On the span of Hadamard products of vectors

Li Qiu; Xingzhi Zhan

doi:10.1016/j.laa.2006.10.019

On the span of Hadamard products of vectors

Li Qiu
, Xingzhi Zhan^*

^*Corresponding author for this work

School of Mathematical Sciences

Hong Kong University of Science and Technology

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

12 Scopus citations

Abstract

Let A₁, ..., A_k be positive semidefinite matrices and B₁, ..., B_k arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

Original language	English
Pages (from-to)	304-307
Number of pages	4
Journal	Linear Algebra and Its Applications
Volume	422
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2006.10.019
State	Published - 1 Apr 2007

Keywords

Hadamard product
Range
Span

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10.1016/j.laa.2006.10.019

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title = "On the span of Hadamard products of vectors",

abstract = "Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that\{Mathematical expression\}and\{Mathematical expression\}where \{ring operator\} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.",

keywords = "Hadamard product, Range, Span",

author = "Li Qiu and Xingzhi Zhan",

year = "2007",

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doi = "10.1016/j.laa.2006.10.019",

language = "英语",

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T1 - On the span of Hadamard products of vectors

AU - Qiu, Li

AU - Zhan, Xingzhi

PY - 2007/4/1

Y1 - 2007/4/1

N2 - Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

AB - Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

KW - Hadamard product

KW - Range

KW - Span

UR - https://www.scopus.com/pages/publications/33846652458

U2 - 10.1016/j.laa.2006.10.019

DO - 10.1016/j.laa.2006.10.019

M3 - 文章

AN - SCOPUS:33846652458

SN - 0024-3795

VL - 422

SP - 304

EP - 307

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

On the span of Hadamard products of vectors

Abstract

Keywords

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