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    SIAMMAX
    2010
    104views more  SIAMMAX 2010»
    Rigorous Perturbation Bounds of Some Matrix Factorizations
    12 years 11 months ago
    Rigorous Perturbation Bounds of Some Matrix Factorizations
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    This article presents rigorous normwise perturbation bounds for the Cholesky, LU and QR factorizations with normwise or componentwise perturbations in the given matrix. The conside...
    Xiao-Wen Chang, Damien Stehlé
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    SIAMMAX
    2010
    111views more  SIAMMAX 2010»
    Stochastic Galerkin Matrices
    12 years 11 months ago
    Stochastic Galerkin Matrices
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    We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random co...
    Oliver G. Ernst, Elisabeth Ullmann
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    SIAMMAX
    2010
    105views more  SIAMMAX 2010»
    Construction of Covariance Matrices with a Specified Discrepancy Function Minimizer, with Application to Factor Analysis
    12 years 11 months ago
    Construction of Covariance Matrices with a Specified Discrepancy Function Minimizer, with Application to Factor Analysis
    Download  www.optimization-online.org
    The main goal of this paper is to develop a numerical procedure for construction of covariance matrices such that for a given covariance structural model and a discrepancy function...
    So Yeon Chun, A. Shapiro
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    SIAMMAX
    2010
    113views more  SIAMMAX 2010»
    Approximate Nullspace Iterations for KKT Systems
    12 years 11 months ago
    Approximate Nullspace Iterations for KKT Systems
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    The aim of the paper is to provide a theoretical basis for approximate reduced SQP methods. In contrast to inexact reduced SQP methods, the forward and the adjoint problem accuraci...
    Kazufumi Ito, Karl Kunisch, Volker Schulz, Ilia Gh...
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    SIAMMAX
    2010
    116views more  SIAMMAX 2010»
    Acquired Clustering Properties and Solution of Certain Saddle Point Systems
    12 years 11 months ago
    Acquired Clustering Properties and Solution of Certain Saddle Point Systems
    Download  www.dm.unibo.it
    Many mathematical models involve flow equations characterized by nonconstant viscosity, and a Stokes type problem with variable viscosity coefficient arises. Appropriate block diag...
    M. A. Olshanskii, V. Simoncini
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    SIAMMAX
    2010
    123views more  SIAMMAX 2010»
    Joint Spectral Characteristics of Matrices: A Conic Programming Approach
    12 years 11 months ago
    Joint Spectral Characteristics of Matrices: A Conic Programming Approach
    Download  www.inma.ucl.ac.be
    We propose a new approach to estimate the joint spectral radius and the joint spectral subradius of an arbitrary set of matrices. We first restrict our attention to matrices that ...
    Vladimir Protasov, Raphaël M. Jungers, Vincen...
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    SIAMMAX
    2010
    88views more  SIAMMAX 2010»
    Fiedler Companion Linearizations and the Recovery of Minimal Indices
    12 years 11 months ago
    Fiedler Companion Linearizations and the Recovery of Minimal Indices
    Download  eprints.ma.man.ac.uk
    Fernando de Terán, Froilán M. Dopico...
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    SIAMMAX
    2010
    224views more  SIAMMAX 2010»
    Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
    12 years 11 months ago
    Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
    Download  www.math.purdue.edu
    Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
    Jianlin Xia, Ming Gu
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    SIAMMAX
    2010
    164views more  SIAMMAX 2010»
    Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
    12 years 11 months ago
    Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
    Download  www.math.princeton.edu
    The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
    Amit Singer, Mihai Cucuringu
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    SIAMMAX
    2010
    103views more  SIAMMAX 2010»
    On Chebyshev Polynomials of Matrices
    12 years 11 months ago
    On Chebyshev Polynomials of Matrices
    Download  www.math.tu-berlin.de
    The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
    Vance Faber, Jörg Liesen, Petr Tichý
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