On a subclass of P0

Sy Ming Guu; Richard W. Cottle

doi:10.1016/0024-3795(93)00271-Z

On a subclass of P₀

Sy Ming Guu^*
, Richard W. Cottle

^*Corresponding author for this work

Yuan Ze University
Stanford University

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

27 Scopus citations

Abstract

In 1966, Fiedler and Pták wrote the first systematic investigation of the matrix class P₀ consisting of all real square matrices with nonnegative principal minors. In this note, we focus on a particular subclass of P₀ that has arisen within the field of linear complementarity theory, namely the class SU of sufficient matrices. Our principal result is that SU contains another class, P_*. We conjecture that the latter two classes are in fact the same.

Original language	English
Pages (from-to)	325-335
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	223-224
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(93)00271-Z
State	Published - 07 1995
Externally published	Yes

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title = "On a subclass of P0",

abstract = "In 1966, Fiedler and Pt{\'a}k wrote the first systematic investigation of the matrix class P0 consisting of all real square matrices with nonnegative principal minors. In this note, we focus on a particular subclass of P0 that has arisen within the field of linear complementarity theory, namely the class SU of sufficient matrices. Our principal result is that SU contains another class, P*. We conjecture that the latter two classes are in fact the same.",

author = "Guu, \{Sy Ming\} and Cottle, \{Richard W.\}",

year = "1995",

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AU - Guu, Sy Ming

AU - Cottle, Richard W.

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N2 - In 1966, Fiedler and Pták wrote the first systematic investigation of the matrix class P0 consisting of all real square matrices with nonnegative principal minors. In this note, we focus on a particular subclass of P0 that has arisen within the field of linear complementarity theory, namely the class SU of sufficient matrices. Our principal result is that SU contains another class, P*. We conjecture that the latter two classes are in fact the same.

AB - In 1966, Fiedler and Pták wrote the first systematic investigation of the matrix class P0 consisting of all real square matrices with nonnegative principal minors. In this note, we focus on a particular subclass of P0 that has arisen within the field of linear complementarity theory, namely the class SU of sufficient matrices. Our principal result is that SU contains another class, P*. We conjecture that the latter two classes are in fact the same.

UR - https://www.scopus.com/pages/publications/21844492992

U2 - 10.1016/0024-3795(93)00271-Z

DO - 10.1016/0024-3795(93)00271-Z

M3 - 文章

AN - SCOPUS:21844492992

SN - 0024-3795

VL - 223-224

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EP - 335

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

On a subclass of P₀

Abstract

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