Smoothness and periodicity of some matrix decompositions

Jann Long Chern; Luca Dieci

doi:10.1137/S0895479899353622

Smoothness and periodicity of some matrix decompositions

Jann Long Chern^*, Luca Dieci

^*Corresponding author for this work

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

28 Citations (Scopus)

Abstract

In this work we consider smooth orthonormal factorizations of smooth matrix-valued functions of constant rank. In particular, we look at Schur, singular value, and related decompositions. Furthermore, we consider the case in which the functions are periodic and study periodicity of the factors. We allow for eigenvalues and singular values to coalesce.

Original language	English
Pages (from-to)	772-792
Number of pages	21
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	22
Issue number	3
DOIs	https://doi.org/10.1137/S0895479899353622
Publication status	Published - 2000 Oct
Externally published	Yes

Keywords

Constant rank
Orthonormal factorizations
Periodic matrices

ASJC Scopus subject areas

Analysis

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10.1137/S0895479899353622

Cite this

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AU - Dieci, Luca

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KW - Orthonormal factorizations

KW - Periodic matrices

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ER -

Smoothness and periodicity of some matrix decompositions

Abstract

Keywords

ASJC Scopus subject areas

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