Title
Matrix orthogonal Laurent polynomials and two-point Padé approximants
Abstract
This paper is concerned with double sequences={} of Hermitian matrices with complex entries∈) and formal Laurent series()=−Σ and()=Σ. Making use of a Favard-type theorem for certain sequences of matrix Laurent polynomials which was obtained previously in [1] we can establish the relation between the matrix counterpart of the so-called-fractions and matrix orthogonal Laurent polynomials. The connection with two-point Padé approximants to the pair (,) is also exhibited proving that such approximants are Hermitian too. Finally, error formulas are also given.
Year
DOI
Venue
1992
10.1007/BF02141929
Numerical Algorithms
Keywords
Field
DocType
AMS 15,41,Orthogonal polynomials,Laurent polynomials,T,-fractions,Padé approximants
Combinatorics,Polynomial matrix,Padé approximant,Polynomial,Matrix (mathematics),Laurent series,Matrix exponential,Hermitian matrix,Laurent polynomial,Mathematics
Journal
Volume
Issue
ISSN
3
1
1572-9265
Citations 
PageRank 
References 
1
0.35
0
Authors
3
Name
Order
Citations
PageRank
Concepción González-Concepción153.50
P. González-Vera2469.45
E. Hendriksen3245.67