Generalized Rayleigh-quotient Formulas for the Real Parts, Imaginary Parts, and Moduli of the Eigenvalues of Diagonalizable Matrices
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2
Abstract
In the present paper, generalized Rayleigh-quotient formulas for the real parts, imaginary parts, and moduli of the eigenvalues of diagonalizable matrices are derived. These formulas are new and correspond to similar formulas for the eigenvalues of self-adjoint matrices obtained recently. Numerical examples underpin the theoretical findings.
Authors and Affiliations
Ludwig Kohaupt
Keywords
Related Articles
- EP ID EP651820
- DOI 10.24297/jam.v14i2.7373
- Views 186
- Downloads 0
The Trisection of an Arbitrary Angle
This paper presents an elegant classical geometric solution to the ancient Greek's problem of angle trisection. Its primary objective is to provide a provable construction for resolving the trisection of an arbitra...
Effect of Delta Operator on Umbral Composition in Finite Operator calculus
The main objective of this paper is to propose the matrix representation of umbral composition and investigate the effect of delta operator on umbral composition by using the sequential representation of delta operator i...
Anti (Q, L)-Fuzzy Subhemirings of a Hemiring
In this paper, an attempt has been made to study the algebraic nature of an anti (Q, L)-fuzzy subhemirings of a hemi ring.
The Non-homogeneous Groshev Convergence theorem for Diophantine Approximation on Manifolds
This paper is based on Khintchine theorem, Groshev theorem and measure and dimension theorems for non-degenerate manifolds. The inhomogeneous Diophantine approximation of Groshev type on manifolds is studied. Major work...
G-function Solutions for Diffusion and Laplace's equations
In this paper the Diffusion equation and Laplace's equation is solved by Modiffied separation of variables (MSV) method, suggested by Pishkoo and Darus . Using this method, Meijer's G-function solutions are derived in cy...