A reduction theorem for the linear complementarity problem with a certain patterned matrix

Ikuyo Kaneko

doi:10.1016/0024-3795(87)90197-2

A reduction theorem for the linear complementarity problem with a certain patterned matrix

Ikuyo Kaneko

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

Abstract

Matrices with a certain pattern are defined and their properties are studied. A reduction theorem is stated and proved which can be used to reduce the size of the linear complementarity problem defined by a matrix with the pattern. The identification of the pattern and the reduction theorem provide a mathematical model for a problem in structural mechanics when a certain symmetry prevails in the structural problem to be analyzed.

Original language	English
Pages (from-to)	13-34
Number of pages	22
Journal	Linear Algebra and Its Applications
Volume	21
Issue number	1
DOIs	https://doi.org/10.1016/0024-3795(87)90197-2
Publication status	Published - 1978 Jul
Externally published	Yes

ASJC Scopus subject areas

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

Access to Document

10.1016/0024-3795(87)90197-2

Cite this

@article{1532fc6cb9ec40298cf45c48310957d3,

title = "A reduction theorem for the linear complementarity problem with a certain patterned matrix",

abstract = "Matrices with a certain pattern are defined and their properties are studied. A reduction theorem is stated and proved which can be used to reduce the size of the linear complementarity problem defined by a matrix with the pattern. The identification of the pattern and the reduction theorem provide a mathematical model for a problem in structural mechanics when a certain symmetry prevails in the structural problem to be analyzed.",

author = "Ikuyo Kaneko",

year = "1978",

month = jul,

doi = "10.1016/0024-3795(87)90197-2",

language = "English",

volume = "21",

pages = "13--34",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - A reduction theorem for the linear complementarity problem with a certain patterned matrix

AU - Kaneko, Ikuyo

PY - 1978/7

Y1 - 1978/7

N2 - Matrices with a certain pattern are defined and their properties are studied. A reduction theorem is stated and proved which can be used to reduce the size of the linear complementarity problem defined by a matrix with the pattern. The identification of the pattern and the reduction theorem provide a mathematical model for a problem in structural mechanics when a certain symmetry prevails in the structural problem to be analyzed.

AB - Matrices with a certain pattern are defined and their properties are studied. A reduction theorem is stated and proved which can be used to reduce the size of the linear complementarity problem defined by a matrix with the pattern. The identification of the pattern and the reduction theorem provide a mathematical model for a problem in structural mechanics when a certain symmetry prevails in the structural problem to be analyzed.

UR - http://www.scopus.com/inward/record.url?scp=49349120949&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49349120949&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(87)90197-2

DO - 10.1016/0024-3795(87)90197-2

M3 - Article

AN - SCOPUS:49349120949

SN - 0024-3795

VL - 21

SP - 13

EP - 34

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

A reduction theorem for the linear complementarity problem with a certain patterned matrix

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this