
NAMEzupmtr.f SYNOPSISFunctions/Subroutinessubroutine zupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) Function/Subroutine Documentationsubroutine zupmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK, integerINFO)ZUPMTR Purpose:ZUPMTR overwrites the general complex MbyN matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq1 elementary reflectors, as returned by ZHPTRD using packed storage: if UPLO = 'U', Q = H(nq1) . . . H(2) H(1); if UPLO = 'L', Q = H(1) H(2) . . . H(nq1). SIDE
Author:
SIDE is CHARACTER*1 = 'L': apply Q or Q**H from the Left; = 'R': apply Q or Q**H from the Right.UPLO UPLO is CHARACTER*1 = 'U': Upper triangular packed storage used in previous call to ZHPTRD; = 'L': Lower triangular packed storage used in previous call to ZHPTRD.TRANS TRANS is CHARACTER*1 = 'N': No transpose, apply Q; = 'C': Conjugate transpose, apply Q**H.M M is INTEGER The number of rows of the matrix C. M >= 0.N N is INTEGER The number of columns of the matrix C. N >= 0.AP AP is COMPLEX*16 array, dimension (M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by ZHPTRD. AP is modified by the routine but restored on exit.TAU TAU is COMPLEX*16 array, dimension (M1) if SIDE = 'L' or (N1) if SIDE = 'R' TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZHPTRD.C C is COMPLEX*16 array, dimension (LDC,N) On entry, the MbyN matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.LDC LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M).WORK WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' (M) if SIDE = 'R'INFO INFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 150 of file zupmtr.f.
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