Interpolation by polynomials with symmetries

Daniel Alpay; Izchak Lewkowicz

doi:10.1016/j.laa.2012.10.037

Interpolation by polynomials with symmetries

Daniel Alpay, Izchak Lewkowicz

Department of Electrical & Computer Engineering

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

5 Scopus citations

Abstract

We here specialize the standard matrix-valued polynomial interpolation to the case where the interpolating polynomials admit various symmetries. The introduced approach allows for non-convex families of interpolating polynomials. If this family happens to be convex, all minimal degree interpolating polynomials are parameterized.

Original language	English
Pages (from-to)	64-81
Number of pages	18
Journal	Linear Algebra and Its Applications
Volume	456
DOIs	https://doi.org/10.1016/j.laa.2012.10.037
State	Published - 1 Sep 2014

Keywords

Convex cones
Genaralized positive even
Generalized positive functions
Interpolation
Lagrange
Matrix-valued
Polynomial
Structured matrices

ASJC Scopus subject areas

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

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10.1016/j.laa.2012.10.037

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title = "Interpolation by polynomials with symmetries",

abstract = "We here specialize the standard matrix-valued polynomial interpolation to the case where the interpolating polynomials admit various symmetries. The introduced approach allows for non-convex families of interpolating polynomials. If this family happens to be convex, all minimal degree interpolating polynomials are parameterized.",

keywords = "Convex cones, Genaralized positive even, Generalized positive functions, Interpolation, Lagrange, Matrix-valued, Polynomial, Structured matrices",

author = "Daniel Alpay and Izchak Lewkowicz",

year = "2014",

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day = "1",

doi = "10.1016/j.laa.2012.10.037",

language = "English",

volume = "456",

pages = "64--81",

journal = "Linear Algebra and Its Applications",

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T1 - Interpolation by polynomials with symmetries

AU - Alpay, Daniel

AU - Lewkowicz, Izchak

PY - 2014/9/1

Y1 - 2014/9/1

N2 - We here specialize the standard matrix-valued polynomial interpolation to the case where the interpolating polynomials admit various symmetries. The introduced approach allows for non-convex families of interpolating polynomials. If this family happens to be convex, all minimal degree interpolating polynomials are parameterized.

AB - We here specialize the standard matrix-valued polynomial interpolation to the case where the interpolating polynomials admit various symmetries. The introduced approach allows for non-convex families of interpolating polynomials. If this family happens to be convex, all minimal degree interpolating polynomials are parameterized.

KW - Convex cones

KW - Genaralized positive even

KW - Generalized positive functions

KW - Interpolation

KW - Lagrange

KW - Matrix-valued

KW - Polynomial

KW - Structured matrices

UR - http://www.scopus.com/inward/record.url?scp=84903314141&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2012.10.037

DO - 10.1016/j.laa.2012.10.037

M3 - Article

AN - SCOPUS:84903314141

SN - 0024-3795

VL - 456

SP - 64

EP - 81

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Interpolation by polynomials with symmetries

Abstract

Keywords

ASJC Scopus subject areas

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