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

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

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
Externally published	Yes

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

note = "Funding Information: by NSF grant 9101400. by NSF grant 9123841 and by United States-Israel",

year = "1994",

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AU - Alpay, Daniel Aron

AU - Ball, Joseph A.

AU - Gohberg, Israel

AU - Rodman, Leiba

N1 - Funding Information: by NSF grant 9101400. by NSF grant 9123841 and by United States-Israel

PY - 1994/1/1

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

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AN - SCOPUS:43949158647

VL - 208-209

SP - 485

EP - 521

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - C

ER -

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

Abstract

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