TY - JOUR

T1 - A matrix pencil approach for the solution of linear systems with rectangular or singular coefficient matrices

AU - Karageorgos, Athanasios D.

AU - Pantelous, Athanasios A.

AU - Kalogeropoulos, Grigoris I.

PY - 2009/3

Y1 - 2009/3

N2 - We describe a new approach for the classical problem of solving ordinary systems of linear equations with rectangular (or singular) coefficient matrices. Using the complex Kronecker canonical form, the solution is analytically derived. This approach succeeds in decreasing the importance of arbitrary-unknown elements. More over, we have identified the necessary and required mathematical condition in order to be able to obtain the solutions of the subject system.

AB - We describe a new approach for the classical problem of solving ordinary systems of linear equations with rectangular (or singular) coefficient matrices. Using the complex Kronecker canonical form, the solution is analytically derived. This approach succeeds in decreasing the importance of arbitrary-unknown elements. More over, we have identified the necessary and required mathematical condition in order to be able to obtain the solutions of the subject system.

KW - Linear Singular Systems

KW - Matrix Pencil Theory

UR - http://www.scopus.com/inward/record.url?scp=69549131303&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:69549131303

VL - 17

SP - 85

EP - 100

JO - Neural, Parallel and Scientific Computations

JF - Neural, Parallel and Scientific Computations

SN - 1061-5369

IS - 1

ER -