TY - JOUR
ID - 37411
TI - Some Results on the Field of Values of Matrix Polynomials
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Boor Boor Azimi, Zahra
AU - Aghamollaei, Gholamreza
AD - Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman,
Kerman, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 55
EP - 68
KW - Field of values
KW - Perturbation
KW - Matrix polynomial
KW - companion linearization
KW - Basic $A-$factor block circulant matrix
DO - 10.22130/scma.2018.88329.461
N2 - In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied. Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of values of basic A-factor block circulant matrices are investigated.
UR - https://scma.maragheh.ac.ir/article_37411.html
L1 - https://scma.maragheh.ac.ir/article_37411_9e2b73b28530ee677702cc376d967792.pdf
ER -