Title: Newton-like iteration based on a cubic polynomial for structured matrices
Authors: Codevico, Gianni ×
Pan, VY
Van Barel, Marc #
Issue Date: Aug-2004
Publisher: Kluwer academic publ
Series Title: Numerical algorithms vol:36 issue:4 pages:365-380
Abstract: We recall Newton's iteration for computing the inverse or Moore-Penrose generalized inverse of a matrix. Then we specialize this approach to the case of structured matrices where all input, output and intermediate auxiliary matrices are represented in a compressed form, via their short displacement generators. We design a new Newton-like iteration based on a cubic polynomial and show its effectiveness by some numerical experiments for matrices from the Toeplitz-like class and the Cauchy-like class.
ISSN: 1017-1398
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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