Powers of a matrix and a formula for the moduli of its eigenvalues
TLDR
The spectral radius of a complex square matrix A is given by ρ ( A ) = lim sup k → ∞ (Tr A k ) 1/k as discussed by the authors, which gives information about the moduli of all eigenvalues of A.About:
This article is published in Linear Algebra and its Applications.The article was published on 1985-11-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Square root of a 2 by 2 matrix & Matrix differential equation.read more
Citations
More filters
Journal ArticleDOI
Yamamoto's theorem for generalized singular values
Charles R. Johnson,Peter Nylen +1 more
TL;DR: In this article, the authors extend Yamamoto's theorem, which relates the largest absolute eigenvalue to the singular value for complex matrices, to various generalized singular values associated with a class of functions weaker than norms.
References
More filters
Journal ArticleDOI
Spectral Radius and Radius of Convergence
TL;DR: In this article, Spectral radius and radius of convergence were studied in the context of convergence, and the authors proposed the Spectral Radius and Radial Convergence of Convergence (SROC) metric.
Related Papers (5)
Eigenvalue problem in a linearly dependent basis and the super‐secular‐equation
Per-Olov Löwdin,Per-Olov Löwdin +1 more