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

Calculates the eigenvalues and eigenvectors of A. eigenvalues, eigenvectors = np.linalg.eig(A) return eigenvalues, eigenvectors def eigenvectors_and_eigenspaces_for_a_3x3_matrix(): Example of finding ...

Abstract: Orthonormal eigenvectors are efficiently generated for the DFT-IV matrix G by a detailed eigenanalysis of a nearly tridiagonal matrix S which commutes with matrix G. Matrix S is reduced to a ...

Recently we have developed an eigenvector method (EVM) which can achieve the blind deconvolution (BD) for MIMO systems. One of attractive features of the proposed algorithm is that the BD can be ...

Network analysis begins with data that describes the set of relationships among the members of a system. The goal of analysis is to obtain from the low-level relational data a higher-level description ...

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 ...

Abstract: The problem of finding the eigenvector corresponding to the largest eigenvalue of a stochastic matrix has numerous applications in ranking search results, multi-agent consensus, networked ...