Results 11 to 20 of about 4,960,468 (238)
Completion of a partial integral matrix to a unimodular matrix
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
openaire +2 more sources
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
openaire +3 more sources
Matrix Rationalization via Partial Orders
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
openaire +3 more sources
On the completion of a partial integral matrix to a unimodular matrix
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
openaire +3 more sources
Matrix identities on weighted partial Motzkin paths
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
openaire +4 more sources
Clinical performance of resin-matrix ceramic partial coverage restorations: a systematic review
Clinical Oral Investigations, 2022 To evaluate clinical performance of the new CAD/CAM resin-matrix ceramics and compare it with ceramic partial coverage restorations. An electronic search of 3 databases (The National Library of Medicine (MEDLINE/PubMed), Scopus, and the Cochrane Central ...
H. Fathy +3 more
semanticscholar +1 more source
Coded Sparse Matrix Computation Schemes That Leverage Partial Stragglers [PDF]
IEEE Transactions on Information Theory, 2020 Distributed matrix computations over large clusters can suffer from the problem of slow or failed worker nodes (called stragglers) which can dominate the overall job execution time.
A. Das, Aditya Ramamoorthy
semanticscholar +1 more source
Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations
SIAM Journal on Matrix Analysis and Applications, 2016 Fernando De Teran, Froilan M Dopico
exaly +2 more sources
Partial Identifiability for Nonnegative Matrix Factorization
SIAM Journal on Matrix Analysis and Applications, 2023 27 pages, 8 figures, 7 examples. This third version makes minor modifications. Paper accepted in SIAM J.
Nicolas Gillis, Róbert Rajkó
openaire +3 more sources
Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
doaj +1 more source