Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Vecharynski, Eugene"'
Autor:
Vecharynski, Eugene, Knyazev, Andrew
Publikováno v:
Linear Algebra and its Applications, Volume 511, 15 December 2016, Pages 274-295
This paper addresses the question of what exactly is an analogue of the preconditioned steepest descent (PSD) algorithm in the case of a symmetric indefinite system with an SPD preconditioner. We show that a basic PSD-like scheme for an SPD-precondit
Externí odkaz:
http://arxiv.org/abs/1609.05407
Autor:
Vecharynski, Eugene, Yang, Chao
We describe preconditioned iterative methods for estimating the number of eigenvalues of a Hermitian matrix within a given interval. Such estimation is useful in a number of applications.In particular, it can be used to develop an efficient spectrum-
Externí odkaz:
http://arxiv.org/abs/1602.02306
Polynomial filtering can provide a highly effective means of computing all eigenvalues of a real symmetric (or complex Hermitian) matrix that are located in a given interval, anywhere in the spectrum. This paper describes a technique for tackling thi
Externí odkaz:
http://arxiv.org/abs/1512.08135
Autor:
Vecharynski, Eugene
We prove a Saad's type bound for harmonic Ritz vectors of a Hermitian matrix. The new bound reveals a dependence of the harmonic Rayleigh--Ritz procedure on the condition number of a shifted problem operator. Several practical implications are discus
Externí odkaz:
http://arxiv.org/abs/1512.01584
Autor:
Jones, Jeremiah R., Rouet, Francois-Henry, Lawler, Keith V., Vecharynski, Eugene, Ibrahim, Khaled Z., Williams, Samuel, Abeln, Brant, Yang, Chao, Haxton, Daniel J., McCurdy, C. William, Li, Xiaoye S., Rescigno, Thomas N.
The method of McCurdy, Baertschy, and Rescigno, J. Phys. B, 37, R137 (2004) is generalized to obtain a straightforward, surprisingly accurate, and scalable numerical representation for calculating the electronic wave functions of molecules. It uses a
Externí odkaz:
http://arxiv.org/abs/1507.03324
We introduce the Generalized Preconditioned Locally Harmonic Residual (GPLHR) method for solving standard and generalized non-Hermitian eigenproblems. The method is particularly useful for computing a subset of eigenvalues, and their eigen- or Schur
Externí odkaz:
http://arxiv.org/abs/1506.06829
We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the form $T(\lambda)v=0$ that admit a variational characterization of eigenvalues. These problems arise in a variety of applications and are generalizations of lin
Externí odkaz:
http://arxiv.org/abs/1504.02811
Autor:
Vecharynski, Eugene, Knyazev, Andrew
Publikováno v:
SIAM Journal on Scientific Computing 37 (5), S3-S29, 2015
We propose a Preconditioned Locally Harmonic Residual (PLHR) method for computing several interior eigenpairs of a generalized Hermitian eigenvalue problem, without traditional spectral transformations, matrix factorizations, or inversions. PLHR is b
Externí odkaz:
http://arxiv.org/abs/1408.0042
We present an iterative algorithm for computing an invariant subspace associated with the algebraically smallest eigenvalues of a large sparse or structured Hermitian matrix A. We are interested in the case in which the dimension of the invariant sub
Externí odkaz:
http://arxiv.org/abs/1407.7506
Autor:
Vecharynski, Eugene, Saad, Yousef
This paper discusses a few algorithms for updating the approximate Singular Value Decomposition (SVD) in the context of information retrieval by Latent Semantic Indexing (LSI) methods. A unifying framework is considered which is based on Rayleigh-Rit
Externí odkaz:
http://arxiv.org/abs/1310.2008