Diagonally dominant matrix

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1

Optional homework #1 (1) Study and summarize Davidson’s algorithm of determining the few lowest eigenvalues of a large matrix. Why is it essential for the matrix to be diagonally dominant for this algorithm to work wel

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Source URL: www.scs.illinois.edu

- Date: 2015-01-26 13:04:43
    2Numerical linear algebra / Jacobi method / GaussSeidel method / Iterative method / Diagonally dominant matrix / Numerical analysis / System of linear equations / Gaussian elimination / PROPT / Relaxation

    578 CHAPTER 10 NUMERICAL METHODS

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    Source URL: college.cengage.com

    Language: English - Date: 2008-06-26 22:39:54
    3Mathematics / Diagonal matrix / Nonnegative matrix / Matrix / Diagonally dominant matrix / Algebra / Linear algebra / Matrices

    c Applied Mathematics E-Notes, [removed]), 11-18 Available free at mirror sites of http://www.math.nthu.edu.tw/∼amen/ ISSN[removed]

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    Source URL: www.math.nthu.edu.tw

    Language: English - Date: 2009-12-04 21:12:51
    4Matrices / Matrix theory / Matrix / Symmetric matrix / Diagonalizable matrix / Nonnegative matrix / Eigenvalues and eigenvectors / Diagonally dominant matrix / Eigendecomposition of a matrix / Algebra / Linear algebra / Mathematics

    On the Stability of P -Matrices A. Kevin Tang California Institute of Technology Alp Simsek Asuman Ozdaglar

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    Source URL: authors.library.caltech.edu

    Language: English - Date: 2012-12-26 09:14:22
    5Numerical linear algebra / Sparse matrices / Matrices / Diagonally dominant matrix / LU decomposition / Sparse matrix / Rank / Matrix / Preconditioner / Algebra / Linear algebra / Mathematics

    SIAM J. SCI. COMPUT. Vol. 29, No. 5, pp. 2115–2143 c 2007 Society for Industrial and Applied Mathematics 

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    Source URL: neumann.math.tufts.edu

    Language: English - Date: 2008-01-24 10:59:41
    6Numerical linear algebra / Sparse matrices / Matrices / Diagonally dominant matrix / LU decomposition / Sparse matrix / Rank / Matrix / Preconditioner / Algebra / Linear algebra / Mathematics

    SIAM J. SCI. COMPUT. Vol. 29, No. 5, pp. 2115–2143 c 2007 Society for Industrial and Applied Mathematics 

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    Source URL: neumann.math.tufts.edu

    Language: English - Date: 2008-01-24 10:59:41
    7Matrices / Numerical linear algebra / Diagonal matrix / Matrix / Diagonally dominant matrix / Invertible matrix / Triangular matrix / LU decomposition / Permutation matrix / Algebra / Linear algebra / Mathematics

    GENERALIZATIONS OF DIAGONAL DOMINANCE IN MATRIX THEORY

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    Source URL: www.math.wsu.edu

    Language: English - Date: 2003-02-11 11:21:24
    8Matrix theory / Matrices / Numerical linear algebra / Sparse matrices / Diagonally dominant matrix / Invertible matrix / Diagonal matrix / Matrix / Determinant / Algebra / Linear algebra / Mathematics

    Doubly Diagonally Dominant Matrices Bishan Li and M. J. Tsatsomeros* Department of Mathematics

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    Source URL: www.math.wsu.edu

    Language: English - Date: 2011-04-01 16:10:56
    9Matrix theory / Matrices / Perron–Frobenius theorem / Gershgorin circle theorem / Matrix / Determinant / Symmetric matrix / Diagonally dominant matrix / Trace / Algebra / Linear algebra / Mathematics

    Linear and Multilinear Algebra, 1977, Vol. 5, pp[removed] © Gordon and Breach Science Publishers Ltd., 1977 Printed in Great Britain

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    Source URL: www.math.wisc.edu

    Language: English - Date: 2009-08-10 22:20:17
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