A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem. (English) Zbl 1376.65058
Summary: 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.
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