Handbook for Matrix Computations

Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and 'hands on' experience.

1. A Subset of Fortran 77. Basics, Logical Operations, Loops, Arrays, Subprograms, Input/Output, Complex Arithmetic, Programming Tips, Fortran 77 Built-in Functions; 2. The BLAS. Bookkeeping Operations, Vector Operations, Norm Computations, Givens Rotations, Double Precision and Complex Versions; 3.LINPACK. Triangular Systems, General Systems, Symmetric Systems, Banded Systems, The QR Factorization, The Singular Value Decomposition, Double Precision and Complex Versions; 4. MATLAB. Basics, Loops and Conditionals, Built-in Functions, Working with Submatrices, Functions, Factorizations, Miscellaneous