lower triangular matrix

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• Triangular matrix — In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix where the entries either below or above the main diagonal are zero. Because matrix equations with triangular matrices are easier to solve… …   Wikipedia

• Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …   Wikipedia

• Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

• Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices …   Wikipedia

• Crout matrix decomposition — In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). The Crout matrix… …   Wikipedia

• Band matrix — In mathematics, particularly matrix theory, a band matrix is a sparse matrix whose non zero entries are confined to a diagonal band, comprising the main diagonal and zero or more diagonals on either side. Contents 1 Matrix bandwidth 2… …   Wikipedia

• Pascal matrix — In mathematics, particularly matrix theory and combinatorics, the Pascal matrix is an infinite matrix containing the binomial coefficients as its elements. There are 3 ways this can be achieved either as an upper triangular matrix, a lower… …   Wikipedia

• Matriz triangular — En álgebra lineal, una matriz triangular es un tipo especial de matriz cuadrada cuyos elementos por encima o por debajo de su diagonal principal son cero. Debido a que los sistemas de ecuaciones lineales con matrices triangulares son mucho más… …   Wikipedia Español

• Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

• Duplication matrix — In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half vectorizations of matrices into vectorizations or (respectively) vice… …   Wikipedia

• Triangular distribution — Probability distribution name =Triangular type =density pdf cdf parameters =a: ain ( infty,infty)b: b>a,c: ale cle b, support =a le x le b ! pdf = left{ egin{matrix} frac{2(x a)}{(b a)(c a)} mathrm{for } a le x le c frac{2(b x)}{(b a)(b c)}… …   Wikipedia