
Accession Number : AD0666813
Title : ON GENERALIZED MATRIX FUNCTIONS.
Descriptive Note : Systems research memo.,
Corporate Author : NORTHWESTERN UNIV EVANSTON ILL TECHNOLOGICAL INST
Personal Author(s) : Hawkins,John B. ; BenIsrael,Adi
Report Date : JAN 1968
Pagination or Media Count : 22
Abstract : The paper contains 2 sections. In section 1 the spectral theory for rectangular complex matrices, as given by Penrose and Hestenes is reformulated so as to include the spectral theory for normal matrices as a special case. These results, which are mostly well known, are used in section 2 to study matric functions of rectangular complex matrices. These functions are shown in theorem 4 to satisfy an appropriate version of the Fantappie requirements. Theorems 5 and 6 are the analogs of Cauchy's integral theorem and Taylor's theorem respectively. (Author)
Descriptors : (*MATRICES(MATHEMATICS), THEOREMS), VECTOR SPACES, COMPLEX NUMBERS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE