Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model

Shuangzhe Liu; Heinz Neudecker

doi:10.1016/S0024-3795(96)00284-4

Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model

Shuangzhe Liu
, Heinz Neudecker

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

3 Citations (Scopus)

Abstract

Matrix Kantorovich inequalities involving two positive semidefinite matrices are presented. Corresponding Cauchy-Schwarz inequalities are discussed. Some of these are used to compare several efficient and inefficient estimators for a singular linear model.

Original language	English
Pages (from-to)	209-221
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	259
Issue number	1
DOIs	https://doi.org/10.1016/S0024-3795(96)00284-4
Publication status	Published - 1 Jul 1997
Externally published	Yes

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title = "Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model",

abstract = "Matrix Kantorovich inequalities involving two positive semidefinite matrices are presented. Corresponding Cauchy-Schwarz inequalities are discussed. Some of these are used to compare several efficient and inefficient estimators for a singular linear model.",

author = "Shuangzhe Liu and Heinz Neudecker",

year = "1997",

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doi = "10.1016/S0024-3795(96)00284-4",

language = "English",

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T1 - Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model

AU - Liu, Shuangzhe

AU - Neudecker, Heinz

PY - 1997/7/1

Y1 - 1997/7/1

N2 - Matrix Kantorovich inequalities involving two positive semidefinite matrices are presented. Corresponding Cauchy-Schwarz inequalities are discussed. Some of these are used to compare several efficient and inefficient estimators for a singular linear model.

AB - Matrix Kantorovich inequalities involving two positive semidefinite matrices are presented. Corresponding Cauchy-Schwarz inequalities are discussed. Some of these are used to compare several efficient and inefficient estimators for a singular linear model.

UR - https://www.scopus.com/pages/publications/0040560504

U2 - 10.1016/S0024-3795(96)00284-4

DO - 10.1016/S0024-3795(96)00284-4

M3 - Article

AN - SCOPUS:0040560504

SN - 0024-3795

VL - 259

SP - 209

EP - 221

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model

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