The Fundamental Bordered Matrix of Linear Estimation and the Duffin-Morley General Linear Electromechanical Systems

Abstract

AMS (MOS)'s: Primary: 15A09 Secondary: 15A99

A complex matrix V of order n×n is said to be almost definite if for a complex n-tuple . Interrelations between the blocks of a generalized inverse of the complex matrix

are obtained when V is an almost definite matrix. These results are used to study the transfer impedance in the Duffin-Morley general linear electromechanical system.

†Research supported by National Science Foundation Grant No. MCS 76–00951 at Indiana University.

‡Research supported by the Air Force Office of Scientific Research AFSC, USAF under Grant No AFOSR 76–2927. Reproduction in whole or in part permitted for any purpose of

†Research supported by National Science Foundation Grant No. MCS 76–00951 at Indiana University.

‡Research supported by the Air Force Office of Scientific Research AFSC, USAF under Grant No AFOSR 76–2927. Reproduction in whole or in part permitted for any purpose of

Notes

†Research supported by National Science Foundation Grant No. MCS 76–00951 at Indiana University.

‡Research supported by the Air Force Office of Scientific Research AFSC, USAF under Grant No AFOSR 76–2927. Reproduction in whole or in part permitted for any purpose of