Linear algebra tests: Jacobi symmetric matrices with equal diagonal elements

O. B. Arushanyan

Lomonosov Moscow State University, Research Computing Center

Abstract: The formulas for computing determinants, eigenvalues, and eigenvectors as well as for inverting Jacobi symmetric matrices with equal diagonal elements are given. As an illustration, one class of such matrices arising frequently in practical computations is considered.

Keywords: Jacobi matrices, eigenvalue problem, determinants of matrices, matrix inversion, eigenvectors, eigenvalues.

UDC: 519.6