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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Component Matrices of a Square Matrix and Their Properties
verfasst von : Dorothea Petraki, Nikolaos Samaras
Erschienen in: Mathematical Analysis, Approximation Theory and Their Applications
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Abstract
The definition of the component matrices of a square matrix A is well-known [Lancaster]. This paper is concerned with all the basic properties of component matrices of a square matrix A, where \(A\epsilon M_{\nu \times \nu }(K),K = \mathbb{R}\), or \(K = \mathbb{C}\). This is very useful for the studies of the spectral resolution of a matrix function f(A), the convergence of sequences and series of matrices and also the convergence of matrix functions. It is also useful to solve differential equations and control system problems.