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- W1964013670 abstract "In this paper, we analyse a special generalized inverse eigenvalue problem Anx=λBnx for the pair (An,Bn) of matrices each of whose graph is a path on n vertices, by investigating the leading principal minors of the matrix An−λBn. From the given data consisting of Bn, a matrix Ak (k<n) whose graph is a path on k vertices, two column vectors X2,Y2∈Rn−k and distinct real numbers λ and μ we construct An and two column vectors X1,Y1∈Rk such that Ak is the leading principal sub-matrix of An and (λ,X), (μ,Y) are the eigenpairs of (An,Bn), where X=(X1T,X2T)T and Y=(Y1T,Y2T)T. Further, numerical examples are also given to demonstrate the applicability of the results developed here." @default.
- W1964013670 created "2016-06-24" @default.
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- W1964013670 date "2014-04-01" @default.
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- W1964013670 title "Generalized inverse eigenvalue problem for matrices whose graph is a path" @default.
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- W1964013670 doi "https://doi.org/10.1016/j.laa.2013.12.035" @default.
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