table of contents
| dot(3) | Library Functions Manual | dot(3) |
NAME¶
dot - dot: x^H x and x^T x
SYNOPSIS¶
Functions¶
complex function CDOTC (n, cx, incx, cy, incy)
CDOTC complex function CDOTU (n, cx, incx, cy, incy)
CDOTU double precision function DDOT (n, dx, incx, dy, incy)
DDOT double precision function DSDOT (n, sx, incx, sy, incy)
DSDOT real function SDOT (n, sx, incx, sy, incy)
SDOT real function SDSDOT (n, sb, sx, incx, sy, incy)
SDSDOT complex *16 function ZDOTC (n, zx, incx, zy, incy)
ZDOTC complex *16 function ZDOTU (n, zx, incx, zy, incy)
ZDOTU
Detailed Description¶
Function Documentation¶
complex function CDOTC (integer n, complex, dimension(*) cx, integer incx, complex, dimension(*) cy, integer incy)¶
CDOTC
Purpose:
!> !> CDOTC forms the dot product of two complex vectors !> CDOTC = X^H * Y !> !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
CX
!> CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of CX !>
CY
!> CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of CY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 82 of file cdotc.f.
complex function CDOTU (integer n, complex, dimension(*) cx, integer incx, complex, dimension(*) cy, integer incy)¶
CDOTU
Purpose:
!> !> CDOTU forms the dot product of two complex vectors !> CDOTU = X^T * Y !> !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
CX
!> CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of CX !>
CY
!> CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of CY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 82 of file cdotu.f.
double precision function DDOT (integer n, double precision, dimension(*) dx, integer incx, double precision, dimension(*) dy, integer incy)¶
DDOT
Purpose:
!> !> DDOT forms the dot product of two vectors. !> uses unrolled loops for increments equal to one. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
DX
!> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of DX !>
DY
!> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of DY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 81 of file ddot.f.
double precision function DSDOT (integer n, real, dimension(*) sx, integer incx, real, dimension(*) sy, integer incy)¶
DSDOT
Purpose:
!> !> Compute the inner product of two vectors with extended !> precision accumulation and result. !> !> Returns D.P. dot product accumulated in D.P., for S.P. SX and SY !> DSDOT = sum for I = 0 to N-1 of SX(LX+I*INCX) * SY(LY+I*INCY), !> where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is !> defined in a similar way using INCY. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
SX
!> SX is REAL array, dimension(N) !> single precision vector with N elements !>
INCX
!> INCX is INTEGER !> storage spacing between elements of SX !>
SY
!> SY is REAL array, dimension(N) !> single precision vector with N elements !>
INCY
!> INCY is INTEGER !> storage spacing between elements of SY !>
Returns
!> DSDOT is DOUBLE PRECISION !> DSDOT double precision dot product (zero if N.LE.0) !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!>
References:
!> !> !> C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T. !> Krogh, Basic linear algebra subprograms for Fortran !> usage, Algorithm No. 539, Transactions on Mathematical !> Software 5, 3 (September 1979), pp. 308-323. !> !> REVISION HISTORY (YYMMDD) !> !> 791001 DATE WRITTEN !> 890831 Modified array declarations. (WRB) !> 890831 REVISION DATE from Version 3.2 !> 891214 Prologue converted to Version 4.0 format. (BAB) !> 920310 Corrected definition of LX in DESCRIPTION. (WRB) !> 920501 Reformatted the REFERENCES section. (WRB) !> 070118 Reformat to LAPACK style (JL) !>
Definition at line 118 of file dsdot.f.
real function SDOT (integer n, real, dimension(*) sx, integer incx, real, dimension(*) sy, integer incy)¶
SDOT
Purpose:
!> !> SDOT forms the dot product of two vectors. !> uses unrolled loops for increments equal to one. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
SX
!> SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of SX !>
SY
!> SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of SY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, linpack, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 81 of file sdot.f.
real function SDSDOT (integer n, real sb, real, dimension(*) sx, integer incx, real, dimension(*) sy, integer incy)¶
SDSDOT
Purpose:
!> !> Compute the inner product of two vectors with extended !> precision accumulation. !> !> Returns S.P. result with dot product accumulated in D.P. !> SDSDOT = SB + sum for I = 0 to N-1 of SX(LX+I*INCX)*SY(LY+I*INCY), !> where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is !> defined in a similar way using INCY. !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
SB
!> SB is REAL !> single precision scalar to be added to inner product !>
SX
!> SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !> single precision vector with N elements !>
INCX
!> INCX is INTEGER !> storage spacing between elements of SX !>
SY
!> SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !> single precision vector with N elements !>
INCY
!> INCY is INTEGER !> storage spacing between elements of SY !>
Author
Kincaid, D. R., (U. of Texas), Krogh, F. T., (JPL)
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> REFERENCES !> !> C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T. !> Krogh, Basic linear algebra subprograms for Fortran !> usage, Algorithm No. 539, Transactions on Mathematical !> Software 5, 3 (September 1979), pp. 308-323. !> !> REVISION HISTORY (YYMMDD) !> !> 791001 DATE WRITTEN !> 890531 Changed all specific intrinsics to generic. (WRB) !> 890831 Modified array declarations. (WRB) !> 890831 REVISION DATE from Version 3.2 !> 891214 Prologue converted to Version 4.0 format. (BAB) !> 920310 Corrected definition of LX in DESCRIPTION. (WRB) !> 920501 Reformatted the REFERENCES section. (WRB) !> 070118 Reformat to LAPACK coding style !>
Definition at line 112 of file sdsdot.f.
complex*16 function ZDOTC (integer n, complex*16, dimension(*) zx, integer incx, complex*16, dimension(*) zy, integer incy)¶
ZDOTC
Purpose:
!> !> ZDOTC forms the dot product of two complex vectors !> ZDOTC = X^H * Y !> !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
ZX
!> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of ZX !>
ZY
!> ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of ZY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 82 of file zdotc.f.
complex*16 function ZDOTU (integer n, complex*16, dimension(*) zx, integer incx, complex*16, dimension(*) zy, integer incy)¶
ZDOTU
Purpose:
!> !> ZDOTU forms the dot product of two complex vectors !> ZDOTU = X^T * Y !> !>
Parameters
!> N is INTEGER !> number of elements in input vector(s) !>
ZX
!> ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) !>
INCX
!> INCX is INTEGER !> storage spacing between elements of ZX !>
ZY
!> ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) !>
INCY
!> INCY is INTEGER !> storage spacing between elements of ZY !>
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> jack dongarra, 3/11/78. !> modified 12/3/93, array(1) declarations changed to array(*) !>
Definition at line 82 of file zdotu.f.
Author¶
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