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 |
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Pages (from-to) | 772-792 |
Number of pages | 21 |
Journal | SIAM Journal on Matrix Analysis and Applications |
Volume | 22 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2000 Oct |
Externally published | Yes |
Keywords
- Constant rank
- Orthonormal factorizations
- Periodic matrices
ASJC Scopus subject areas
- Analysis