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

作者：Adeli Iman^*; Taheri Maryam; Moghadam Mahmoud Mohseni

来源：Linear Algebra and Its Applications, 2018, 537: 318-331.

DOI：10.1016/j.laa.2017.10.005

• Doubly stochastic matrices
• Inverse eigenvalue problem

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.

• 出版日期2018-1-15