๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the diagonal scaling of Euclidean distance matrices to doubly stochastic matrices

โœ Scribed by Charles R. Johnson; Robert D. Masson; Michael W. Trosset


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
220 KB
Volume
397
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the nonnegative rank of Euclidean dis
โœ Matthew M. Lin; Moody T. Chu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

The Euclidean distance matrix for distinct points in โ„ is generically of rank + 2. It is shown in this paper via a geometric argument that its nonnegative rank for the case = 1 is generically .

Minimum permanents on a face of the poly
โœ Seok-Zun Song; Sung Min Hong; Young-Bae Jun; Seon-Jeong Kim ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

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.

Minimum permanents on two faces of the p
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