Abstract: The algorithm is a new approach for solving eigenvalue problem which is based on the P (p, q, w) rotation transform; it is the effective way for solving all the eigenvalues and eigenvectors ...

QR-decomposition based QR-algorithm for eigenvalues evaluation of symmetric matrix with real values with OpenMP directives for parallelization of computations for multi-core systems ...

Mathematics of Computation, Vol. 71, No. 240 (Oct., 2002), pp. 1473-1496 (24 pages) This paper shows that for unitary Hessenberg matrices the QR algorithm, with (an exceptional initial-value ...

The QR algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Most discussions of the QR algorithm begin with a very basic version and move by ...

In chemistry, the properties of atoms and molecules can be determined by solving the Schrödinger equation. However, because the dimension of the problem grows exponentially with the size of the ...