A Note on the Reduction Formulas for Some Systems of Linear Operator Equations
Abstract
We consider partial and total reduction of a nonhomogeneous linear system of the operator equations with the system matrix in the same particular form as in paper [N. Shayanfar, M. Hadizadeh 2013]. Here we present two different concepts. One is concerned with partially reduced systems obtained by using the Jordan and the rational form of the system matrix. The other one is dealing with totally reduced systems obtained by finding the adjugate matrix of the characteristic matrix of the system matrix.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.0671
 arXiv:
 arXiv:1404.0671
 Bibcode:
 2014arXiv1404.0671J
 Keywords:

 Mathematics  Spectral Theory;
 Mathematics  Classical Analysis and ODEs;
 Mathematics  Numerical Analysis;
 Mathematics  Rings and Algebras
 EPrint:
 Filomat 30:5 (2016), 13531362