Results 1 to 10 of about 510,471 (302)
Partial Matrix Completion [PDF]
Advances in Neural Information Processing Systems 36, 2023 The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy can be drastically different over different entries.
Elad Hazan +4 more
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Some Results on Characterizations of Matrix Partial Orderings [PDF]
Journal of Applied Mathematics, 2014 Some characterizations of the left-star, right-star, and star partial orderings between matrices of the same size are obtained. Based on those results, several characterizations of the star partial ordering between EP matrices are given.
Hongxing Wang, Jin Xu
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Indian Journal of Dermatology, 2013 Background: Ingrown toenails (IT) is a very common problem leading to significant associated morbidity. The articles related to phenolization for matrix removal in teenagers with IT are not enough in the foot surgery literature.
Murat Korkmaz +4 more
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Completion of a partial integral matrix to a unimodular matrix [PDF]
Linear Algebra and its Applications, 2006 AbstractWe first characterize submatrices of a unimodular integral matrix. We then prove that if n entries of an n×n partial integral matrix are prescribed and these n entries do not constitute a row or a column, then this matrix can be completed to a unimodular matrix.
Zhan, Xingzhi
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New matrix partial order based on spectrally orthogonal matrix decomposition [PDF]
Linear and Multilinear Algebra, 2015 The research of the first author was supported by the Grants [grant number RFBR-15-01-01132], [grant number MD-962.2014.1]. The second and third authors have been partially supported by Ministerio de Economia y Competitividad from Spain, DGI [grant number MTM2013-43678-P].
Guterman, Alexander +2 more
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Matrix Rationalization via Partial Orders [PDF]
A preference matrix $M$ has an entry for each pair of candidates in an election whose value $p_{ij}$ represents the proportion of voters that prefer candidate $i$ over candidate $j$. The matrix is rationalizable if it is consistent with a set of voters whose preferences are total orders.
Agnes Totschnig +2 more
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On the completion of a partial integral matrix to a unimodular matrix [PDF]
Linear Algebra and its Applications, 2007 A \textit{partial} \(n \times n\) integer matrix \(A\) is one in which some entries are indeterminates. A free diagonal for such a matrix is an \(n\)-tuple \(a_{1,\sigma(1)},\dots, a_{n,\sigma(n)}\) for a permutation \(\sigma\). The author shows that if \(A\) has a free diagonal, then there is an evaluation of the indeterminate entries that gives a ...
Fang, Maozhong
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Matrix identities on weighted partial Motzkin paths [PDF]
European Journal of Combinatorics, 2007 We give a combinatorial interpretation of a matrix identity on Catalan numbers and the sequence $(1, 4, 4^2, 4^3, ...)$ which has been derived by Shapiro, Woan and Getu by using Riordan arrays. By giving a bijection between weighted partial Motzkin paths with an elevation line and weighted free Motzkin paths, we find a matrix identity on the number of ...
William Y. C. Chen +3 more
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The Q0-matrix completion problem [PDF]
Arab Journal of Mathematical Sciences, 2021 A matrix is a Q0-matrix if for every k∈{1,2,…,n}, the sum of all k×k principal minors is nonnegative. In this paper, we study some necessary and sufficient conditions for a digraph to have Q0-completion. Later on we discuss the relationship between Q and
Kalyan Sinha
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Partial Order in Matrix Nearrings [PDF]
Bulletin of the Iranian Mathematical Society, 2022 AbstractLet N be a zero-symmetric (right) nearring with identity. We introduce a partial order in the matrix nearring corresponding to the partial order (defined by Pilz in Near-rings: the theory and its applications, North Holland, Amsterdam, 1983) in N. A positive cone in a matrix nearring is defined and a characterization theorem is obtained.
Tapatee Sahoo +4 more
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