Thomas F. Coleman and Charles Van Loan
Frontiers in Applied Mathematics 4
"This handbook can be used as a reference by those actively engaged in scientific computation. It can also serve as a practical companion text in a numerical methods course that involves a significant amount of linear algebraic computation." -- Applied Mechanics Review, Vol. 42, No. 2, February 1989.
"I recommend this book as a backup to a good text in a second course on numerical computations or as a good reference for individuals who need a guide to matrix computations using Fortran along with LINPACK and BLAS. The authors, SIAM, and the editorial board are to be complimented on a job well done..." -- Fortran Journal, May/June 1989, C. L. Ritz.
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.
Adopted for classroom use by Memorial University of Newfoundland, Pennsylvania State University, and the University of Alabama (partial listing).
Chapter 1: A Subset of Fortran 77. Basics, Logical Operations, Loops, Arrays, Subprograms, Input/Output, Complex Arithmetic, Programming Tips, Fortran 77 Built-in Functions; Chapter 2: The BLAS. Bookkeeping Operations, Vector Operations, Norm Computations, Givens Rotations, Double Precision and Complex Versions; Chapter 3: LINPACK. Triangular Systems, General Systems, Symmetric Systems, Banded Systems, The QR Factorization, The Singular Value Decomposition, Double Precision and Complex Versions; Chapter 4: MATLAB. Basics, Loops and Conditionals,
Built-in Functions, Working with Submatrices, Functions, Factorizations, Miscellaneous
1988 / vii + 264 pages / Softcover (comb binding) / ISBN-13: 978-0-898712-27-8 / ISBN-10: 0-89871-227-0
List Price $58.00 / SIAM Member Price $40.60 / Order Code FR04