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On Numerical Properties of Complex Symmetric Householder Matrices
SMOKTUNOWICZ, ALICJA,GRABARSKI, ADAM 한국산업정보응용수학회 2003 한국산업정보응용수학회 Vol.7 No.2
Analysis is given of construction and stability of complex symmetric analogues of Householder matrices, with applications to the eigenproblem for such matrices. We investigate numerical properties of the deflation of complex symmetric matrices by using complex symmetric Householder transformations. The proposed method is very similar to the well-known deflation technique for real symmetric matrices (Cf. [16], pp. 586-595). In this paper we present an error analysis of one step of the deflation of complex symmetric matrices.