Abstract: Throughout many scientific and engineering fields, including control theory, quantum mechanics, advanced dynamics, and network theory, a great many important applications rely on the ...

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 paper several algorithms for finding the eigenvalues of real symmetric matrices are discussed and compared. The algorithms have been programmed by the author for the IBM 7094. Descriptions of ...

Symmetric matrices play a crucial role in various applications due to their real eigenvalues and orthogonal eigenvectors. The process of tridiagonalization transforms a square matrix into a ...

This is a preview. Log in through your library . Abstract In this paper, we shall give a rigorous theoretical analysis of the two-level preconditioned Jacobi–Davidson method for solving the large ...