How Accurate is inv(A)*b?

Details How Accurate is inv(A)*b? How Accurate is inv(A)*b?

2012-01-29

arxiv.org/abs/1201.6035v1

Computer Science

Numerical Analysis

Scientific paper

Several widely-used textbooks lead the reader to believe that solving a linear system of equations Ax = b by multiplying the vector b by a computed inverse inv(A) is inaccurate. Virtually all other textbooks on numerical analysis and numerical linear algebra advise against using computed inverses without stating whether this is accurate or not. In fact, under reasonable assumptions on how the inverse is computed, x = inv(A)*b is as accurate as the solution computed by the best backward-stable solvers. This fact is not new, but obviously obscure. We review the literature on the accuracy of this computation and present a self-contained numerical analysis of it.

Affiliated with

Also associated with

No associations

Rating

How Accurate is inv(A)*b? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with How Accurate is inv(A)*b?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How Accurate is inv(A)*b? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-379183