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Eigenvalue algorithm
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21	MATHPartial solutions to the practice problems for week 6 These are partial solutions to the practice problems for the material discussed in lecture on Wednesday, Oct. 22, 2014. They are not meant to be comple Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2014-10-27 23:31:04 Matrix theory Singular value decomposition Abstract algebra Eigenvalues and eigenvectors Matrix Rayleigh quotient Eigenvalue algorithm Eigendecomposition of a matrix Algebra Linear algebra Mathematics
22	Computational Bifurcation and Stability Studies of the 8:1 Thermal Cavity Problem Andrew G. Salinger1, Richard B. Lehoucq2, Roger P. Pawlowski1, John N. Shadid1 Keywords: Bifurcations, Stability, Eigenvalues, Parallel Co Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2002-06-14 18:33:06 Numerical linear algebra Abstract algebra Numerical analysis Bifurcation theory Eigenvalue algorithm Partial differential equation Preconditioner Matrix Eigenvalues and eigenvectors Algebra Mathematics Linear algebra
23	Eﬃcient parameter estimation and implementation of a contour integral-based eigensolver Tetsuya Sakurai†,‡ , Yasunori Futamura† and Hiroto Tadano† † Department of Computer Science, University of Tsukuba ‡ Add to Reading List Source URL: www.cs.tsukuba.ac.jp Language: English - Date: 2012-11-23 21:59:18 Numerical linear algebra Matrix theory Spectral theory Functional analysis Eigenvalue algorithm Eigenvalues and eigenvectors Spectrum Gaussian quadrature Singular value decomposition Algebra Linear algebra Mathematics
24	Stability Analysis of LargeScale Incompressible Flow Calculations on Massively Parallel Computers Andrew G. Salinger, Richard Lehoucq, and Louis Romero Sandia National Laboratories1 Add to Reading List Source URL: www.cs.sandia.gov Language: English - Date: 2001-12-20 15:48:37 Numerical linear algebra Chemical engineering Stability theory Eigenvalue algorithm Navier–Stokes equations Bifurcation theory Matrix Eigenvalues and eigenvectors Fluid dynamics Algebra Mathematics Aerodynamics
25	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
26	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
27	Accuracy analysis on the Rayleigh-Ritz type of the contour integral based eigensolver for solving generalized eigenvalue problems Akira Imakura1,* , Lei Du2 , and Tetsuya Sakurai1,3 1 Add to Reading List Source URL: www.cs.tsukuba.ac.jp Language: English - Date: 2014-05-30 00:58:32 Abstract algebra Numerical linear algebra Matrix theory Eigenvalue algorithm Eigenvalues and eigenvectors Vector space Lp space Weight Algebra Mathematics Linear algebra
28	Eigenvalues and Eigenvectors If A is an n by n real-valued matrix we say that λ is an eigenvalue of A with associated eigenvector x if Ax=λx Typically, a matrix A will have several diﬀerent eigenvalue, eigenvector pa Add to Reading List Source URL: www.directmath.com Language: English - Date: 2013-03-15 15:25:25 Matrix theory Singular value decomposition Numerical linear algebra Matrices Eigenvalues and eigenvectors Symmetric matrix Matrix Eigendecomposition of a matrix Eigenvalue algorithm Algebra Linear algebra Mathematics
29	Novel interpretation of contour integral spectral projection methods for solving generalized eigenvalue problems ⋆ Akira Imakura⋆,⋆ , Lei Du⋆,† , Tetsuya Sakurai⋆,† Add to Reading List Source URL: www.cs.tsukuba.ac.jp Language: English - Date: 2013-10-23 09:05:22 Numerical linear algebra Eigenvalue algorithm Eigenvalues and eigenvectors Lanczos algorithm Projection Krylov subspace Matrix Methods of contour integration Integral Algebra Linear algebra Mathematics
30	Spectral Counting of Triangles in Power-Law Networks via Element-Wise Sparsification Charalampos E. Tsourakakis School of Computer Science Carnegie Mellon University 5000 Forbes Avenue, Pittsburgh, PA Add to Reading List Source URL: ccom.uprrp.edu Language: English - Date: 2011-03-02 23:55:07 Linear algebra Matrix theory Adjacency matrix Matrices Eigenvalue algorithm Eigenvalues and eigenvectors Streaming algorithm Algorithm Characteristic polynomial Algebra Mathematics Algebraic graph theory

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