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is defined similarly, except that all the minors must be non-negative (positive or zero). Some authors use "totally positive" to include all totally non-negative matrices.
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Tensor
Product Multiplicities, Canonical Bases And Totally Positive Varieties (2001), A. Berenstein, A. Zelevinsky
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Topics which historically led to the development of the theory of total positivity include the study of:
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373:{\displaystyle 1\leq i_{1}<\ldots <i_{p}\leq n,\qquad 1\leq j_{1}<\ldots <j_{p}\leq n.}
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is a positive number. A totally positive matrix has all entries positive, so it is also a
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Parametrizations of
Canonical Bases and Totally Positive Matrices, Arkady Berenstein
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Properties of Totally Positive Kernels and Matrices, Allan Pinkus
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Spectral
Properties of Totally Positive Kernels and Matrices, Allan Pinkus
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is totally positive (by M. G. Krein and some colleagues in the mid-1930s),
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whose nodes are positive and increasing is a totally positive matrix.
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16:Not to be confused with
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389:totally positive matrix
59:positive (and positive
33:totally positive matrix
1603:-related article is a
1562:Mathematics portal
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61:eigenvalues
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29:mathematics
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1325:Covariance
1307:statistics
1286:Symplectic
1281:Similarity
1110:Unimodular
1105:Orthogonal
1090:Involutory
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763:Diagonal
516:See also
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195:and any
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1435:Density
1394:Edmonds
1271:Seifert
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1196:Coxeter
1120:Unitary
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969:Of ones
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818:Integer
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838:Moore
718:Block
387:is a
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