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"A block reflector is an orthogonal, symmetric matrix that reverses a subspace whose dimension may be greater than one." * see abstract here http://locus.siam.org/SINUM/volume-25/art_0725014.html It is built out of many elementary reflectors. It is also referred to as a triangular factor, and is a triangular matrix and they are used in the Householder transformation. A reflector belonging to can be written in the form : where is the identity matrix for , is a scalar and belongs to . ==LAPACK routines== Here are some of the LAPACK routines that apply to block reflectors * " *larft" forms the triangular vector T of a block reflector H=I-VTVH. * " *larzb" applies a block reflector or its transpose/conjugate transpose as returned by " *tzrzf" to a general matrix. * " *larzt" forms the triangular vector T of a block reflector H=I-VTVH as returned by " *tzrzf". * " *larfb" applies a block reflector or its transpose/conjugate transpose to a general rectangular matrix. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Block reflector」の詳細全文を読む スポンサード リンク
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