Results 1 to 10 of about 622,326 (127)
Intervals of totally nonnegative matrices
Linear Algebra and Its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgen Garloff, Mohammad Adm
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Totally nonnegative (0,1)-matrices [PDF]
Linear Algebra and Its Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steve Kirkland
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The Hadamard core of the totally nonnegative matrices [PDF]
Linear Algebra and Its Applications, 2001 A subclass of totally nonnegative matrices (TN matrices) whose Hadamard product with any TN matrix is again TN is studied. The properties of such matrices in the Hadamard core are discussed concerning the rank of a TN matrix, the set of column vectors that can be inserted into a given matrix in the Hadamard core, tridiagonal matrices, a description of ...
Shaun Fallat, Alissa S Crans
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On Perron complements of totally nonnegative matrices [PDF]
Linear Algebra and Its Applications, 2001 The Perron complement of a principal submatrix of an irreducible totally nonnegative \(n\times n\) matrix \(A\) is discussed. Conditions are studied for which the Perron complement of a totally nonnegative matrix is also totally nonnegative. It is found that this complement is totally nonnegative if the complementary index set is based on consecutive ...
Shaun Fallat
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Multiplicative principal-minor inequalities for totally nonnegative matrices [PDF]
Advances in Applied Mathematics, 2003 An \(n\times n\) matrix \(A\) is called totally nonnegative (TN) if every minor of \(A\) is nonnegative. Several inequalities are known among products of principal minors, especially for positive definite and TN matrices. Examples of these inequalities are the Hadamard, Fischer and Koteljanskii inequalities.
Shaun Fallat
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Interlacing inequalities for totally nonnegative matrices [PDF]
Linear Algebra and Its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chi-Kwong Li, Roy Mathias
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Accurate Computations with Totally Nonnegative Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 We consider the problem of performing accurate computations with rectangular $(m\times n)$ totally nonnegative matrices. The matrices under consideration have the property of having a unique representation as products of nonnegative bidiagonal matrices. Given that representation, one can compute the inverse, LDU decomposition, eigenvalues, and SVD of a
Plamen Koev
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Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2005 This paper presents new algorithms that compute all eigenvalues and singular values of nonsingular totally nonnegative (TN) matrices, matrices all of whose minors are nonnegative, to high relative accuracy. Any nonsingular TN matrix can be represented uniquely as a product of nonnegative bidiagonal matrices BD(A), using an elementary elimination ...
Plamen Koev
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Inequalities in Products of Minors of Totally Nonnegative Matrices [PDF]
Journal of Algebraic Combinatorics, 2004 A matrix is called totally nonnegative if each of its minors is nonnegative and totally positive if the minors are positive. A more traditional terminology called these matrices, respectively, totally positive and strictly totally positive, but those denominations are becoming more used.
Mark Skandera
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The g-theorem matrices are totally nonnegative
Journal of Combinatorial Theory - Series A, 2009 Let \(M_d\) be the matrix whose \((i,j)\)-entry for \(0 \leq i \leq \lfloor d/2 \rfloor\) and \(0 \leq j \leq d\) is \[ \binom{d+1-i}{d+1-j} - \binom{i}{d+1-j}. \] For a simplicial \(d\)-polytope with \(f\)-vector \((f_{-1},f_0,\ldots,f_{d-1})\), its \(g\)-vector \((g_0,\ldots,g_{\lfloor d/2 \rfloor})\) is such that \(f = gM_d\). \textit{A.
Michael Bjorklund, Alexander Engstrom
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