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Translating the method of reduced matrices to machines

โœ Scribed by Bernard A. Galler; Paul S. Dwyer

Publisher
John Wiley and Sons
Year
1957
Tongue
English
Weight
867 KB
Volume
4
Category
Article
ISSN
0894-069X

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โœฆ Synopsis

De p a r t m e n i: o f M a t h e m a t I c s , An additional feature is that the machine process is the same for k = 2, 3, 4, . . .

. No special

An objective of the method, then, is to provide techniques which a r e especially designed

๐Ÿ“œ SIMILAR VOLUMES

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We present an algorithm that generates all reduced idempotents in the semigroup of \(n \times n\) Boolean matrices. As a consequence, we obtain a method of listing all partial order relations on a finite set with \(n\) elements.

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We describe a way of obtaining new weighing matrices from old, which we call weaving because it involves distributing rows and columns of given matrices along the columns and rows of an array to form a partitioned matrix whose blocks have rank one. The method generalizes both the direct sum and dire