Results 1 to 10 of about 1,769,588 (220)
Efficient Recognition of Totally Nonnegative Matrix Cells [PDF]
21p
Stéphane Launois
exaly +4 more sources
Totally nonnegative cells and matrix Poisson varieties [PDF]
We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce nonempty cells in the cell decompositions of spaces of totally nonnegative matrices introduced by A. Postnikov.
Stéphane Launois +2 more
exaly +6 more sources
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Jürgen Garloff, Mohammad Adm
exaly +6 more sources
Path tableaux and combinatorial interpretations of immanants for class functions on $S_n$ [PDF]
Let $χ ^λ$ be the irreducible $S_n$-character corresponding to the partition $λ$ of $n$, equivalently, the preimage of the Schur function $s_λ$ under the Frobenius characteristic map.
Sam Clearman +2 more
doaj +1 more source
Sign variation, the Grassmannian, and total positivity [PDF]
The totally nonnegative Grassmannian is the set of $k$-dimensional subspaces $V$ of ℝ$n$ whose nonzero Plücker coordinates (i.e. $k × k$ minors of a $k × n$ matrix whose rows span $V$) all have the same sign.
Steven N. Karp
doaj +1 more source
Objective Metabolic reprogramming is one of the hallmarks of cancer, but metabolic pathway activity‐related subtypes of hepatocellular carcinoma (HCC) have not been identified.
Junyu Huo, Jinzhen Cai, Liqun Wu
doaj +1 more source
Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation [PDF]
Tridiagonal matrices are considered which are totally nonnegative, i. e., all their mi- nors are nonnegative. The largest amount is given by which the single entries of such a matrix can be perturbed without losing the property of total nonnegativity.
Adm, Mohammad, Garloff, Jürgen
openaire +2 more sources
Total Variation and Signature-Based Regularizations on Coupled Nonnegative Matrix Factorization for Data Fusion [PDF]
As an effective approach to gain the high-spatial-resolution hyperspectral images, data fusion is usually adopted to enhance the spatial resolution of hyperspectral images by the spatial information of multispectral images. In this paper, in order to remove the ill-posedness of well-known coupled non-negative matrix factorization, we formulate a well ...
Feixia Yang +3 more
openaire +4 more sources
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
doaj +1 more source
Factorisation of cross-symmetric, totally nonnegative matrices and an amazing matrix
We establish a factorisation theorem for invertible, cross-symmetric, totally nonnegative matrices, and illustrate the theory by verifying that certain cases of Holte's Amazing Matrix are totally nonnegative.
Lenagan, T H, Neate, A P
openaire +2 more sources

