1987
DOI: 10.1016/0024-3795(87)90058-9
|View full text |Cite
|
Sign up to set email alerts
|

Over- and underrelaxation for linear systems with weakly cyclic jacobi matrices of index p

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

1
27
0

Year Published

1989
1989
2001
2001

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 29 publications
(28 citation statements)
references
References 12 publications
1
27
0
Order By: Relevance
“…not necessarily real, with Ico-11< 1, the corresponding sets U,(R~,,p) have the same shape as described above modulo a rotation by the angle ff : = (1/p) arg (co -1 ) -arg (co) (see [18 ], the connection between hypocycloids and the SOR method was first noticed by Varga [16] ,p))] p = (I/i/) p to hold. As we shall see in Sects.…”
Section: U(ro ) : = ~\Ro(o)mentioning
confidence: 93%
See 4 more Smart Citations
“…not necessarily real, with Ico-11< 1, the corresponding sets U,(R~,,p) have the same shape as described above modulo a rotation by the angle ff : = (1/p) arg (co -1 ) -arg (co) (see [18 ], the connection between hypocycloids and the SOR method was first noticed by Varga [16] ,p))] p = (I/i/) p to hold. As we shall see in Sects.…”
Section: U(ro ) : = ~\Ro(o)mentioning
confidence: 93%
“…The key for the following is an observation extensively used in [18] : One step of the SOR method (1.2) applied to a linear system with a consistently ordered p-cyclic matrix A with Jacobi matrix Jp (see (1.3) and (1.4)) is equivalent to p steps of the p-step relaxation method…”
Section: The Geometry Of a P-step Relaxation Methodsmentioning
confidence: 99%
See 3 more Smart Citations