lower triangular matrix

  • 31Fundamental theorem of linear algebra — In mathematics, the fundamental theorem of linear algebra makes several statements regarding vector spaces. These may be stated concretely in terms of the rank r of an m times; n matrix A and its LDU factorization::PA=LDUwherein P is a… …

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  • 32Wishart distribution — Probability distribution name =Wishart type =density pdf cdf parameters = n > 0! deg. of freedom (real) mathbf{V} > 0, scale matrix ( pos. def) support =mathbf{W}! is positive definite pdf =frac{left|mathbf{W} ight|^frac{n p 1}{2… …

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  • 33Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …

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  • 34arts, East Asian — Introduction       music and visual and performing arts of China, Korea, and Japan. The literatures of these countries are covered in the articles Chinese literature, Korean literature, and Japanese literature.       Some studies of East Asia… …

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  • 35List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… …

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  • 36Central series — In mathematics, especially in the fields of group theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly trivial. For groups, this is an explicit… …

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  • 37Vectorization (mathematics) — In mathematics, especially in linear algebra and matrix theory, the vectorization of a matrix is a linear transformation which converts the matrix into a column vector. Specifically, the vectorization of an m×n matrix A , denoted by vec( A ), is… …

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  • 38Block LU decomposition — In linear algebra, a Block LU decomposition is a decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix U . This decomposition is used in numerical analysis to reduce the complexity of the… …

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  • 39Preconditioner — In linear algebra and numerical analysis, a preconditioner P of a matrix A is a matrix such that P −1 A has a smaller condition number than A .Preconditioners are useful when using an iterative method to solve a large, sparse linear system : Ax …

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  • 40Jacobi method — The Jacobi method is an algorithm in linear algebra for determining the solutions of a system of linear equations with largest absolute values in each row and column dominated by the diagonal element. Each diagonal element is solved for, and an… …

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