| Title:
|
Interval solutions of linear interval equations (English) |
| Author:
|
Rohn, Jiří |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
220-224 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that if the concept of an interval solution to a system of linear interval equations given by Ratschek and Sauer is slightly modified, then only two nonlinear equations are to be solved to find a modified interval solution or to verify that no such solution exists. (English) |
| Keyword:
|
linear systems |
| Keyword:
|
interval arithmetic |
| Keyword:
|
interval solution |
| Keyword:
|
interval matrix |
| Keyword:
|
interval vector |
| MSC:
|
15A06 |
| MSC:
|
65F30 |
| MSC:
|
65G10 |
| MSC:
|
65G30 |
| MSC:
|
65H05 |
| MSC:
|
65H10 |
| idZBL:
|
Zbl 0716.65047 |
| idMR:
|
MR1052743 |
| DOI:
|
10.21136/AM.1990.104406 |
| . |
| Date available:
|
2008-05-20T18:39:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104406 |
| . |
| Reference:
|
[1] W. Barth E. Nuding: Optimale Lösung von Intervallgleichungssystemen.Computing 12 (1974), 117-125. MR 0398075, 10.1007/BF02260368 |
| Reference:
|
[2] H. Beeck: Zur Problematik der Hüllenbestimmung von Intervallgleichungssystemen.in: Interval Mathematics (K. Nickel, Ed.). Lecture Notes, Springer 1975, 150-159. Zbl 0303.65025, 10.1007/3-540-07170-9_12 |
| Reference:
|
[3] E. Hansen: On Linear Algebraic Equations with Interval Coefficients.in: Topics in Interval Analysis (E. Hansen, Ed.). Clarendon Press, Oxford 1969. |
| Reference:
|
[4] R. E. Moore: Interval Analysis.Prentice-Hall, Englewood Cliffs 1966. Zbl 0176.13301, MR 0231516 |
| Reference:
|
[5] K. Nickel: Die Auflösbarkeit linearer Kreisscheiben- und Intervall-Gleichungssysteme.Freiburger Intervall-Berichte 81/3, 11 - 46. Zbl 0483.65019 |
| Reference:
|
[6] W. Oettli W. Prager: Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides.Numerische Mathematik 6 (1964), 405-409. MR 0168106, 10.1007/BF01386090 |
| Reference:
|
[7] H. Ratschek W. Sauer: Linear Interval Equations.Computing 28 (1982), 105-115. MR 0653366, 10.1007/BF02241817 |
| Reference:
|
[8] J. Rohn: Some Results on Interval Linear Systems.Freiburger Intervall-Berichte 85/4, 93-116. |
| Reference:
|
[9] J. Rohn: A Note on Solving Equations of Турe $A^1 x^1 = b^1$.Freiburger Intervall-Berichte 86/4, 29-31. |
| . |
