Differentiability of Functions of MatricesMatrix Functions DIFFERENTIABILITY OF FUNCTIONS OF MATRICES

نویسندگان

  • YURY GRABOVSKY
  • IGOR RIVIN
چکیده

A. Let f be a function on the set of diagonal n × n matrices, and let˜f be the unique extension of f to the set of symmetric n × n matrices invariant with respect to conjugation by orthogonal matrices. We show that˜f has the same regularity properties as f.

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تاریخ انتشار 2003