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The Matrix Golden Mean and Its Applications to Riccati Matrix Equations

โœ Scribed by Lim, Yongdo


Book ID
118215908
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
180 KB
Volume
29
Category
Article
ISSN
0895-4798

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A combinatorial application of matrix Ri
โœ G.B. Collins; J.P. Goulden; D.M. Jackson; A.M. Nierstrasz ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 737 KB

The generating functions for a large class of combinatorial problems involving the enumeration of permutations may be expressed as solutions to matrix Riccati equations. We show that the generating functions for the permutation problem in which the number of inversions is also preserved form a syste