The relationship of inertias between two representations of linear subspaces

Eladio Ocaña; Luis Flores-Luyo

doi:10.1080/02331934.2019.1598405

The relationship of inertias between two representations of linear subspaces

Eladio Ocaña
, Luis Flores-Luyo

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

Abstract

This work gives complete expressions of inertia of matrices involved in a linear subspace of (Formula presented.) when they are presented in two different ways, specifically, as image and as well as kernel of linear maps.

Original language	English
Pages (from-to)	2421-2430
Number of pages	10
Journal	Optimization
Volume	69
Issue number	11
DOIs	https://doi.org/10.1080/02331934.2019.1598405
State	Published - 1 Nov 2020
Externally published	Yes

Keywords

inertia of a matrix
Linear subspace
monotone sets

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10.1080/02331934.2019.1598405

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title = "The relationship of inertias between two representations of linear subspaces",

abstract = "This work gives complete expressions of inertia of matrices involved in a linear subspace of (Formula presented.) when they are presented in two different ways, specifically, as image and as well as kernel of linear maps.",

keywords = "inertia of a matrix, Linear subspace, monotone sets",

author = "Eladio Oca{\~n}a and Luis Flores-Luyo",

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doi = "10.1080/02331934.2019.1598405",

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N2 - This work gives complete expressions of inertia of matrices involved in a linear subspace of (Formula presented.) when they are presented in two different ways, specifically, as image and as well as kernel of linear maps.

AB - This work gives complete expressions of inertia of matrices involved in a linear subspace of (Formula presented.) when they are presented in two different ways, specifically, as image and as well as kernel of linear maps.

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KW - Linear subspace

KW - monotone sets

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DO - 10.1080/02331934.2019.1598405

M3 - Article

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VL - 69

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JO - Optimization

JF - Optimization

IS - 11

ER -

The relationship of inertias between two representations of linear subspaces

Abstract

Keywords

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