# Category:Matrix theory

Here is a list of articles in the category **Matrix theory** of the Computing portal that unifies foundations of mathematics and computations using computers.
**Matrix theory** is a branch of mathematics which is focused on study of matrices. Initially, it was a sub-branch of linear algebra, but soon it grew to cover subjects related to graph theory, algebra, combinatorics and statistics as well.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

### D

### M

### T

## Pages in category "Matrix theory"

The following 115 pages are in this category, out of 115 total.

### A

- Adjugate matrix
*(computing)* - Amitsur–Levitzki theorem
*(computing)* - Antieigenvalue theory
*(computing)*

### B

- Bendixson's inequality
*(computing)* - Bidiagonalization
*(computing)* - Block matrix pseudoinverse
*(computing)*

### C

- Carleman matrix
*(computing)* - Cayley–Hamilton theorem
*(computing)* - Change of basis
*(computing)* - Commuting matrices
*(computing)* - Companion matrix
*(computing)* - Computing the permanent
*(computing)* - Coppersmith–Winograd algorithm
*(computing)* - Cracovian
*(astronomy)* - Crouzeix's conjecture
*(computing)* - Cuthill–McKee algorithm
*(computing)*

### D

- Derivative of the exponential map
*(computing)* - Determinant
*(computing)*

### E

- Eigendecomposition of a matrix
*(computing)* - Eigenoperator
*(computing)* - Eigenvalues and eigenvectors
*(computing)* - Eigenvalues and eigenvectors of the second derivative
*(computing)*

### F

- Faddeev–LeVerrier algorithm
*(computing)* - Freivalds' algorithm
*(computing)* - Frobenius covariant
*(computing)* - Frobenius determinant theorem
*(computing)*

### G

- Generalized eigenvector
*(computing)* - Gershgorin circle theorem
*(computing)* - Golden–Thompson inequality
*(computing)*

### H

- Hadamard product (matrices)
*(computing)* - Haynsworth inertia additivity formula
*(computing)*

### I

- Immanant
*(computing)* - International Linear Algebra Society
*(organization)* - Invertible matrix
*(computing)*

### J

- Jacobi's formula
*(computing)* - Jordan matrix
*(computing)* - Jordan normal form
*(computing)*

### K

- Khatri-Rao product
*(computing)* - Khatri–Rao product
*(computing)* - Kronecker product
*(computing)* - Kronecker sum of discrete Laplacians
*(computing)*

### L

- Laplace expansion
*(computing)* - Lie product formula
*(computing)* - Loewner order
*(computing)* - Logarithm of a matrix
*(computing)* - Logarithmic norm
*(computing)*

### M

- Manin matrix
*(computing)* - Matrix calculus
*(computing)* - Matrix completion
*(computing)* - Matrix decomposition
*(computing)* - Matrix determinant lemma
*(computing)* - Matrix exponential
*(computing)* - Matrix function
*(computing)* - Frobenius inner product
*(computing)* - Matrix multiplication
*(computing)* - Matrix polynomial
*(computing)* - Matrix ring
*(computing)* - Matrix semialgebra
*(computing)* - Matrix semiring
*(computing)* - Matrix unit
*(computing)* - Minimal polynomial (linear algebra)
*(computing)* - Minimum degree algorithm
*(computing)* - Minor (linear algebra)
*(computing)* - Proofs involving the Moore–Penrose inverse
*(computing)* - Moore–Penrose inverse
*(computing)* - Mutual coherence (linear algebra)
*(computing)*

### N

- Non-negative matrix factorization
*(computing)* - Nullity theorem
*(computing)* - Numerical range
*(computing)*

### O

- Operator monotone function
*(computing)* - Orthogonal Procrustes problem
*(computing)*

### P

- P-matrix
*(computing)* - Partial inverse of a matrix
*(computing)* - Permanent (mathematics)
*(computing)* - Perron–Frobenius theorem
*(computing)* - Poincaré separation theorem
*(computing)* - Polar decomposition
*(computing)* - Productive matrix
*(computing)*

### Q

- Q-matrix
*(computing)* - Quasideterminant
*(computing)*

### R

- Rouché–Capelli theorem
*(computing)*

### S

- Schur decomposition
*(computing)* - Schur product theorem
*(computing)* - Schur–Horn theorem
*(computing)* - Sherman–Morrison formula
*(computing)* - Singular matrix
*(computing)* - Singular value decomposition
*(computing)* - Sinkhorn's theorem
*(computing)* - SMAWK algorithm
*(computing)* - Smith normal form
*(computing)* - Spark (mathematics)
*(computing)* - Sparse graph code
*(computing)* - Specht's theorem
*(computing)* - Spectral abscissa
*(computing)* - Spectral theorem
*(computing)* - Spectrum of a matrix
*(computing)* - Spread of a matrix
*(computing)* - Square root of a matrix
*(computing)* - Sylvester's criterion
*(computing)* - Sylvester's determinant identity
*(computing)* - Sylvester's formula
*(computing)* - Sylvester's law of inertia
*(computing)*

### T

- Totally positive matrix
*(computing)* - Trace (linear algebra)
*(computing)* - Trace diagram
*(computing)* - Trace inequality
*(computing)* - Tracy-Singh product
*(computing)* - Trigonometric functions of matrices
*(computing)*

### U

- Unipotent
*(computing)*

### W

- Weighing matrix
*(computing)* - Weinstein–Aronszajn identity
*(computing)* - Weyr canonical form
*(computing)* - Whitehead's lemma
*(computing)* - Woodbury matrix identity
*(computing)* - Workshop on Numerical Ranges and Numerical Radii
*(computing)*