Open AccessAlgorithms for Solvents of Matrix Polynomials
Author(s) -
J. E. Dennis,
J. F. Traub,
R. P. Weber
Publication year - 1978
Publication title -
siam journal on numerical analysis
Language(s) - English
Resource type - Journals
eISSN - 1095-7170
pISSN - 0036-1429
DOI - 10.1137/0715034
Subject(s) - mathematics , convergence (economics) , matrix (chemical analysis) , algebraic number , algebra over a field , algorithm , pure mathematics , mathematical analysis , materials science , composite material , economics , economic growth
In an earlier paper we developed the algebraic theory of matrix polynomials. Here we introduce two algorithms for computing “dominant” solvents. Global convergence of the algorithms under certain conditions is established.
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