University of MaraghehSahand Communications in Mathematical Analysis2322-580717220200601Some Results on the Field of Values of Matrix Polynomials55683741110.22130/scma.2018.88329.461ENZahraBoor Boor AzimiDepartment of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.GholamrezaAghamollaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman,
Kerman, Iran.Journal Article20180618In 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.https://scma.maragheh.ac.ir/article_37411_9e2b73b28530ee677702cc376d967792.pdf