2007•Journal of Northeast Normal UniversityRequires access
The k-generalized unitary matrices
Yuan Hui-ping
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Abstract
The concepts of k-generalized unitary matrix are given,its properties and relations between they and unitary matrix,symplectic matrix,Householder matrix,Hermite matrix,Hamilton matrix and generalized inverse matrix are studied.Moreover,the corresponding results on relations among unitary matrix,Hermite matrix,anti-Hermite matrix and Householder matrix are popularized,especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix.