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A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem

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Abstract This article presents a technique for combining two doubly stochastic matrices with known spectra to create a new matrix. As application of this, we obtain a recursive method for… Click to show full abstract

Abstract This article presents a technique for combining two doubly stochastic matrices with known spectra to create a new matrix. As application of this, we obtain a recursive method for constructing doubly stochastic matrices for the inverse eigenvalue problem and find new sufficient conditions for this problem. In addition, we improve the Soules' condition.

Keywords: constructing doubly; doubly stochastic; method constructing; stochastic matrices; problem; recursive method

Journal Title: Linear Algebra and its Applications
Year Published: 2018

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