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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_slarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | SLARZ: applies a real elementary reflector H to a real M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**T where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. H is a product of k elementary reflectors as returned by STZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dlarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | DLARZ: applies a real elementary reflector H to a real M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**T where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. H is a product of k elementary reflectors as returned by DTZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qlarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | QLARZ: applies a real elementary reflector H to a real M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**T where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. H is a product of k elementary reflectors as returned by QTZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_slarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | SLARZB: applies a real block reflector H or its transpose H**T to a real distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dlarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | DLARZB: applies a real block reflector H or its transpose H**T to a real distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qlarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | QLARZB: applies a real block reflector H or its transpose H**T to a real distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_slarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | SLARZT: forms the triangular factor T of a real block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**T If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**T * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dlarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | DLARZT: forms the triangular factor T of a real block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**T If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**T * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qlarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | QLARZT: forms the triangular factor T of a real block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**T If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**T * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_sormr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | SORMR3: overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**T* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**T if SIDE = 'R' and TRANS = 'C', where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by STZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dormr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | DORMR3: overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**T* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**T if SIDE = 'R' and TRANS = 'C', where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by DTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qormr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | QORMR3: overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**T* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**T if SIDE = 'R' and TRANS = 'C', where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by QTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_sormrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | SORMRZ: overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by STZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dormrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | DORMRZ: overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by DTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qormrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | QORMRZ: overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by QTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_slatrz (m, n, l, a, lda, tau, work) |
| | SLATRZ: factors the M-by-(M+L) real upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z, by means of orthogonal transformations. Z is an (M+L)-by-(M+L) orthogonal matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dlatrz (m, n, l, a, lda, tau, work) |
| | DLATRZ: factors the M-by-(M+L) real upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z, by means of orthogonal transformations. Z is an (M+L)-by-(M+L) orthogonal matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qlatrz (m, n, l, a, lda, tau, work) |
| | QLATRZ: factors the M-by-(M+L) real upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z, by means of orthogonal transformations. Z is an (M+L)-by-(M+L) orthogonal matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_stzrzf (m, n, a, lda, tau, work, lwork, info) |
| | STZRZF: reduces the M-by-N ( M<=N ) real upper trapezoidal matrix A to upper triangular form by means of orthogonal transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N orthogonal matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_dtzrzf (m, n, a, lda, tau, work, lwork, info) |
| | DTZRZF: reduces the M-by-N ( M<=N ) real upper trapezoidal matrix A to upper triangular form by means of orthogonal transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N orthogonal matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_qtzrzf (m, n, a, lda, tau, work, lwork, info) |
| | QTZRZF: reduces the M-by-N ( M<=N ) real upper trapezoidal matrix A to upper triangular form by means of orthogonal transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N orthogonal matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_clarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | CLARZ: applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau. H is a product of k elementary reflectors as returned by CTZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zlarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | ZLARZ: applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau. H is a product of k elementary reflectors as returned by ZTZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wlarz (side, m, n, l, v, incv, tau, c, ldc, work) |
| | WLARZ: applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau. H is a product of k elementary reflectors as returned by WTZRZF.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_clarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | CLARZB: applies a complex block reflector H or its transpose H**H to a complex distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zlarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | ZLARZB: applies a complex block reflector H or its transpose H**H to a complex distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wlarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | WLARZB: applies a complex block reflector H or its transpose H**H to a complex distributed M-by-N C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_clarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | CLARZT: forms the triangular factor T of a complex block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**H If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**H * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zlarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | ZLARZT: forms the triangular factor T of a complex block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**H If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**H * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wlarzt (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | WLARZT: forms the triangular factor T of a complex block reflector H of order > n, which is defined as a product of k elementary reflectors. If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. If STOREV = 'C', the vector which defines the elementary reflector H(i) is stored in the i-th column of the array V, and H = I - V * T * V**H If STOREV = 'R', the vector which defines the elementary reflector H(i) is stored in the i-th row of the array V, and H = I - V**H * T * V Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_clatrz (m, n, l, a, lda, tau, work) |
| | CLATRZ: factors the M-by-(M+L) complex upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means of unitary transformations, where Z is an (M+L)-by-(M+L) unitary matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zlatrz (m, n, l, a, lda, tau, work) |
| | ZLATRZ: factors the M-by-(M+L) complex upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means of unitary transformations, where Z is an (M+L)-by-(M+L) unitary matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wlatrz (m, n, l, a, lda, tau, work) |
| | WLATRZ: factors the M-by-(M+L) complex upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means of unitary transformations, where Z is an (M+L)-by-(M+L) unitary matrix and, R and A1 are M-by-M upper triangular matrices.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_ctzrzf (m, n, a, lda, tau, work, lwork, info) |
| | CTZRZF: reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_ztzrzf (m, n, a, lda, tau, work, lwork, info) |
| | ZTZRZF: reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wtzrzf (m, n, a, lda, tau, work, lwork, info) |
| | WTZRZF: reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular form by means of unitary transformations. The upper trapezoidal matrix A is factored as A = ( R 0 ) * Z, where Z is an N-by-N unitary matrix and R is an M-by-M upper triangular matrix.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_cunmr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | CUNMR3: overwrites the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**H* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**H if SIDE = 'R' and TRANS = 'C', where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by CTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zunmr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | ZUNMR3: overwrites the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**H* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**H if SIDE = 'R' and TRANS = 'C', where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by ZTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wunmr3 (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info) |
| | WUNMR3: overwrites the general complex m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**H* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**H if SIDE = 'R' and TRANS = 'C', where Q is a complex unitary matrix defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by WTZRZF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_cunmrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | CUNMRZ: overwrites the general complex M-by-N 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 defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by CTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_zunmrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | ZUNMRZ: overwrites the general complex M-by-N 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 defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by ZTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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| pure subroutine, public | la_lapack_orthogonal_factors_rz::la_wunmrz (side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info) |
| | WUNMRZ: overwrites the general complex M-by-N 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 defined as the product of k elementary reflectors Q = H(1) H(2) . . . H(k) as returned by WTZRZF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
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1.13.2