๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Minimum permanents on a face of the polytope of doubly stochastic matrices

โœ Scribed by Seok-Zun Song; Sung Min Hong; Young-Bae Jun; Seon-Jeong Kim

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
619 KB
Volume
259
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

โœฆ Synopsis

For n 3 6, we determine the minimum permanents and minimizing matrices on the faces of R3+,, the polytope of (3 + n) x (3 + n) doubly stochastic matrices.

whose nonzero entries coincide with those of where J is the matrix with all entries equal 1, I the identity matrix, and 0 the zero matrix.

๐Ÿ“œ SIMILAR VOLUMES

Minimum permanents on two faces of the p
Minimum permanents on two faces of the polytope of doubly stochastic matrices
โœ Kyle Pula; Seok-Zun Song; Ian M. Wanless ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

We consider the minimum permanents and minimising matrices on the faces of the polytope of doubly stochastic matrices whose nonzero entries coincide with those of, respectively, . Here J r,s denotes the r ร— s matrix all of whose entries are 1, I n is the identity matrix of order n and 0 m is the m