TABLE OF CONTENTS It is amusing to remark that we were so involved with matrix inversion that we probably talked of nothing else for months. Just in this period Mrs. von Neumann acquired a big, rather wild but gentle Irish Setter puppy, which she called Inverse in honor of our work!
- HERMAN H. GOLDSTINE, The Computer: From Pascal to von Neumann (1972)
The most computationally intensive portion of the tasks assigned to the processors is integrating the KKR matrix inverse over the first Brillouin zone. To evaluate the integral, hundreds or possibly thousands of complex double precision matrices of order between 80 and 300 must be formed and inverted. Each matrix corresponds to a different vertex of the tetrahedrons into which the Brillouin zone has been subdivided.
- M. T. Heath, G. A. GEIST, and J. B. DRAKE, Superconductivity Computations, in Early Experience with the Intel iPSC/860 at Oak Ridge National Laboratory (1990)
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to invert the matrix. Note that matrix inversion can produce erroneous results if you are using ill-conditioned matrices.
- HEWLETT-PACKARD, HP 48G Series User's Guide (1993) Almost anything you can do with A ?1 can be done without it.
- GEORGE E. FORSYTHE and CLEVE B. MOLER, Computer Solution of Linear Algebraic Systems (1967)
To most numerical analysts, matrix inversion is a sin. Forsythe, Malcolm, and Moler put it well when they say [430, 1977, p. 31] "In the vast majority...
