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A test matrix for an inverse eigenvalue problem
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نویسنده
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gladwell g.m.l. ,jones t.h. ,willms n.b.
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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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We present a real symmetric tridiagonal matrix of order n whose eigenvalues are { 2 k } k = 0 n - 1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum,{ 2 l + 1 } l = 0 n - 2. the matrix entries are explicit functions of the size n,and so the matrix can be used as a test matrix for eigenproblems,both forward and inverse. an explicit solution of a spring-mass inverse problem incorporating the test matrix is provided. © 2014 g. m. l. gladwell et al.
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آدرس
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department of civil and environmental engineering,university of waterloo,waterloo, Canada, department of mathematics,bishop's university,sherbrooke, Canada, department of mathematics,bishop's university,sherbrooke, Canada
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Authors
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