Seems like GE on a 2x2 matrix should be pretty darn fast.... especially if you use scalar * vector type operations.

The traditional way of finding minimum eigenvalue of a hermitian matrix consists of Semi-Classical method where we use Classical Optimization and variational principles to find the lowest eigenvalue ...

Abstract: Matrices are the foundation of science and engineering. For artificial intelligence (AI) and Internet of Things (IoT) tasks, developing a hardware efficient way to find the eigenvector of ...

Last year I got interested in a particular kind of one-dimensional problem involving multiple point masses oscillating as if they were connected by springs. The problem of finding the normal modes of ...

Abstract Let A be an n × n Hermitian matrix and A = UΛUH be its spectral decomposition, where U is a unitary matrix of order n and Λ is a diagonal matrix. In this note we present the perturbation ...

The eigenvectors of a fuzzy matrix correspond to steady states of a complex discrete-events system, characterized by the given transition matrix and fuzzy state vectors. The descriptions of the ...