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 characteristic polyn...

1. Introduction. 2. Computer Arithmetic and Computational Errors. 3. Linear systems of Equations. 4. Interpolation. 5. Numerical Quadrature. 6. Linear Least-Square Data Fitting. 7. Solution of… Expand

A new method, called the $QZ$ algorithm, is presented for the solution of the matrix eigenvalue problem $Ax = \lambda Bx$ with general square matrices A and B. Particular attention is paid to the… Expand

The matrix computation language and environment MATLAB is extended to include sparse matrix storage and operations, without any explicit action by the user.Expand

General matrices Band matrices positive definite matrices Positive definite band matrices Symmetric Indefinite Matrices Triangular matrices Tridiagonal matrices The Cholesky decomposition The QR decomposition Updating QR decompositions The singular value decomposition References Basic linear algebra subprograms.Expand

How to use Eispack.- Validation of EISpack.- Execution times for Eis Pack.- Certification and availability of EisPack.- Differences between the Eis pack subroutines and the handbook algol procedures.- Documentation and source listings.Expand