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Journal ArticleDOI

On the Eigenvalues of a Matrix

Carl E. Sealander
- 01 Jul 1961 - 
- Vol. 3, Iss: 3, pp 262-262
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This article is published in Siam Review.The article was published on 1961-07-01. It has received 2 citations till now. The article focuses on the topics: Matrix differential equation & Square root of a 2 by 2 matrix.

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On the structure of stochastic matrices with a subdominant eigenvalue near 1

TL;DR: The relationship between the nearness of the subdominant eigenvalues and the near-uncoupling of stochastic matrices was clarified in this article, where it was shown that λ 2 (P) is sufficiently close to λ = 1 to be nearly completely decomposable.
Journal ArticleDOI

On Open Problems of Nonnegative Inverse Eigenvalues Problem

TL;DR: In this paper, the authors give solvability conditions for three open problems of nonnegative inverse eigenvalues problem (NIEP) which were left hanging in the air up to seventy years.
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Journal ArticleDOI

On the structure of stochastic matrices with a subdominant eigenvalue near 1

TL;DR: The relationship between the nearness of the subdominant eigenvalues and the near-uncoupling of stochastic matrices was clarified in this article, where it was shown that λ 2 (P) is sufficiently close to λ = 1 to be nearly completely decomposable.
Journal ArticleDOI

On Open Problems of Nonnegative Inverse Eigenvalues Problem

TL;DR: In this paper, the authors give solvability conditions for three open problems of nonnegative inverse eigenvalues problem (NIEP) which were left hanging in the air up to seventy years.