| Title:
|
General theory of direct methods for solving systems of equations with band matrices (English) |
| Author:
|
Malina, Ľubor |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
24 |
| Issue:
|
3 |
| Year:
|
1979 |
| Pages:
|
161-183 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A unified approach to the theory and construction of direct methods is presented. The approach is based on the idea of the transfer of conditions. In examples it is shown how to obtain a particular method from the general algorithm. (English) |
| Keyword:
|
general theory of direct methods |
| Keyword:
|
band matrices |
| Keyword:
|
factorization methods |
| Keyword:
|
Gaussian elimination |
| Keyword:
|
transfer of the boundary condition |
| MSC:
|
65F05 |
| MSC:
|
65F30 |
| idZBL:
|
Zbl 0443.65011 |
| idMR:
|
MR0530905 |
| DOI:
|
10.21136/AM.1979.103794 |
| . |
| Date available:
|
2008-05-20T18:11:40Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103794 |
| . |
| Reference:
|
[1] Babuška I., Práger M., Vitásek E.: Numerical processes in differential equations.Interscience, New York (1966). MR 0223101 |
| Reference:
|
[2] Buchberger B., Emeljanenko G. A.: Methods of inversion of tridiagonal matrices.(Russian), Ž. Vyčisl. Mat. i Mat. Fiz., 13 (1973), 546-554. MR 0323799 |
| Reference:
|
[3] Samarskij A. A.: Introduction into the theory of difference methods.(Russian), Moscow (1971). |
| Reference:
|
[4] Taufer J.: Lösung der Randwertprobleme für Systeme von Linearen Differentialgleichungen.Rozpravy ČSAV, 83 (1973). Zbl 0276.34009 |
| Reference:
|
[5] Ting C. T. Т.: A method of solving a system of linear equations whose coefficients form a tridiagonal matrix.Quart. of Appl. Maths., XXII (1962). |
| Reference:
|
[6] Malina Ľ.: Methods of the transfer of conditions and conditions of "well conditionedness".(Russian), in Numerical methods of linear algebra, ed. G. I. Marčuk, Novosibirsk (1977), 87-96. MR 0555861 |
| . |
