Results 11 to 20 of about 622,326 (127)
Choice Reviews Online, 2011 Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants.
Shaun M. Fallat, Charles R. Johnson
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Generalized totally nonnegative matrices [PDF]
Linear Algebra and its Applications, 2002 A new class of generalized totally nonnegative matrices over a noncommutative ring with identity and a positive part is defined as well as a standard form for generalized totally nonnegative matrices. Invertible generalized totally nonnegative matrices of a fixed order are studied and classified.
Fiedler, Miroslav, Markham, Thomas L.
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Totally nonnegative moment matrices [PDF]
Linear Algebra and its Applications, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berthold Heiligers, Heiligers, Berthold
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Subdirect sums of P(P0)-matrices and totally nonnegative matrices [PDF]
Linear Algebra and its Applications, 2008 The authors study the issues of the sub-direct sum of two strictly diagonally dominant \(P\)-matrices being a strictly diagonally dominant \(P\)-matrix. In particular, it is shown that the subdirect sum of overlapping principal submatrices of strictly diagonally dominant \(P\)-matrices is a strictly diagonally dominant \(P\)-matrix.
Huang, Ting-Zhu +4 more
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Relaxing the Nonsingularity Assumption for Intervals of Totally Nonnegative Matrices
The Electronic Journal of Linear Algebra, 2020 Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, then all matrices from this interval are totally nonnegative ...
Adm, Mohammad +3 more
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Improved tests and characterizations of totally nonnegative matrices [PDF]
The Electronic Journal of Linear Algebra, 2014 Totally nonnegative matrices, i.e., matrices having all minors nonnegative, are con- sidered. A condensed form of the Cauchon algorithm which has been proposed for finding a param- eterization of the set of these matrices with a fixed pattern of vanishing minors is derived.
Adm, Mohammad, Garloff, Jürgen
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On the maximum rank of totally nonnegative matrices [PDF]
Linear Algebra and its Applications, 2018 This research was supported by the Spanish DGI grants MTM2013-43678-P, MTM2017-85669-P and MTM2017-90682-REDT.
Rafael Cantó, Ana M. Urbano
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From Totally Nonnegative Matrices to Quantum Matrices and Back, via Poisson Geometry
Springer INdAM Series, 2017 In this survey article, we describe recent work that connects three separate objects of interest: totally nonnegative matrices; quantum matrices; and matrix Poisson varieties.
Stéphane Launois, T H Lenagan
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LU decomposition of totally nonnegative matrices [PDF]
Linear Algebra and its Applications, 2012 15 ...
Goodearl, K.R., Lenagan, T.H.
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Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adm, Mohammad, Garloff, Jürgen
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