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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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