A permanent inequality for positive semidefinite matrices

Vehbi E. Paksoy

doi:10.13001/ela.2023.7701

A permanent inequality for positive semidefinite matrices

Vehbi E. Paksoy

Department of Mathematics

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

Abstract

In this paper, we prove an inequality involving the permanent of a positive semidefinite matrix and its leading submatrices. We obtain a result in the similar spirit of Bapat–Sunder per-max conjecture.

Original language	American English
Pages (from-to)	71-77
Number of pages	7
Journal	Electronic Journal of Linear Algebra
Volume	39
DOIs	https://doi.org/10.13001/ela.2023.7701
State	Published - Sep 2023

Keywords

Gram matrix
Permanent
Positive semidefinite matrix
Tensor product

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10.13001/ela.2023.7701

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title = "A permanent inequality for positive semidefinite matrices",

abstract = "In this paper, we prove an inequality involving the permanent of a positive semidefinite matrix and its leading submatrices. We obtain a result in the similar spirit of Bapat–Sunder per-max conjecture.",

keywords = "Gram matrix, Permanent, Positive semidefinite matrix, Tensor product",

author = "Paksoy, \{Vehbi E.\}",

year = "2023",

month = sep,

doi = "10.13001/ela.2023.7701",

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pages = "71--77",

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AU - Paksoy, Vehbi E.

PY - 2023/9

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KW - Gram matrix

KW - Permanent

KW - Positive semidefinite matrix

KW - Tensor product

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UR - https://nsuworks.nova.edu/math_facarticles/355/

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DO - 10.13001/ela.2023.7701

M3 - Article

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VL - 39

SP - 71

EP - 77

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

A permanent inequality for positive semidefinite matrices

Abstract

Keywords

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