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NAG Parallel Library Routine Document

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Note: before using this routine, please read the Users ’ Note for your implementation to check for implementation-dependent details. You are advised to enclose any calls to NAG Parallel Library routines between calls to Z01AAFP and Z01ABFP. 1 Description F08JXFP (PZSTEIN) computes the eigenvectors of an n by n real symmetric tridiagonal matrix T using inverse iteration. This routine is identical to F08JKFP (PDSTEIN) except that the eigenvectors are stored in a complex arrayinstead in a real array. F08JXFP (PZSTEIN) is mainlyintended to be used in the solution of the dense complex Hermitian eigenvalue problem. Note that the eigenvectors of a real symmetric tridiagonal matrix are real. The computed eigenvectors correspond to m user specified eigenvalues. The computed eigenvectors are are in a (complex) submatrix Zs of a larger mZ by nZ (complex) matrix Z, i.e., Zs ≡ Z(iZ: iZ + n − 1,jZ: jZ + m − 1). Note: if iZ = jZ =1andm = mZ, n = nZ, thenZs≡Z. The columns of Zs give the computed eigenvectors which correspond to the eigenvalues in the ascending order. This routine is designed to be used in particular after specified eigenvalues have been computed b

Topics: DOUBLE PRECISION D, E, W, ORFAC
Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.177.8678
Provided by: CiteSeerX
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