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. ; Ben-Israel,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