User:Aniruddha22Paranjpye/Books/Matrix Theory
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Matrix Theory[edit]
- Field of values
- Adjugate matrix
- Bidiagonalization
- Binomial inverse theorem
- Block matrix pseudoinverse
- Change of basis
- Commuting matrices
- Computing the permanent
- Coppersmith–Winograd algorithm
- Cracovian
- Cuthill–McKee algorithm
- Determinant
- Eigendecomposition of a matrix
- Eigenvalues and eigenvectors of the second derivative
- Freivald's algorithm
- Frobenius covariant
- Gershgorin circle theorem
- Golden–Thompson inequality
- Immanant of a matrix
- Invertible matrix
- Jacobi's formula
- Jordan matrix
- Jordan normal form
- Khatri-Rao product
- Kronecker product
- Kronecker sum of discrete Laplacians
- Laplace expansion
- Lie product formula
- Logarithm of a matrix
- Logarithmic norm
- Matrix calculus
- Matrix exponential
- Matrix multiplication
- Matrix decomposition
- Matrix determinant lemma
- Matrix function
- Matrix ring
- Matrix unit
- Minimal polynomial (linear algebra)
- Minimum degree algorithm
- Minor (linear algebra)
- Proofs involving the Moore–Penrose pseudoinverse
- Moore–Penrose pseudoinverse
- Mutual coherence (linear algebra)
- Non-negative matrix factorization
- Nullity theorem
- Numerical range
- Orthogonal Procrustes problem
- P-matrix
- Permanent
- Perron–Frobenius theorem
- Polar decomposition
- Quasideterminant
- Schur decomposition
- Schur–Horn theorem
- Sherman–Morrison formula
- Singular value decomposition
- Sinkhorn's theorem
- Smith normal form
- Spark (mathematics)
- Sparse graph code
- Specht's theorem
- Spectral abscissa
- Spectral theorem
- Spectrum of a matrix
- Spread of a matrix
- Square root of a matrix
- Submatrix
- Sylvester's determinant theorem
- Sylvester's criterion
- Sylvester's formula
- Sylvester's law of inertia
- Totally positive matrix
- Trace (linear algebra)
- Trace diagram
- Tracy-Singh product
- Unipotent
- Von Neumann's trace inequality
- Weighing matrix
- Block LU decomposition
- Cholesky decomposition
- Crout matrix decomposition
- Jordan–Chevalley decomposition
- LU decomposition
- QR decomposition
- Rank factorization
- Symbolic Cholesky decomposition
- Blind signal separation
- Eigenvalues and eigenvectors
- Generalized singular value decomposition
- Gene H. Golub
- Kernel (matrix)
- Ervand Kogbetliantz
- Non-linear iterative partial least squares
- Normal mode
- Principal component analysis
- Schmidt decomposition
- Singular value
- Two-dimensional singular value decomposition
- Diagonal matrix
- Frobenius normal form
- Random matrix
- Circular ensemble
- Gaussian matrix ensemble
- Gaussian unitary ensemble
- Matrix normal distribution
- Tracy–Widom distribution
- Weingarten function
- Wishart distribution
- Anti-diagonal matrix
- Band matrix
- Bidiagonal matrix
- Block matrix
- Generalized permutation matrix
- Identity matrix
- Nested dissection
- Pentadiagonal matrix
- Permutation matrix
- Reverse Cuthill-McKee algorithm
- Shear matrix
- Shift matrix
- Single-entry matrix
- Skyline matrix
- Sparse matrix
- Tridiagonal matrix
- Zero matrix
- Alternant matrix
- Antisymmetrizer
- Bareiss algorithm
- Berezinian
- Capelli's identity
- Cauchy matrix
- Cauchy–Binet formula
- Circulant matrix
- Cramer's rule
- Dieudonné determinant
- Discriminant
- Dodgson condensation
- Fredholm determinant
- Functional determinant
- Gramian matrix
- Hadamard's inequality
- Hilbert matrix
- Jacobian matrix and determinant
- Leibniz formula for determinants
- Lewis Carroll identity
- Moore determinant
- Persymmetric matrix
- Pfaffian
- Resultant
- Slater determinant
- Vandermonde matrix
- Volume form
- Wronskian