Explicit factorization of the Vandermonde matrix

H  Oruc; G M  Phillips

Explicit factorization of the Vandermonde matrix

H Oruc
, G M Phillips

Applied Mathematics

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

Abstract

The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.

Original language	English
Pages (from-to)	113-123
Number of pages	11
Journal	Linear Algebra and its Applications
Volume	315
Publication status	Published - 15 Aug 2000

Keywords

Vandermonde matrix
symmetric function
triangular and l-banded factorization
SYSTEMS
ALGORITHMS

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title = "Explicit factorization of the Vandermonde matrix",

abstract = "The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.",

keywords = "Vandermonde matrix, symmetric function, triangular and l-banded factorization, SYSTEMS, ALGORITHMS",

author = "H Oruc and Phillips, \{G M\}",

year = "2000",

month = aug,

day = "15",

language = "English",

volume = "315",

pages = "113--123",

journal = "Linear Algebra and its Applications",

issn = "0024-3795",

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T1 - Explicit factorization of the Vandermonde matrix

AU - Oruc, H

AU - Phillips, G M

PY - 2000/8/15

Y1 - 2000/8/15

N2 - The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.

AB - The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.

KW - Vandermonde matrix

KW - symmetric function

KW - triangular and l-banded factorization

KW - SYSTEMS

KW - ALGORITHMS

M3 - Article

SN - 0024-3795

VL - 315

SP - 113

EP - 123

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

Explicit factorization of the Vandermonde matrix

Abstract

Keywords

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