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Arnoldi iteration
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1	PARALLEL KRYLOV SOLVERS FOR THE POLYNOMIAL EIGENVALUE PROBLEM IN SLEPc∗ CARMEN CAMPOS† AND JOSE E. ROMAN† Abstract. Polynomial eigenvalue problems are often found in scientific computing applications. When the coef Add to Reading List Source URL: users.dsic.upv.es Language: English - Date: 2015-05-20 08:54:40 Algebra Linear algebra Mathematics Numerical linear algebra Matrix theory Spectral theory SLEPc Eigenvalues and eigenvectors Arnoldi iteration Nonlinear eigenproblem Generalized minimal residual method Matrix
2	Efficiency of general Krylov methods on GPUs – An experimental study Hartwig Anzt, Jack Dongarra University of Tennessee Knoxville, TN, USA {hanzt,dongarra}@icl.utk.edu Add to Reading List Source URL: icl.cs.utk.edu Language: English - Date: 2016-04-04 12:47:33 Numerical linear algebra Krylov subspace Generalized minimal residual method Iterative method Biconjugate gradient stabilized method Preconditioner Matrix Lis Sparse matrix Conjugate gradient method IML++ Arnoldi iteration
3	DELFT UNIVERSITY OF TECHNOLOGY REPORTComputational and Sensitivity Aspects of Eigenvalue-Based Methods for the Large-Scale Trust-Region Subproblem Marielba Rojas, Bjørn H. Fotland, and Trond Steihaug Add to Reading List Source URL: www.ewi.tudelft.nl Language: English - Date: 2012-03-08 04:45:37 Mathematics Eigenvalues and eigenvectors Eigenvalue algorithm Preconditioner QR algorithm Lanczos algorithm Regularization Arnoldi iteration Eigendecomposition of a matrix Algebra Linear algebra Numerical linear algebra
4	#240 Scalable bifurcation analysis algorithms for large parallel applications Andrew G. Salinger a,Ł , Roger P. Pawlowski a , Louis A. Romero b a Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2001-12-20 15:48:40 Bifurcation theory Arnoldi iteration Pitchfork bifurcation Eigenvalue algorithm Eigenvalues and eigenvectors Numerical continuation Algebra Mathematics Numerical linear algebra
5	Massively parallel linear stability analysis with P ARPACK for 3D uid ow modeled with MPSalsa? R.B. Lehoucq1 and A. G. Salinger1 Sandia National Laboratories?? P.O. Box 5800, MS 1110 Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2001-12-20 15:48:34 Mathematics Arnoldi iteration Generalized minimal residual method Krylov subspace Eigenvalue algorithm Eigenvalues and eigenvectors Iterative method Matrix ARPACK Algebra Numerical linear algebra Linear algebra
6	Large Scale Eigenvalue Calculations for Computing the Stability of Buoyancy Driven Flows E. A. Burroughs†‡ , L. A. Romero† , R. B. Lehoucq† , and A. G. Salinger† † Sandia National Laboratories, Albuquerque N Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2001-12-20 15:48:33 Numerical analysis Arnoldi iteration Eigenvalue algorithm Eigenvalues and eigenvectors Partial differential equation Preconditioner Fluid dynamics Krylov subspace Navier–Stokes equations Mathematics Algebra Numerical linear algebra
7	-1 of 16File=Aiche_00_bif.mk Andrew Salinger:9221::Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under Contract DE-AC04- Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2001-12-20 15:48:25 Calculus Pitchfork bifurcation Hopf bifurcation Stability theory Jacobian matrix and determinant Arnoldi iteration Numerical continuation Bifurcation theory Mathematics Mathematical analysis
8	Beyond Standard Krylov Subspace Methods – Desirable Features for Scientific Software – Andreas Frommer Bergische Universit¨at Wuppertal Add to Reading List Source URL: www.nesc.ac.uk Language: English - Date: 2010-06-25 04:07:17 Mathematics Krylov subspace Generalized minimal residual method Iterative method Portable Extensible Toolkit for Scientific Computation Inner product space Biconjugate gradient method Arnoldi iteration Numerical linear algebra Algebra Linear algebra
9	Graph eigenvalues and connectivity Keith Briggs http://research.btexact.com/teralab/keithbriggs.htmlJuly Add to Reading List Source URL: keithbriggs.info Language: English - Date: 2005-07-05 13:03:06 Numerical linear algebra Algebraic graph theory Matrix theory Matrices Adjacency matrix Eigenvalues and eigenvectors QR decomposition Laplacian matrix Arnoldi iteration Algebra Mathematics Linear algebra
10	Electronic Transactions on Numerical Analysis Volume 7, 1998 Contents 1 Error estimation of the Pad´e approximation of transfer functions via the Lanczos Add to Reading List Source URL: www.emis.de Language: English - Date: 1999-12-31 11:35:00 Linear algebra Arnoldi iteration Preconditioner Henk van der Vorst Power iteration Inverse iteration Eigenvalue algorithm Lanczos algorithm Rayleigh quotient iteration Algebra Numerical linear algebra Mathematics