvalues and eigenvectors of the second derivative

Freivalds' algorithm

Frobenius covariant

Frobenius determinant theorem

Frobenius inner product

GCD matrix

Hadamard product (matrices)

Jacobi's formula

Jordan matrix

Khatri–Rao product

Kronecker product

Kronecker sum of discrete Laplacians

Laplace expansion

Lie product formula

Logarithm of a matrix

Logarithmic norm

Matrix completion

Matrix decomposition

Matrix determinant lemma

Matrix exponential

Matrix multiplication

Matrix multiplication algorithm

Matrix polynomial

Minimal polynomial (linear algebra)

Minimum degree algorithm

Minor (linear algebra)

Moore–Penrose inverse

Nullity theorem

Partial inverse of a matrix

Perron–Frobenius theorem

Poincaré separation theorem

Polar decomposition

Quasideterminant

Rouché–Capelli theorem

SMAWK algorithm

Schur decomposition

Schur–Horn theorem

Sinkhorn's theorem

Smith normal form

Spark (mathematics)

Sparse graph code

Specht's theorem

Square root of a matrix

Sylvester's criterion

Sylvester's formula

Sylvester's law of inertia

Trace inequality

Trigonometric functions of matrices

Unipotent

Weighing matrix

Workshop on Numerical Ranges and Numerical Radii

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