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Solutions of a quadratic inverse eigenvalue problem for damped gyroscopic second-order systems
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نویسنده
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zhong h.-x. ,chen g.-l. ,zhang x.-y.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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Given k pairs of complex numbers and vectors (closed under conjugation),we consider the inverse quadratic eigenvalue problem of constructing n × n real matrices m,d,g,and k,where m > 0,k and d are symmetric,and g is skew-symmetric,so that the quadratic pencil q (λ) = λ 2 m + λ (d + g) + k has the given k pairs as eigenpairs. first,we construct a general solution to this problem with k ≤ n. then,with the special properties d = 0 and k < 0,we construct a particular solution. numerical results illustrate these solutions. © 2014 hong-xiu zhong et al.
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آدرس
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department of mathematics,east china normal university, China, department of mathematics,east china normal university, China, department of mathematics,east china normal university, China
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Authors
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