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
SN - 1061-5369
VL - 17
SP - 85
EP - 100
JO - Neural, Parallel and Scientific Computations
JF - Neural, Parallel and Scientific Computations
IS - 1
ER -