The eigenvalue problem is one of linear algebra's most essential and valuable problems. It deals with finding a square matrix's special values and vectors that ...

In this project, we created a simple c++ library to calculate eigenvalues and eigenvectors. The library is build with a CMakeLists.txt created in CLion and uses googletests for the testing. A ...

Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3 × 3 matrices. The available ...

Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...

These two multiplications display a unique behavior to other matrix products. Matrices can be considered linear transformation operations performed on a vector. When multiplied by the matrix, these ...

Abstract: An analytic parahermitian matrix admits an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors except in the case of multiplexed data. In this paper, we propose an ...

Abstract: The author considers autonomous neutral or retarded matrix delay differential systems. The imaginary axis eigenvalues of such a system are shown to be contained in the set of generalized ...

A new approach that bounds the largest eigenvalue of 3 × 3 correlation matrices is presented. Optimal bounds by given determinant and trace of the squared correlation matrix are derived and shown to ...