A Rayleigh quotient minimization algorithm based on algebraic multigrid Export

@article{citeulike:3385606, abstract = {This paper presents a new algebraic extension of the Rayleigh quotient multigrid (RQMG) minimization algorithm to compute the smallest eigenpairs of a symmetric positive definite pencil (A, M). Earlier versions of RQMG minimize the Rayleigh quotient over a hierarchy of geometric grids. We replace the geometric mesh information with the algebraic information defined by an algebraic multigrid preconditioner. At each level, we minimize the Rayleigh quotient with a block preconditioned algorithm. Numerical experiments illustrate the efficiency of this new algorithm to compute several eigenpairs. Copyright {\copyright} 2007 John Wiley \& Sons, Ltd.}, address = {Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185, U.S.A.}, author = {Hetmaniuk, U.}, citeulike-article-id = {3385606}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/nla.545}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/114291826/ABSTRACT}, doi = {10.1002/nla.545}, journal = {Numerical Linear Algebra with Applications}, number = {7}, pages = {563--580}, posted-at = {2008-10-08 09:06:22}, priority = {5}, title = {A Rayleigh quotient minimization algorithm based on algebraic multigrid}, url = {http://dx.doi.org/10.1002/nla.545}, volume = {14}, year = {2007} }

TY - JOUR ID - citeulike:3385606 L3 - citeulike-article-id:3385606 N2 - This paper presents a new algebraic extension of the Rayleigh quotient multigrid (RQMG) minimization algorithm to compute the smallest eigenpairs of a symmetric positive definite pencil (A, M). Earlier versions of RQMG minimize the Rayleigh quotient over a hierarchy of geometric grids. We replace the geometric mesh information with the algebraic information defined by an algebraic multigrid preconditioner. At each level, we minimize the Rayleigh quotient with a block preconditioned algorithm. Numerical experiments illustrate the efficiency of this new algorithm to compute several eigenpairs. Copyright © 2007 John Wiley & Sons, Ltd. IS - 7 JF - Numerical Linear Algebra with Applications AD - Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185, U.S.A. EP - 580 TI - A Rayleigh quotient minimization algorithm based on algebraic multigrid VL - 14 SP - 563 AU - Hetmaniuk, U PY - 2007/// UR - http://dx.doi.org/10.1002/nla.545 ER -