نتایج جستجو برای: orthogonal dual matrix

تعداد نتایج: 555372  

Journal: :SIAM J. Math. Analysis 2001
Howard L. Resnikoff Jun Tian Raymond O. Wells

In this paper we study the algebraic and geometric structure of the space of compactly supported biorthogonal wavelets. We prove that any biorthogonal wavelet matrix pair (which consists of the scaling lters and wavelet lters) can be factored as the product of primitive parau-nitary matrices, a pseudo identity matrix pair, an invertible matrix, and the canonical Haar matrix. Compared with the f...

2017
Francisco Carvalho Joao T. Mexia Carla Santos FRANCISCO CARVALHO JOÃO T. MEXIA CARLA SANTOS

A model has orthogonal block structure, OBS, if it has variance-covariance matrix that is a linear combination of known pairwise orthogonal orthogonal projection matrices that sum to the identity matrix. These models were introduced by Nelder is 1965, and continue to play an important part in randomized block designs. Two important types of OBS are related, and necessary and sufficient conditio...

2013
FRANCISCO CARVALHO CARLA SANTOS C. Santos

A model has orthogonal block structure, OBS, if it has variance-covariance matrix that is a linear combination of known pairwise orthogonal orthogonal projection matrices that sum to the identity matrix. These models were introduced by Nelder is 1965, and continue to play an important part in randomized block designs. Two important types of OBS are related, and necessary and sufficient conditio...

Journal: :CoRR 2016
Minjia Shi Lin Sok Patrick Solé

In this paper, we give algorithms and methods of construction of self-dual codes over finite fields using orthogonal matrices. Randomization in the orthogonal group, and code extension are the main tools. Some optimal, almost MDS, and MDS self-dual codes over both small and large prime fields are constructed.

Journal: :INFORMS Journal on Computing 1997
Jacek Gondzio

Several issues concerning an analysis of large and sparse linear programming problems prior to solving them with an interior point based optimizer are addressed in this paper. Three types of presolve procedures are distinguished. Routines from the rst class repeatedly analyze an LP problem formulation: eliminate empty or singleton rows and columns, look for primal and dual forcing or dominated ...

2011
Nemat Abazari N. Abazari

In this paper, the tangent, binormal, normal and unit Darboux vectors of the dual curve on the one–parameter dual spherical motion are obtained with respect to a unit dual orthogonal frame for dual 3–space D.

Journal: :international journal of group theory 2014
barry hurley ted hurley

design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structures are presented. these include techniques for designing non-separable multidimensional paraunitary matrices. properties of the structures are obtained and proofs given. paraunitary matrices play a central role in signal processing, in particular in the areas of filterbanks and wavelets.

2013
Ulrich Dempwolff William M. Kantor

Orthogonal spreads in orthogonal spaces of type V (2n + 2, 2) produce large numbers of rank n dual hyperovals in orthogonal spaces of type V (2n, 2). The construction resembles the method for obtaining symplectic spreads in V (2n, q) from orthogonal spreads in V (2n + 2, q) when q is even.

2017
Lijing Zhou Licheng Wang Yiru Sun

In present paper, we investigate 4 problems. Firstly, it is known that, a matrix is MDS if and only if all sub-matrices of this matrix of degree from 1 to n are full rank. In this paper, we propose a theorem that an orthogonal matrix is MDS if and only if all sub-matrices of this orthogonal matrix of degree from 1 to bn2 c are full rank. With this theorem, calculation of constructing orthogonal...

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