lower triangular matrix

  • 11Triangular 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)}… …

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  • 12Matrix isolation — Diagram representing a triangular, guest species (in red) isolated in solid host matrix (in blue). Matrix isolation is an experimental technique used in chemistry and physics which generally involves a material being trapped within an unreactive… …

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  • 13Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …

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  • 14Hessenberg matrix — In linear algebra, a Hessenberg matrix is one that is almost triangular. To be exact, an upper Hessenberg matrix has zero entries below the first subdiagonal, and a lower Hessenberg matrix has zero entries above the first superdiagonal. They are… …

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  • 15Packed storage matrix — Packed storage matrix, also known as packed matrix, is a term used in programming for representing an m imes n matrix. It is a more compact way than an m by n rectangular array by exploiting a special structure of the matrix.Typical examples of… …

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  • 16Diagonal matrix — In linear algebra, a diagonal matrix is a matrix (usually a square matrix) in which the entries outside the main diagonal (↘) are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n… …

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  • 17Woodbury matrix identity — In mathematics (specifically linear algebra), the Woodbury matrix identity, named after Max A. Woodbury[1][2] says that the inverse of a rank k correction of some matrix can be computed by doing a rank k correction to the inverse of the original… …

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  • 18Invertible matrix — In linear algebra an n by n (square) matrix A is called invertible (some authors use nonsingular or nondegenerate) if there exists an n by n matrix B such that where In denotes the n by n identity matrix and the multiplication used is ordinary… …

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  • 19Anti-diagonal matrix — In mathematics, an anti diagonal matrix is a matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner (↗), known as the anti diagonal.More precisely, an n by n matrix A is an… …

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  • 20LU decomposition — In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… …

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