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Proof of the van der Waerden conjecture for permanents

โœ Scribed by G. P. Erorychev


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
464 KB
Volume
22
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Elementary proof for a Van der Waerden's
โœ B. Gyires ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 606 KB

A well-known conjecture of Van der Waerden says that for the permanent Per A of an n x n doubly stochastic matrix A we have (3.0), with equality if and only if all entries of the matrix A equal to n -1. In 1977 [1], the author proved that if A is an n ร— n doubly stochastic matrix, and p > 0, q > 0,

A simple solution of the van der Waerden
โœ Morgan A. Hanson ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer US ๐ŸŒ English โš– 308 KB

The van der Waerden permanent problem was solved using mainly algebraic methods. A much simpler analytic proof is given using a new concept in optimization theory which may be of importance in the general theory of mathematical programming.