Accession Number : AD0676515

Title :   ON DECOMPOSITIONS OF MATRIX SPACES WITH APPLICATIONS TO MATRIX EQUATIONS.

Descriptive Note : Systems research memo.,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL TECHNOLOGICAL INST

Personal Author(s) : Ben-Israel,Adi

Report Date : JUL 1968

Pagination or Media Count : 12

Abstract : A theorem on the decomposition of C superscript mxn, the space of mxn complex matrices, into a direct sum of orthogonal complementary subspaces is proved here as a consequence of the corresponding theorem in C superscript mn, the mn dimensional complex vector space. Applications to matrix equations are given. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), VECTOR SPACES), MAPPING(TRANSFORMATIONS), INEQUALITIES, ITERATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE