Junliang Wu, Pingping Zhang, Yong Wang
Abstract
In this paper, we adopt a numerical method to establish the smallest set to contain all Gergorin discs of a given complex matrix and its some similar matrices. With the smallest set, a new estimation for all eigenvalues of the matrix is obtained.
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In this paper, we adopt a numerical method to establish the smallest set to contain all Gergorin discs of a given complex matrix and its some similar matrices. With the smallest set, a new estimation for all eigenvalues of the matrix is obtained.
Key concepts: Mathematics, Eigenvalues and eigenvectors, Complex matrix, Set (abstract data type), Matrix (chemical analysis), Spectrum of a matrix, Applied mathematics, Combinatorics