๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A series of identities for the coefficients of inverse matrices on a Hamming scheme

โœ Scribed by Miwako Mishima; Masakazu Jimbo


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
213 KB
Volume
156
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, a series of identities concerned with inverse matrices of a linear combination of association matrices on Hamming schemes is given, which is useful in the field of statistical design of experiments.


๐Ÿ“œ SIMILAR VOLUMES


Inclusions and Identities for the Moore-
โœ C. W. Groetsch ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 334 KB ๐Ÿ‘ 1 views

A number of operator inclusions, and identities, involving the Moore-Penrose inverse of a closed densely defined linear operator, are presented. Some of these inclusions generalize known identities in the case when the operator is bounded and has closed range. An application to a known compactness c

A fast algorithm for the inversion of ge
โœ P.G. Martinsson; V. Rokhlin; M. Tygert ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 590 KB

we propose a "fast" algorithm for the construction of a data-sparse inver'~ of a general Toeplitz matrix. The computational cost for inverting an N ร— N Toeplitz matrix equals the cost of four length-N FFTs plus an O(N)-term. This cost should be compared to the O(Nlog2N) cost of previously published

A p-adic algorithm for computing the inv
โœ H. Haramoto; M. Matsumoto ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 270 KB

A method for computing the inverse of an (n ร— n) integer matrix A using p-adic approximation is given. The method is similar to Dixon's algorithm, but ours has a quadratic convergence rate. The complexity of this algorithm (without using FFT or fast matrix multiplication) is O(n 4 (log n) 2 ), the s