2009Journal of Nantong UniversityRequires access

The K-Sub-Orthogonal Matrix and Its Properties

Cai Wu-fang

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Abstract

Referring to the methods of defining sub-orthogonal matrix,we give the concept of K-quasi-sub-orthogonal matrix and obtain the properties of its generalized matrices.Moreover,we examine respectively the properties of the K-anti-sub-orthogonal matrices which are the special cases of K-sub-orthogonal matrix and present the relations among these generalized matrices.

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Referring to the methods of defining sub-orthogonal matrix,we give the concept of K-quasi-sub-orthogonal matrix and obtain the properties of its generalized matrices.Moreover,we examine respectively the properties of the K-anti-sub-orthogonal matrices which are the special cases of K-sub-orthogonal matrix and present the relations among these generalized matrices.

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Available abstract

Referring to the methods of defining sub-orthogonal matrix,we give the concept of K-quasi-sub-orthogonal matrix and obtain the properties of its generalized matrices.Moreover,we examine respectively the properties of the K-anti-sub-orthogonal matrices which are the special cases of K-sub-orthogonal matrix and present the relations among these generalized matrices.

Key concepts: Orthogonal matrix, Matrix (chemical analysis), Mathematics, Orthogonal basis, Pure mathematics, Orthogonal array, Orthogonal functions, Orthogonal transformation

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