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Computational Aspect To the Nearest Southeast Submatrix That Makes Multiple A Prescribed Eigenvalue
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نویسنده
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Nazari A. ,Nezami A.
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منبع
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Journal Of Linear And Topological Algebra - 2017 - دوره : 6 - شماره : 1 - صفحه:67 -72
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چکیده
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Given four complex matrices a, b, c and d where a∈cn×n and d∈cm×m and let the matrix (abcd) be a normal matrix and assume that λ is a given complex number that is not eigenvalue of matrix a. we present a method to calculate the distance norm (with respect to 2-norm) from d to the set of matrices x∈cm×m such that, λ be a multiple eigenvalue of matrix (abcx). we also find the nearest matrix x to the matrix d.
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کلیدواژه
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Normal Matrix ,Multiple Eigenvalues ,Singular Value ,Distance Matrices
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آدرس
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Arak University, Department Of Mathematics, Iran, Arak University, Department Of Mathematics, Iran
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Authors
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