Results 21 to 30 of about 1,075 (62)
The Sinkhorn-Knopp algorithm : convergence and applications [PDF]
, 2008 As long as a square nonnegative matrix A contains sufficient nonzero elements, then the Sinkhorn-Knopp algorithm can be used to balance the matrix, that is, to find a diagonal scaling of A that is doubly stochastic.
Kruithof R., Philip A. Knight
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Shrinkage Function And Its Applications In Matrix Approximation
, 2017 The shrinkage function is widely used in matrix low-rank approximation, compressive sensing, and statistical estimation. In this article, an elementary derivation of the shrinkage function is given. In addition, applications of the shrinkage function are
Boas, Toby +4 more
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Computing the smallest singular triplets of a large matrix
Results in Applied Mathematics, 2019 In this paper we present a new type of restarted Krylov methods for calculating the smallest singular triplets of a large sparse matrix, A. The new framework avoids the Lanczos bidiagonalization process and the use of polynomial filtering.
Achiya Dax
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THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić.
XIN LIANG, REN-CANG LI
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Variable-step finite difference schemes for the solution of Sturm-Liouville problems
, 2014 We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques.
Amodio, Pierluigi, Settanni, Giuseppina
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A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems [PDF]
, 2018 In this paper, two efficient iterative algorithms based on the simpler GMRES method are proposed for solving shifted linear systems. To make full use of the shifted structure, the proposed algorithms utilizing the deflated restarting strategy and ...
Gu, Xian-Ming, Zhong, Hong-Xiu
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The smallest singular value anomaly: The reasons behind sharp anomaly
Special MatricesLet AA be an arbitrary matrix in which the number of rows, mm, is considerably larger than the number of columns, nn. Let the submatrix Ai,i=1,…,m{A}_{i},\hspace{0.33em}i=1,\ldots ,m, be composed from the first ii rows of AA, and let βi{\beta }_{i ...
Dax Achiya
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Block diagonalization of (p, q)-tridiagonal matrices
Special MatricesIn this article, we study the block diagonalization of (p,q)\left(p,q)-tridiagonal matrices and derive closed-form expressions for the number and structure of diagonal blocks as functions of the parameters pp, qq, and nn. This reduction enables efficient
Manjunath Hariprasad
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M-tensors and The Positive Definiteness of a Multivariate Form [PDF]
, 2012 We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector.
Qi, Liqun, Zhang, Liping, Zhou, Guanglu
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Recurrence relation for the 6j-symbol of su_q(2) as a symmetric eigenvalue problem
, 2015 A well known recurrence relation for the 6j-symbol of the quantum group su_q(2) is realized as a tridiagonal, symmetric eigenvalue problem. This formulation can be used to implement an efficient numerical evaluation algorithm, taking advantage of ...
Anderson E. +3 more
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