Geodesic
On the Morávek and Vlach conditions for the existence of a solution to the multi-index problem
Applications of Mathematics, Tome 20 (1975) no. 6, pp. 432-435
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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.
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.
DOI : 10.21136/AM.1975.103610
Classification : 90C05 
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Smith, Graham. On the Morávek and Vlach conditions for the existence of a solution to the multi-index problem. Applications of Mathematics, Tome 20 (1975) no. 6, pp. 432-435. doi: 10.21136/AM.1975.103610

[1] K. B. Haley: Note on the Letter by Morávek and Vlach. Opns. Res. 15 (1967), 545-546. | DOI

[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. | DOI

[3] J. Morávek M. Vlach: On Necessary Conditions for a Class of Systems of Linear Inequalities. Aplikace Matematiky 13 (1968), 299-303. | MR

[4] G. Smith: Further Necessary Conditions for the Existence of a Solution to the Multi-Index Problem. Opns. Res. 21 (1973), 380-386. | DOI | MR | Zbl

[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. | MR | Zbl

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