# cupgtr.f(3) [debian man page]

cupgtr.f(3) LAPACK cupgtr.f(3)NAME

cupgtr.f-SYNOPSIS

Functions/Subroutines subroutine cupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) CUPGTRFunction/Subroutine Documentation subroutine cupgtr (characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( * )TAU, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( * )WORK, integerINFO) CUPGTR Purpose: CUPGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by CHPTRD using packed storage: if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). Parameters: UPLO UPLO is CHARACTER*1 = 'U': Upper triangular packed storage used in previous call to CHPTRD; = 'L': Lower triangular packed storage used in previous call to CHPTRD. N N is INTEGER The order of the matrix Q. N >= 0. AP AP is COMPLEX array, dimension (N*(N+1)/2) The vectors which define the elementary reflectors, as returned by CHPTRD. TAU TAU is COMPLEX array, dimension (N-1) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CHPTRD. Q Q is COMPLEX array, dimension (LDQ,N) The N-by-N unitary matrix Q. LDQ LDQ is INTEGER The leading dimension of the array Q. LDQ >= max(1,N). WORK WORK is COMPLEX array, dimension (N-1) INFO INFO is INTEGER = 0: successful exit < 0: if INFO =, the i-th argument had an illegal value Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 115 of file cupgtr.f.-iAuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.1Sun May 26 2013 cupgtr.f(3)

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zupgtr.f(3) LAPACK zupgtr.f(3)NAME

zupgtr.f-SYNOPSIS

Functions/Subroutines subroutine zupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) ZUPGTRFunction/Subroutine Documentation subroutine zupgtr (characterUPLO, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )TAU, complex*16, dimension( ldq, * )Q, integerLDQ, complex*16, dimension( * )WORK, integerINFO) ZUPGTR Purpose: ZUPGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by ZHPTRD using packed storage: if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). Parameters: 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. N N is INTEGER The order of the matrix Q. N >= 0. AP AP is COMPLEX*16 array, dimension (N*(N+1)/2) The vectors which define the elementary reflectors, as returned by ZHPTRD. TAU TAU is COMPLEX*16 array, dimension (N-1) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZHPTRD. Q Q is COMPLEX*16 array, dimension (LDQ,N) The N-by-N unitary matrix Q. LDQ LDQ is INTEGER The leading dimension of the array Q. LDQ >= max(1,N). WORK WORK is COMPLEX*16 array, dimension (N-1) INFO INFO is INTEGER = 0: successful exit < 0: if INFO =, the i-th argument had an illegal value Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 115 of file zupgtr.f.-iAuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.1Sun May 26 2013 zupgtr.f(3)