Question: How can we use Power Iteration to find the eigenvalue/eigenvector close to a number μ ? Inverse Iteration with Shift can solve this problem. Claim: If μ ∈ R is not an eigenvalue of A , then ...

Calculating the eigenmodes and eigenfrequencies of a perfect electric conductor cavity is one of the classical problems in electromagnetics. When we use the electric field integral equation (EFIE) to ...

Abstract Can linear systems be solved faster than matrix multiplication? While there has been remarkable progress for the special cases of graph structured linear systems, in the general setting, the ...

A new numerical algorithm, which combines genetic algorithm and parameter tracking schemes, is presented. An eigenvalue equation of the surface wave is solved accurately based on this algorithm.

In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which arise in left and right inverse eigenpairs problem, is considered. With the special properties of ...

As we know, it is very difficult to find the matrix D (t) directly from the above complex domain equation. However, any complex number contains real and imaginary parts, and we can solve the complex ...

This paper studies the problem whether the smallest eigenvalue of constrained linear combinations of symmetric matrices can reach a desirable value, which actually extends the mathematical problem of ...