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doubly stochastic matrix

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  • Doubly stochastic matrix — In mathematics, especially in probability and combinatorics, a doubly stochastic matrix (also called bistochastic), is a square matrix of nonnegative real numbers, each of whose rows and columns sums to 1. Thus, a doubly stochastic matrix is both …   Wikipedia

  • Doubly stochastic — may refer to: Doubly stochastic model Doubly stochastic matrix This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change t …   Wikipedia

  • Stochastic matrix — For a matrix whose elements are stochastic, see Random matrix In mathematics, a stochastic matrix (also termed probability matrix, transition matrix, substitution matrix, or Markov matrix) is a matrix used to describe the transitions of a Markov… …   Wikipedia

  • Matrix theory — is a branch of mathematics which focuses on the study of matrices. Initially a sub branch of linear algebra, it has grown to cover subjects related to graph theory, algebra, combinatorics, and statistics as well.HistoryThe term matrix was first… …   Wikipedia

  • Permutation matrix — In mathematics, in matrix theory, a permutation matrix is a square (0,1) matrix that has exactly one entry 1 in each row and each column and 0 s elsewhere. Each such matrix represents a specific permutation of m elements and, when used to… …   Wikipedia

  • Unistochastic matrix — In mathematics, a unistochastic matrix (also called unitary stochastic ) is a doubly stochastic matrix whose entries are the square of the absolute value of some unitary matrix.The detailed definition is as follows. A square matrix B of size n is …   Wikipedia

  • Orthostochastic matrix — In mathematics, an orthostochastic matrix is a doubly stochastic matrix whose entries are the square of the absolute value of some orthogonal matrix. The detailed definition is as follows. An square matrix B of size n is doubly stochastic (or… …   Wikipedia

  • Nonnegative matrix — A nonnegative matrix is a matrix in which all the elements are equal to or greater than zero A positive matrix is a matrix in which all the elements are greater than zero. The set of positive matrices is a subset of all non negative matrices. A… …   Wikipedia

  • Jacket matrix — In mathematics, a Jacket matrix is a square matrix A= a {ij} of order n whose entries are from a field (including real field, complex field, finite field ), if : AA^{mathrm{*= A^{mathrm{*A= n I n where :A^{mathrm{* is the transpose of the matrix… …   Wikipedia

  • Muirhead's inequality — In mathematics, Muirhead s inequality, named after Robert Franklin Muirhead, also known as the bunching method, generalizes the inequality of arithmetic and geometric means. Contents 1 Preliminary definitions 1.1 The a mean 1.2 Doubly stochastic… …   Wikipedia

  • List of mathematics articles (D) — NOTOC D D distribution D module D D Agostino s K squared test D Alembert Euler condition D Alembert operator D Alembert s formula D Alembert s paradox D Alembert s principle Dagger category Dagger compact category Dagger symmetric monoidal… …   Wikipedia

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