| Title:
|
On the Morávek and Vlach conditions for the existence of a solution to the multi-index problem (English) |
| Author:
|
Smith, Graham |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
20 |
| Issue:
|
6 |
| Year:
|
1975 |
| Pages:
|
432-435 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The smallest prossible example of a 3 index multi-index problem which satisfies the 1967 Morávek and Vlach conditions but does not have a solution is given. () |
| MSC:
|
90C05 |
| idZBL:
|
Zbl 0323.90030 |
| idMR:
|
MR0446492 |
| DOI:
|
10.21136/AM.1975.103610 |
| . |
| Date available:
|
2008-05-20T18:02:42Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103610 |
| . |
| Reference:
|
[1] K. B. Haley: Note on the Letter by Morávek and Vlach.Opns. Res. 15 (1967), 545-546. 10.1287/opre.15.3.545 |
| Reference:
|
[2] J. Morávek M. Vlach: On the Necessary Conditions for the Existence of a Solution to the Multi-index Problem.Opns. Res. 15 (1967), 542-545. 10.1287/opre.15.3.542 |
| Reference:
|
[3] J. Morávek M. Vlach: On Necessary Conditions for a Class of Systems of Linear Inequalities.Aplikace Matematiky 13 (1968), 299-303. MR 0240119 |
| Reference:
|
[4] G. Smith: Further Necessary Conditions for the Existence of a Solution to the Multi-Index Problem.Opns. Res. 21 (1973), 380-386. Zbl 0259.90021, MR 0373592, 10.1287/opre.21.1.380 |
| Reference:
|
[5] G. Smith: A Procedure for Determining Necessary and Sufficient Conditions for the Existence of a Solution to the Multi-Index Problem.Aplikace Matematiky 19 (1974), 177-183. Zbl 0284.90056, MR 0349219 |
| . |