In linear algebra, a tridiagonal matrix is a band matrix that has nonzero elements only on the main diagonal, the subdiagonal/lower diagonal (the first...

In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to...

block tridiagonal matrix as coefficient matrix. The Thomas algorithm, used for efficient solution of equation systems involving a tridiagonal matrix can...

|i-j|>k} . A band matrix with k1 = k2 = 0 is a diagonal matrix, with bandwidth 0. A band matrix with k1 = k2 = 1 is a tridiagonal matrix, with bandwidth...

Multiplication operator Tridiagonal matrix Toeplitz matrix Toral Lie algebra Circulant matrix Proof: given the elementary matrix e i j {\displaystyle e_{ij}}...

elimination QR decomposition Cholesky decomposition Hessenberg matrix Tridiagonal matrix Invariant subspace Axler, Sheldon Jay (1997). Linear Algebra Done...

Triangular matrix Tridiagonal matrix Block matrix Sparse matrix Hessenberg matrix Hessian matrix Vandermonde matrix Stochastic matrix Toeplitz matrix Circulant...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

linear system or calculation of the inverse matrix. For non-structured matrices (not sparse, not Toeplitz,...) this requires O ( n 3 ) {\displaystyle...

fast solvers for Poisson's equation express the problem as solving a tridiagonal matrix, discretising the solution on a regular grid. Systems which have good...

(1988). "Superfast Solution of Real Positive Definite Toeplitz Systems". SIAM Journal on Matrix Analysis and Applications. 9: 61–76. CiteSeerX 10.1.1...

and the SIAM Journal on Matrix Analysis and Applications (SIMAX). Golub, Gene H. (1962). "Bounds for eigenvalues of tridiagonal symmetric matrices computed...

analysis: Sparse matrix Band matrix Bidiagonal matrix Tridiagonal matrix Pentadiagonal matrix Skyline matrix Circulant matrix Triangular matrix Diagonally dominant...

the Gauss–Seidel method Tridiagonal matrix algorithm (Thomas algorithm): solves systems of tridiagonal equations Sparse matrix algorithms Cuthill–McKee...

and which represents a symmetric, tridiagonal matrix. For an equidistant grid one gets a Toeplitz matrix. The 2D case shows all the characteristics...

vector space V. Introduced by Clebsch. continuant A determinant of a tridiagonal matrix.(Salmon 1885, p.18) contragredient Transforming according to the dual...