Results 21 to 30 of about 622,326 (127)
Divisibility of LCM matrices by totally nonnegative GCD matrices [PDF]
Linear Algebra and its Applications, 2021 In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring $\mathbb{M}_{n}(\mathbb{Z})$. We also introduce \lq\lq column monotone matrices" used to construct all totally nonegative GCD matrices.
Gatephan, Peeraphat, Rodtes, Kijti
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Sensors, 2016 The main aim of this study was the application of excitation-emission fluorescence matrices (EEMs) combined with two decomposition methods: parallel factor analysis (PARAFAC) and nonnegative matrix factorization (NMF) to study the interaction mechanisms ...
Patrycja Boguta +2 more
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Irreducible totally nonnegative matrices with a prescribed Jordan structure [PDF]
, 2021 [EN] Let A be an irreducible totally nonnegative matrix with rank r and principal rank p, that is, all minors of A are nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its largest invertible principal ...
Cantó Colomina, Rafael +2 more
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Total nonnegativity of GCD matrices and kernels [PDF]
Linear Algebra and its Applications, 2019 Let $X = (x_1,\dots,x_n)$ be a vector of distinct positive integers. The $n \times n$ matrix $S = S(X) := (\gcd(x_i,x_j))_{i,j=1}^n$, where $\gcd(x_i,x_j)$ denotes the greatest common divisor of $x_i$ and $x_j$, is called the greatest common divisor (GCD) matrix on $X$. By a surprising result of Beslin and Ligh [Linear Algebra and Appl.
Dominique Guillot, Jiaru Wu
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On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector [PDF]
, 1982 Elsner L, Johnson CR, Neumann MM. On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. Czechoslovak Mathematical Journal.
Elsner, Ludwig F. +5 more
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Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices [PDF]
, 2022 [EN] Let A be an nxn irreducible totally nonnegative matrix with rank r and principal rank p, that is, A is irreducible with all minors nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its largest invertible
Cantó Colomina, Rafael +2 more
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Intervals of Totally Nonnegative and Related Matrices [PDF]
PAMM, 2002 We consider the class of the totally nonnegative matrices, i.e., the matrices having all their minors nonnegative, and intervals of matrices with respect to the chequerboard partial ordering, which results from the usual entrywise partial ordering if we reverse the inequality sign in all components having odd index sum. For these intervals we study the
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Immanants of Totally Positive Matrices are Nonnegative [PDF]
Bulletin of the London Mathematical Society, 1991 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135201/1/blms0422 ...
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Minimal positive realizations of transfer functions with nonnegative multiple poles [PDF]
, 2005 This note concerns a particular case of the minimality problem in positive system theory. A standard result in linear system theory states that any nth-order rational transfer function of a discrete time-invariant linear single-input-single-output (SISO)
Matolcsi, Máté, Nagy, B.
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Nonnegative minors of minor matrices [PDF]
, 2012 Using the relationship between totally nonnegative matrices and directed acyclic weighted planar networks, we show that 2×2 minors of minor matrices of totally nonnegative matrices are also nonnegative.
David A. Cardon +3 more
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