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| pure subroutine, public | la_lapack_householder_reflectors::la_slarf (side, m, n, v, incv, tau, c, ldc, work) |
| | SLARF: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarf (side, m, n, v, incv, tau, c, ldc, work) |
| | DLARF: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarf (side, m, n, v, incv, tau, c, ldc, work) |
| | QLARF: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_slarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | SLARFB: applies a real block reflector H or its transpose H**T to a real m by n matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | DLARFB: applies a real block reflector H or its transpose H**T to a real m by n matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | QLARFB: applies a real block reflector H or its transpose H**T to a real m by n matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_slarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | SLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | DLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | QLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_slarfx (side, m, n, v, tau, c, ldc, work) |
| | SLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarfx (side, m, n, v, tau, c, ldc, work) |
| | DLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarfx (side, m, n, v, tau, c, ldc, work) |
| | QLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_slarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | SLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n symmetric matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | DLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n symmetric matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | QLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n symmetric matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_slarfg (n, alpha, x, incx, tau) |
| | SLARFG: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= tau <= 2.
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| pure subroutine, public | la_lapack_householder_reflectors::la_dlarfg (n, alpha, x, incx, tau) |
| | DLARFG: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= tau <= 2.
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| pure subroutine, public | la_lapack_householder_reflectors::la_qlarfg (n, alpha, x, incx, tau) |
| | QLARFG: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= tau <= 2.
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| subroutine, public | la_lapack_householder_reflectors::la_slarfgp (n, alpha, x, incx, tau) |
| | SLARFGP: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is non-negative, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix.
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| subroutine, public | la_lapack_householder_reflectors::la_dlarfgp (n, alpha, x, incx, tau) |
| | DLARFGP: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is non-negative, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix.
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| subroutine, public | la_lapack_householder_reflectors::la_qlarfgp (n, alpha, x, incx, tau) |
| | QLARFGP: generates a real elementary reflector H of order n, such that H * ( alpha ) = ( beta ), H**T * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is non-negative, and x is an (n-1)-element real vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**T ) , ( v ) where tau is a real scalar and v is a real (n-1)-element vector. If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarf (side, m, n, v, incv, tau, c, ldc, work) |
| | CLARF: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarf (side, m, n, v, incv, tau, c, ldc, work) |
| | ZLARF: 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, supply conjg(tau) instead tau.
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarf (side, m, n, v, incv, tau, c, ldc, work) |
| | WLARF: 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, supply conjg(tau) instead tau.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | CLARFB: applies a complex block reflector H or its transpose H**H to a complex M-by-N matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | ZLARFB: applies a complex block reflector H or its transpose H**H to a complex M-by-N matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarfb (side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork) |
| | WLARFB: applies a complex block reflector H or its transpose H**H to a complex M-by-N matrix C, from either the left or the right.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarfg (n, alpha, x, incx, tau) |
| | CLARFG: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 .
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarfg (n, alpha, x, incx, tau) |
| | ZLARFG: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 .
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarfg (n, alpha, x, incx, tau) |
| | WLARFG: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 .
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| subroutine, public | la_lapack_householder_reflectors::la_clarfgp (n, alpha, x, incx, tau) |
| | CLARFGP: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is real and non-negative, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix.
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| subroutine, public | la_lapack_householder_reflectors::la_zlarfgp (n, alpha, x, incx, tau) |
| | ZLARFGP: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is real and non-negative, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix.
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| subroutine, public | la_lapack_householder_reflectors::la_wlarfgp (n, alpha, x, incx, tau) |
| | WLARFGP: generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is real and non-negative, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | CLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | ZLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
| | WLARFT: 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.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarfx (side, m, n, v, tau, c, ldc, work) |
| | CLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarfx (side, m, n, v, tau, c, ldc, work) |
| | ZLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarfx (side, m, n, v, tau, c, ldc, work) |
| | WLARFX: 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 This version uses inline code if H has order < 11.
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| pure subroutine, public | la_lapack_householder_reflectors::la_clarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | CLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n Hermitian matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_zlarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | ZLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n Hermitian matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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| pure subroutine, public | la_lapack_householder_reflectors::la_wlarfy (uplo, n, v, incv, tau, c, ldc, work) |
| | WLARFY: applies an elementary reflector, or Householder matrix, H, to an n x n Hermitian matrix C, from both the left and the right. H is represented in the form H = I - tau * v * v' where tau is a scalar and v is a vector. If tau is zero, then H is taken to be the unit matrix.
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1.13.2