Abstract
A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 645-655 |
| Number of pages | 11 |
| Journal | BIT Numerical Mathematics |
| Volume | 41 |
| Issue number | 4 |
| State | Published - Dec 2001 |
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Keywords
- Acceleration of convergence &
- Linear differen
- Static and dynamic iterations
- Tial systems
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
- Software
- Applied Mathematics
- Computational Mathematics
Cite this
Acceleration of convergence of static and dynamic iterations. / Burrage, K.; Hertono, G.; Jackiewicz, Zdzislaw; Welfert, Bruno.
In: BIT Numerical Mathematics, Vol. 41, No. 4, 12.2001, p. 645-655.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Acceleration of convergence of static and dynamic iterations
AU - Burrage, K.
AU - Hertono, G.
AU - Jackiewicz, Zdzislaw
AU - Welfert, Bruno
PY - 2001/12
Y1 - 2001/12
N2 - A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.
AB - A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.
KW - Acceleration of convergence &
KW - Linear differen
KW - Static and dynamic iterations
KW - Tial systems
UR - http://www.scopus.com/inward/record.url?scp=0041317089&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0041317089&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0041317089
VL - 41
SP - 645
EP - 655
JO - BIT Numerical Mathematics
JF - BIT Numerical Mathematics
SN - 0006-3835
IS - 4
ER -