Results 1 to 10 of about 9,160 (266)
Angular factorization of matrices
Journal of Mathematical Analysis and Applications, 1982 AbstractLet Q denote a selfadjoint matrix (or operator of finite rank). The factorization of I + Q into the form I + Q = (I − W) D(I − W∗) is considered. The well-known case where W is constrained to be lower triangular while D is diagonal is extended to quadrangular and other generalized-canonical forms.
Porter, William A, DeSantis, Romano M
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spam: A Sparse Matrix R Package with Emphasis on MCMC Methods for Gaussian Markov Random Fields
Journal of Statistical Software, 2010 spam is an R package for sparse matrix algebra with emphasis on a Cholesky factorization of sparse positive definite matrices. The implemantation of spam is based on the competing philosophical maxims to be competitively fast compared to existing tools ...
Reinhard Furrer, Stephan R. Sain
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Nilpotent factorization of matrices [PDF]
Linear and Multilinear Algebra, 1992 We show that, with the exception of 2 × 2 nonzero nilpotent matrices, every singular square matrix over an arbitrary field is a product of two nilpotent matrices.
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Characterizing Variability of Modular Brain Connectivity with Constrained Principal Component Analysis. [PDF]
PLoS ONE, 2016 Characterizing the variability of resting-state functional brain connectivity across subjects and/or over time has recently attracted much attention.
Jun-Ichiro Hirayama +4 more
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Holomorphic Factorization of Matrices of Polynomials [PDF]
, 1999 This paper considers some work done by the author and Catlin [CD1,CD2,CD3] concerning positivity conditions for bihomogeneous polynomials and metrics on bundles over certain complex manifolds. It presents a simpler proof of a special case of the main result in [CD3], providing also a self-contained proof of a generalization of the main result from [CD1]
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Bidiagonal Factorizations of Filbert and Lilbert Matrices
AxiomsExtensions of Filbert and Lilbert matrices are addressed in this work. They are reciprocal Hankel matrices based on Fibonacci and Lucas numbers, respectively, and both are related to Hilbert matrices.
Yasmina Khiar +4 more
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Evaluation of Partial Factorization for Reduction of Finite Element Matrices
Engineering Transactions, 2017 In this paper, we present the concept of Partial Factorization [1] And discuss its possible applications to the Finite Element method. We consider: (1) reduction of the element tangent matrix, which is particularly important for mixed/enhanced elements ...
Pawel JARZĘBSKI, Krzysztof WIŚNIEWSKI
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On the matrix of rank one over a UFD [PDF]
Journal of Hyperstructures, 2016 In this paper we characterize all matrices of rank one over a unique factorization domain (UFD). Also we find the Rmodule generated by the rows and the R-module generated by the columns of a matrix of rank one and assert some properties of them.
Somayeh Hadjirezaei, Somayeh Karimzadeh
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Factorization identities and algebraic Bethe ansatz for D 2 2 $$ {D}_2^{(2)} $$ models
Journal of High Energy Physics, 2021 We express D 2 2 $$ {D}_2^{(2)} $$ transfer matrices as products of A 1 1 $$ {A}_1^{(1)} $$ transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ...
Rafael I. Nepomechie, Ana L. Retore
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A finite-difference method for linearization in nonlinear estimation algorithms [PDF]
Modeling, Identification and Control, 1998 Linearizations of nonlinear functions that are based on Jacobian matrices often cannot be applied in practical applications of nonlinear estimation techniques. An alternative linearization method is presented in this paper.
Tor S. Schei
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