TY - JOUR
T1 - Smoothness and periodicity of some matrix decompositions
AU - Chern, Jann Long
AU - Dieci, Luca
PY - 2000/10
Y1 - 2000/10
N2 - 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.
AB - 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.
KW - Constant rank
KW - Orthonormal factorizations
KW - Periodic matrices
UR - http://www.scopus.com/inward/record.url?scp=0035219635&partnerID=8YFLogxK
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U2 - 10.1137/S0895479899353622
DO - 10.1137/S0895479899353622
M3 - Article
AN - SCOPUS:0035219635
VL - 22
SP - 772
EP - 792
JO - SIAM Journal on Matrix Analysis and Applications
JF - SIAM Journal on Matrix Analysis and Applications
SN - 0895-4798
IS - 3
ER -