About: Nonnegative matrix

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In mathematics, a nonnegative matrix, written is a matrix in which all the elements are equal to or greater than zero, that is, A positive matrix is a matrix in which all the elements are strictly greater than zero. The set of positive matrices is a subset of all non-negative matrices. While such matrices are commonly found, the term is only occasionally used due to the possible confusion with positive-definite matrices, which are different. A matrix which is both non-negative and is positive semidefinite is called a doubly non-negative matrix.

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rdfs:label	Nonnegative matrix (en)
rdfs:comment	In mathematics, a nonnegative matrix, written is a matrix in which all the elements are equal to or greater than zero, that is, A positive matrix is a matrix in which all the elements are strictly greater than zero. The set of positive matrices is a subset of all non-negative matrices. While such matrices are commonly found, the term is only occasionally used due to the possible confusion with positive-definite matrices, which are different. A matrix which is both non-negative and is positive semidefinite is called a doubly non-negative matrix. (en)
sameAs	Nonnegative matrix Nonnegative matrix
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Clarify dbt:Hatnote dbt:Math dbt:Isbn dbt:Matrix_classes
Subject	Matrices
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Nonnegative_matrix?oldid=1068953336&ns=0
Wikipage page ID	3945884 (xsd:integer)
page length (characters) of wiki page	3658 (xsd:nonNegativeInteger)
Wikipage revision ID	1068953336 (xsd:integer)
Link from a Wikipage to another Wikipage	Groningen Non-negative matrix factorization Berlin Generalized permutation matrix Matrices Doubly stochastic matrix Metzler matrix Definite matrix Robert J. Plemmons Perron–Frobenius theorem Symmetric matrix Invertible matrix Trace (linear algebra) Stieltjes matrix Stochastic matrix Totally positive matrix M-matrix Mathematics Matrix (mathematics) Richard S. Varga
has abstract	In mathematics, a nonnegative matrix, written is a matrix in which all the elements are equal to or greater than zero, that is, A positive matrix is a matrix in which all the elements are strictly greater than zero. The set of positive matrices is a subset of all non-negative matrices. While such matrices are commonly found, the term is only occasionally used due to the possible confusion with positive-definite matrices, which are different. A matrix which is both non-negative and is positive semidefinite is called a doubly non-negative matrix. A rectangular non-negative matrix can be approximated by a decomposition with two other non-negative matrices via non-negative matrix factorization. Eigenvalues and eigenvectors of square positive matrices are described by the Perron–Frobenius theorem. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Nonnegative_matrix
is Wikipage redirect of	Nonnegative matrices Non-negative matrix Negative matrix Positive matrix
is Link from a Wikipage to another Wikipage of	Non-negative matrix factorization Nonnegative matrices Nonnegative rank (linear algebra) Okishio's theorem Non-negative matrix Generalized permutation matrix Distance matrix Metzler matrix Definite matrix List of named matrices Convex function Low-rank approximation M-matrix Marxian economics Negative matrix

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