Results 21 to 30 of about 45,782 (275)
Totally positive matrices and totally positive hypergraphs [PDF]
, 2001 A real matrix is totally positive if all its minors are nonnegative. In this paper, we characterize 0–1 matrices that can be transformed into totally positive matrices by permutations of rows and ...
Lehel, Jenő +2 more
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EXCLI Journal : Experimental and Clinical Sciences, 2022 Cell-based therapy and tissue engineering are promising substitutes for liver transplantation to cure end-stage liver disorders. However, the limited sources for healthy and functional cells and poor engraftment rate are main challenges to the cell-based
Mostafa Najar-Asl +9 more
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Total positivity of a shuffle matrix [PDF]
Involve, a Journal of Mathematics, 2012 Holte introduced a [math] matrix [math] as a transition matrix related to the carries obtained when summing [math] numbers base [math] . Since then Diaconis and Fulman have further studied this matrix proving it to also be a transition matrix related to the process of [math] -riffle shuffling [math] cards.
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Tropical totally positive matrices [PDF]
, 2018 arXiv:1606.00238International audienceWe investigate the tropical analogues of totally positive and totally nonnegative matrices. These arise when considering the images by the nonarchimedean valuation of the corresponding classes of matrices over a real
Niv, Adi, Gaubert, Stéphane
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Hereditas, 2022 Background Diabetic nephropathy (DN) is the major cause of end-stage renal disease worldwide. The mechanism of tubulointerstitial lesions in DN is not fully elucidated.
Haiyan Cao +4 more
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Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles
, 2023 In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two ensembles that have been significantly explored: totally positive Hessenberg matrices (TPH) and Hessenberg Toeplitz matrices (HT).
Ercolani, Nicholas +2 more
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Fast Projected Newton-like Method for Precision Matrix Estimation under Total Positivity
Advances in Neural Information Processing Systems 36, 2023 We study the problem of estimating precision matrices in Gaussian distributions that are multivariate totally positive of order two ($\mathrm{MTP}_2$). The precision matrix in such a distribution is an M-matrix. This problem can be formulated as a sign-constrained log-determinant program.
Jianfeng Cai 0001 +3 more
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Generalized totally positive matrices [PDF]
, 2000 We say that a rectangular matrix over a (in general, noncommutative) ring with identity having a positive part is generalized totally positive (GTP) if in all nested sequences of so-called relevant submatrices, the Schur complements are positive. Here, a
Miroslav Fiedler +3 more
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Possible spectra of totally positive matrices [PDF]
, 1984 For any given set S of n distinct positive numbers, we construct a symmetric n-by-n (strictly) totally positive matrix whose spectrum is S. Thus, in order to be the spectrum of an n-by-n totally positive matrix, it is necessary and sufficient that n ...
Johnson, Charles R., Barrett, Wayne W.
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The Inverse of a Totally Positive Bi-Infinite Band Matrix [PDF]
Transactions of the American Mathematical Society, 1982 It is shown that a bounded bi-infinite banded totally positive matrix A is boundedly invertible iff there is one and only one bounded sequence mapped by A to the sequence ((-)')■ The argument shows that such a matrix has a main diagonal, i.e., the inverse of A is the bounded pointwise limit of inverses of finite sections of A principal with respect to ...
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