Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases

The definition, in previous studies, of vector Stieltjes continued fractions in connection with spectral properties of band operators with intermediate zero diagonals, left unsolved the question of a direct definition of their coefficients in terms of the original data, a vector of Stieltjes series....

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 384; pp. 21 - 42
Main Author:	Van Iseghem, Jeannette
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01.06.2004 Elsevier Science
Subjects:	Algebra Algorithmics. Computability. Computer arithmetics Applied sciences Computer science; control theory; systems Exact sciences and technology Hermite–Padé approximants Linear and multilinear algebra, matrix theory Mathematics QD algorithm Sciences and techniques of general use Stieltjes continued fraction Stieltjes series Theoretical computing Stieltjes continued fraction QD algorithm 47B36 41A21 Stieltjes series Hermite–Padé approximants 11J70 30B70 Band matrix Diagonal matrix Series expansion Sparse matrix Inverse transformation Stieltjes transformation Continued fractions
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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