Results 181 to 190 of about 1,914,031 (237)

The Minimum Ratio of Two Eigenvalues [PDF]

SIAM Journal on Applied Mathematics, 1976
The first two eigenvalues, $\lambda _1 $ and $\lambda _2 $, of the problem $y'' + \lambda \phi ( x )y = 0$, $y( { \pm \frac{1}{2}} ) = 0$ are considered. The minimum of their ratio ${\lambda _2 / \lambda _1 }$ is sought for $\phi ( x )$ ranging over the class of piecewise continuous functions satisfying the inequalities $0 < a \leqslant \phi ( x ...
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

, 2020
Recently, some authors have established a number of inequalities involving the minimum eigenvalue for the Hadamard product of M-matrices. In this paper, we improve these results and give some new lower bounds on the minimum eigenvalue for the Hadamard ...
M. Özel, Dilek Varol
semanticscholar   +1 more source

Hardware-Efficient and Fast Sensing-Time Maximum-Minimum-Eigenvalue-Based Spectrum Sensor for Cognitive Radio Network

IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2019
This paper proposes an implementation-friendly maximum-minimum-eigenvalue (MME)-based spectrum sensing algorithm for cognitive radio network. An iterative power method has been applied for the first time to compute maximum and minimum eigenvalues that ...
Rohit B. Chaurasiya, R. Shrestha
semanticscholar   +1 more source

Maximum-Minimum Eigenvalue Detection for Cognitive Radio

2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications, 2007
Sensing (signal detection) is a fundamental problem in cognitive radio. In this paper, a new method is proposed based on the eigenvalues of the covariance matrix of the received signal. It is shown that the ratio of the maximum eigenvalue to the minimum eigenvalue can be used to detect the signal existence.
Yonghong Zeng, Ying-Chang Liang
semanticscholar   +3 more sources

Yuan's alternative theorem and the maximization of the minimum eigenvalue function [PDF]

Journal of Optimization Theory and Applications, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Martínez-Legaz, Alberto Seeger
semanticscholar   +3 more sources

Maximizing the Minimum Eigenvalue in Constant Dimension

arXiv.org
In an instance of the minimum eigenvalue problem, we are given a collection of $n$ vectors $v_1,\ldots, v_n \subset {\mathbb{R}^d}$, and the goal is to pick a subset $B\subseteq [n]$ of given vectors to maximize the minimum eigenvalue of the matrix ...
Adam Brown, Aditi Laddha, Mohit Singh
semanticscholar   +1 more source

Minimum Eigenvalue Separation

1992
Abstract : For over one hundred years, the eigenvalue problem has been investigated by mathematicians, physicists, and engineers. Scientists explored the characterization, location, perturbation and computation of eigenvalues, to name a few topics. This thesis is devoted to the separation of eigenvalues. We will find the minimum gap between eigenvalues
Tzon-Tzer Lu, Beresford N. Parlett
openaire   +2 more sources

Pole assignment with minimum eigenvalue differential sensitivity

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 1997
This paper introduces a set of mathematical formulae for calculating the eigenvalue differential sensitivities of the closed-loop state matrix with respect to the open-loop state matrix, input matrix and state feedback matrix. It provides a computational procedure for a robust pole assignment problem.
Lam, J, Tam, HK
openaire   +3 more sources

Design of optimal feedback controllers for minimum eigenvalue sensitivity

Optimal Control Applications and Methods, 1984
AbstractAn iterative method for designing an optimal constant gain feedback controller for a linear system to achieve minimum eigenvalue sensitivity to parameter variations is presented. In addition to assigning eigenvalues to desired locations in the complex plane, one can also assign elements of eigenvectors by this method.
H. Qiu, V. Gourishankar
semanticscholar   +4 more sources

Pole assignment with optimality and minimum eigenvalue sensitivity

Proceedings of the Institution of Electrical Engineers, 1975
A method is presented for designing a constant-gain feedback controller for assigning the closed-loop poles of a linear system to specified locations while minimising an objective functional which is a linear combination of a quadratic performance index and an eigenvalue sensitivity functional.
K. Ramar, V. Gourishankar
openaire   +2 more sources