The two-sided residue interpolation in the stieltjes class for matrix functions

Daniel Alpay; Joseph A. Ball; Israel Gohberg; Leiba Rodman

doi:10.1016/0024-3795(94)90458-8

The two-sided residue interpolation in the stieltjes class for matrix functions

Daniel Alpay, Joseph A. Ball, Israel Gohberg, Leiba Rodman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The general two-sided directional interpolation problem in the Stieltjes class for matrix functions is solved. An explicit description of all solutions is presented in terms of the original data. The method is based on the reduction of this problem to the solution of homogeneous interpolation problems with symmetries for rationalmatrix functions.

Original language	English
Pages (from-to)	485-521
Number of pages	37
Journal	Linear Algebra and Its Applications
Volume	208-209
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(94)90458-8
State	Published - 1 Jan 1994

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(94)90458-8

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title = "The two-sided residue interpolation in the stieltjes class for matrix functions",

abstract = "The general two-sided directional interpolation problem in the Stieltjes class for matrix functions is solved. An explicit description of all solutions is presented in terms of the original data. The method is based on the reduction of this problem to the solution of homogeneous interpolation problems with symmetries for rationalmatrix functions.",

author = "Daniel Alpay and Ball, {Joseph A.} and Israel Gohberg and Leiba Rodman",

year = "1994",

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AU - Alpay, Daniel

AU - Ball, Joseph A.

AU - Gohberg, Israel

AU - Rodman, Leiba

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Y1 - 1994/1/1

N2 - The general two-sided directional interpolation problem in the Stieltjes class for matrix functions is solved. An explicit description of all solutions is presented in terms of the original data. The method is based on the reduction of this problem to the solution of homogeneous interpolation problems with symmetries for rationalmatrix functions.

AB - The general two-sided directional interpolation problem in the Stieltjes class for matrix functions is solved. An explicit description of all solutions is presented in terms of the original data. The method is based on the reduction of this problem to the solution of homogeneous interpolation problems with symmetries for rationalmatrix functions.

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U2 - 10.1016/0024-3795(94)90458-8

DO - 10.1016/0024-3795(94)90458-8

M3 - Article

AN - SCOPUS:43949158647

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VL - 208-209

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EP - 521

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

The two-sided residue interpolation in the stieltjes class for matrix functions

Abstract

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