On the diagonal approximation of full matrices

✍ Scribed by Walter M. Lioen

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 447 KB
• Volume: 75
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(96)00054-4

✦ Synopsis

In this paper the construction of diagonal matrices, in some sense approximating the inverse of a given square matrix, is described. The matrices are constructed using the well-known computer algebra system Maple. The techniques we show are applicable to square matrices in general. Results are given for use in Parallel diagonal-implicit Runge-Kutta (PDIRK) methods. For an s-stage Radau IIA corrector we conjecture s! possibilities for the diagonal matrices.