🚀 go-pugleaf

In article <C0p5JD.M0L@news.udel.edu> mccalpin@perelandra.cms.udel.edu (John D. McCalpin) writes:

   In article <1993Jan8.201645.14915@news.eng.convex.com> dodson@convex.COM (Dave Dodson) writes:
   >I'd like to point out that it is almost never required or desirable to
   >compute the inverse of a matrix.  Almost without exception, you can do
   >any computation in which you would use the inverse in a better way that
   >does not use the inverse.  By 'better' I mean faster, uses less memory,
   >more accurate, etc.

   The direct use of the inverse matrix is generally the fastest way to
   solve a dense system of equations with multiple, consecutive right-hand-sides
   (as in a time-dependent fluid dynamics problem).

Where do dense systems come from in fluid dynamics? Usually
differential equations (partial or otherwise) give sparse
matrices, and then calculating the inverse is at least a major
waste of space.

--
Victor Eijkhout ................................ `There are also a few bugs,
Department of Computer Science .......... though not as many as I've come to
University of Tennessee ............... expect in new [MS]Windows products.'
Knoxville TN 37919 ................................ (from a software review)