### 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 |

### Fingerprint

### 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

*BIT Numerical Mathematics*,

*41*(4), 645-655.

**Acceleration of convergence of static and dynamic iterations.** / Burrage, K.; Hertono, G.; Jackiewicz, Zdzislaw; Welfert, Bruno.

Research output: Contribution to journal › Article

*BIT Numerical Mathematics*, vol. 41, no. 4, pp. 645-655.

}

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 -