Abstract | ||
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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 |
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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-Concepción | 1 | 5 | 3.50 |
P. González-Vera | 2 | 46 | 9.45 |
E. Hendriksen | 3 | 24 | 5.67 |