Some Identities of Permanents

Fuzhen Zhang

Some Identities of Permanents

Fuzhen Zhang

Department of Mathematics

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

Abstract

In this paper the author proves some equalities about the permanent of matrices under some conditions. For example, he proves that per(AX)=per(A)per(X) for A≥0 and all X≥0 if and only if A has a zero column or zero row.

Original language	American English
Journal	Mathematics in Practice and Theory
State	Published - Jan 1 1989

Disciplines

Mathematics

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title = "Some Identities of Permanents",

abstract = " In this paper the author proves some equalities about the permanent of matrices under some conditions. For example, he proves that per(AX)=per(A)per(X) for A≥0 and all X≥0 if and only if A has a zero column or zero row.",

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language = "American English",

journal = "Mathematics in Practice and Theory",

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AU - Zhang, Fuzhen

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N2 - In this paper the author proves some equalities about the permanent of matrices under some conditions. For example, he proves that per(AX)=per(A)per(X) for A≥0 and all X≥0 if and only if A has a zero column or zero row.

AB - In this paper the author proves some equalities about the permanent of matrices under some conditions. For example, he proves that per(AX)=per(A)per(X) for A≥0 and all X≥0 if and only if A has a zero column or zero row.

UR - https://nsuworks.nova.edu/math_facarticles/109

M3 - Article

JO - Mathematics in Practice and Theory

JF - Mathematics in Practice and Theory

ER -

Some Identities of Permanents

Abstract

Disciplines

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