Matrix continued fraction for the resolvent function of the band operator

DOI10.1023/A:1006413306541zbMath1006.30001MaRDI QIDQ1591316

Jeannette Van Iseghem

Publication date: 23 February 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Stieltjes functionsHermite-Padé approximationnonsymmetric difference operatorsvector and matrix continued fractiondirect and inverse spectral problemgenetic sumsvector and matrix orthogonality

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Continued fractions; complex-analytic aspects (30B70) Linear difference operators (47B39) Convergence and divergence of continued fractions (40A15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Application of matrix-valued integral continued fractions to spectral problems on periodic graphs with defects ⋮ On the Hellinger Theorem andl^p-properties of Solutions of Difference Equations ⋮ Characteristic polynomials of random banded Hessenberg matrices and Hermite-Padé approximation ⋮ Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases ⋮ Matrix-valued continued fractions.

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