Quantcast
Channel: Intel® oneAPI Math Kernel Library & Intel® Math Kernel Library
Viewing all articles
Browse latest Browse all 2652

Bad Conditioned Linear System

$
0
0

The problem is to calculate the array of functions f(x) defined as:

see Figure1

and then

see Figure2

Some coefficients of the matrix “A” are in the form:

see Figure3

For this reason, for large values “x” the matrix “A” becomes singular and the linear system bad conditioned.

Anyway, in double precision if “x > 706” the calculation of the coefficient gives underflow.

Matrix preconditioning seems not effective.

Are there math trick to overcome the problem?

AttachmentSize
Downloadapplication/pdfBCLS.pdf460.56 KB
Downloadimage/jpegf01.jpg3.8 KB
Downloadimage/jpegf02.jpg3.89 KB
Downloadimage/jpegf03.jpg1.54 KB

Viewing all articles
Browse latest Browse all 2652

Trending Articles



<script src="https://jsc.adskeeper.com/r/s/rssing.com.1596347.js" async> </script>