Abstract: This paper considers the problem of eigenvalue assignment for discrete-time positive systems by state feedback control law. The goal of the paper is to solve the stabilization problem of ...

Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Abstract: A computational test for scalar positive real and strictly positive real functions is proposed in this paper. The input for this algorithm is state space representation, not necessarily ...

This is a research project on grounded Laplacian eigenvalues based on discrete operators. We provide code and documentation for computing and analyzing eigenvalues and eigenvectors of discrete ...

The eigenvalue complementarity problem (EiCP) represents a class of mathematical challenges where the determination of eigenvalues and corresponding eigenvectors is constrained by complementarity ...

The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect to two ...

A small curiosity-driven project: build and solve a classic eigenvalue problem (buckling modes of a 1D beam) with clean scaling, a tridiagonal matrix model, and a from-scratch Jacobi rotation solver.

ABSTRACT: This paper presents and analyzes a Discrete Duality Finite Volume (DDFV) method to solve 2D diffusion problems under prescribed Robin boundary conditions. The derivation of a symmetric ...