A matrix Kronecker lemma

Brian D.O. Anderson; John B. Moore

doi:10.1016/0024-3795(76)90028-8

A matrix Kronecker lemma

Brian D.O. Anderson^*, John B. Moore

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

We show that a standard tool of probability theory, the Kronecker lemma, has matrix generalizations, but that one of these matrix generalizations is unsatisfactory, to the extent that unless certain extra conditions are placed on the matrix sequence appearing in the lemma statement, the lemma may fail to be true.

Original language	English
Pages (from-to)	227-234
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/0024-3795(76)90028-8
Publication status	Published - 1976
Externally published	Yes

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title = "A matrix Kronecker lemma",

abstract = "We show that a standard tool of probability theory, the Kronecker lemma, has matrix generalizations, but that one of these matrix generalizations is unsatisfactory, to the extent that unless certain extra conditions are placed on the matrix sequence appearing in the lemma statement, the lemma may fail to be true.",

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AU - Anderson, Brian D.O.

AU - Moore, John B.

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AB - We show that a standard tool of probability theory, the Kronecker lemma, has matrix generalizations, but that one of these matrix generalizations is unsatisfactory, to the extent that unless certain extra conditions are placed on the matrix sequence appearing in the lemma statement, the lemma may fail to be true.

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U2 - 10.1016/0024-3795(76)90028-8

DO - 10.1016/0024-3795(76)90028-8

M3 - Article

AN - SCOPUS:30244463407

SN - 0024-3795

VL - 15

SP - 227

EP - 234

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 3

ER -

A matrix Kronecker lemma

Abstract

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