Results 51 to 60 of about 160 (114)
On a Variational Formulation of QSVD and RSVD
, 1998 Recently, Chu, Funderlic and Golub [ SIAM J. Matrix Anal. Appl., 18:1082--1092, 1997] presented a variational formulation for the quotient singular value decomposition (QSVD) of two matrices A 2 R n\Thetam ; C 2 R p\Thetam which is a generalization ...
Bart De Moor, Delin Chu
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Extreme Eigenvalues Of Real Symmetric Toeplitz Matrices
, 2000 We exploit the even and odd spectrum of real symmetric Toeplitz matrices for the computation of their extreme eigenvalues, which are obtained as the solutions of spectral, or secular, equations.
A. Melman, A Melman
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Electronic Structure Calculations in Plane-Wave Codes without Diagonalization
, 2007 . We present an algorithm to reduce the computational complexity for plane-wave codes used in electronic structure calculations. Our proposed algorithm avoids the diagonalization of large Hermitian matrices arising in such problems.
Hanchul Kim +3 more
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Computable convergence bounds for GMRES
, 1998 The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
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Preconditioners for ill-conditioned Toeplitz matrices
, 1999 . This paper is concerned with the solution of systems of linear equations ANx = b, where fAN g N2N denotes a sequence of positive definite Hermitian ill--conditioned Toeplitz matrices arising from a (real--valued) nonnegative generating function f 2 ...
Steidl, Gabriele +3 more
core +1 more source
An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem
, 1998 . An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem is presented. The Lanczos vectors are constructed to form a symplectic basis.
Heike Faßbender, Peter Benner
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Sensitivity Analysis of All Eigenvalues of a Symmetric Matrix
, 1995 A(x). Based on Ky Fan's variational formulation of fm and some chain rule from nonsmooth analysis, we derive an explicit formula for the generalized gradient of fm and a computationally useful formula for the directional derivative of fm .
D. Ye +2 more
core +1 more source
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Open Mathematics, 2012 Cortés Vanesa, Peña Juan, Sauer Tomas
doaj +1 more source
Structured Backward Error And Condition Of Generalized Eigenvalue Problems
, 1996 . Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of generalized eigenvalue problems. Both normwise and componentwise measures are used.
Nicholas +2 more
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An eigenvalue localization set for tensors and its applications. [PDF]
J Inequal Appl, 2017 Zhao J, Sang C.
europepmc +1 more source