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

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

Access to Document

10.1016/j.laa.2012.10.037

Cite this

@article{ed41c955693b4dba9959d6224f699aa2,

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",

month = sep,

day = "1",

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

language = "English",

volume = "456",

pages = "64--81",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

}

TY - JOUR

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 - https://www.scopus.com/pages/publications/84903314141

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

Access to Document

Other files and links

Fingerprint

Cite this