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Matrix differentiation formulasA compact differentiation technique (without using indexes) is developed for scalar functions that depend on complex matrix arguments which are combined by operations of complex conjugation, transposition, addition, multiplication, matrix inversion and taking the direct product. The differentiation apparatus is developed in order to simplify the solution of extremum problems of scalar functions of matrix arguments.
Document ID
19830023120
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Usikov, D. A. (NASA Headquarters Washington, DC United States)
Tkhabisimov, D. K. (NASA Headquarters Washington, DC United States)
Date Acquired
September 4, 2013
Publication Date
April 1, 1983
Subject Category
Numerical Analysis
Report/Patent Number
NASA-TM-77210
PR-755
NAS 1.15:77210
Report Number: NASA-TM-77210
Report Number: PR-755
Report Number: NAS 1.15:77210
Accession Number
83N31391
Funding Number(s)
CONTRACT_GRANT: NASW-3542
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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