In principle, the exponential of a matrix could be computed in many ways. Methods involving approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristicâ€¦ (More)

In principle, the exponential of a matrix could be computed in many ways. Methods involving approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristicâ€¦ (More)

When writing can change your life, when writing can enrich you by offering much money, why don't you try it? Are you still very confused of where getting the ideas? Do you still have no idea withâ€¦ (More)

This paper describes and analyzes several variants of a computational method for improving the numerical accuracy of, and for obtaining numerical bounds on, matrix eigenvalues and eigenvectors. Theâ€¦ (More)

A software package has been developed to solve efficiently the Sylvester-type matrix equation <italic>AXB<supscrpt>T</supscrpt></italic> + <italic>CXD<supscrpt>T</supscrpt></italic> =â€¦ (More)

Iterative refinement reduces the roundoff errors in the computed solution to a system of linear equations. Only one step requires higher precision arithmetic. If sufficiently high precision is used,â€¦ (More)

* Invited paper presented May 13, 1966, at the Symposium on Numerical Solution of Differential Equations, SIAM 1966 National Meeting at the University of Iowa, sponsored by the Air Force Office ofâ€¦ (More)