[petsc-users] any good references on matrix scaling

[Barry Smith]

  If the matrices already have that very different scaling then it is too late. You want to scale the variables in your physics initially before it ever gets to the discretization so that the scaling is as good as it can be.

http://en.wikipedia.org/wiki/Nondimensionalization

   Barry

On Sep 12, 2013, at 12:04 PM, Umut Tabak <u.tabak at tudelft.nl> wrote:

> Dear all,
> 
> I am looking for some references for matrix scaling where I would like to improve the conditioning of a block representation such as
> 
> A C
> C^T B
> 
> where the terms in A and B blocks are of very different orders, such as A is of 1e+8 and B for instance is of order 1e-4 . The ratios can get even worse but not better on the problems I tried.
> 
> I am trying have an overview for some cheap conditioning approaches for this problem.
> 
> Any ideas/references are appreciated.
> 
> BR,
> Umut