Procedures

\brief \b CAXPY \par Purpose:

November 2017

\brief \b CCOPY \par Purpose:

date:November 2017

\brief \b CDOTC \par Purpose:

CDOTC forms the dot product of two complex vectors

\brief \b CDOTU \par Purpose:

CDOTU forms the dot product of two complex vectors

\brief \b CGBMV \par Purpose:

CGBMV performs one of the matrix-vector operations

\brief \b CGEMM \par Purpose:

CGEMM performs one of the matrix-matrix operations

\brief \b CGEMV \par Purpose:

CGEMV performs one of the matrix-vector operations

\brief \b CGERC \par Purpose:

CGERC performs the rank 1 operation

\brief \b CGERU \par Purpose:

CGERU performs the rank 1 operation

\brief \b CHBMV \par Purpose:

CHBMV(3f) performs the matrix-vector operation

\brief \b CHEMM \par Purpose:

CHEMM performs one of the matrix-matrix operations

\brief \b CHEMV \par Purpose:

CHEMV performs the matrix-vector operation

\brief \b CHER \par Purpose:

CHER performs the hermitian rank 1 operation

\brief \b CHER2 \par Purpose:

CHER2 performs the hermitian rank 2 operation

\brief \b CHER2K \par Purpose:

CHER2K performs one of the hermitian rank 2k operations

\brief \b CHERK \par Purpose:

C:=alphaATRANSPOSE(A)+beta*C, C hermitian.

\brief \b CHPMV \par Purpose:

CY := alphaACX + beta*CY, A a (square) hermitian packed matrix.

\brief \b CHPR \par Purpose:

A := A + alphaCXCONJUGATE-TRANSPOSE(CX), a a (square) hermitian packed.

\brief \b CHPR2 \par Purpose:

A := A + alphaCXCONJUGATE-TRANSPOSE(CY)n + CONJUGATE(ALPHA)CYCONJUGATE-TRANSPOSE(CX),n A a (square) hermitian packed matrix.

\brief \b CROTG \par Purpose:

CROTG constructs a plane rotation

\brief \b CSCAL \par Purpose:

CX:=CA*CX (complex multiplier)

\brief \b CSROT \par Purpose:

CSROT applies a plane rotation, where the cos and sin (c and s) are real and the vectors cx and cy are complex. jack dongarra, linpack, 3/11/78.

\brief \b CSSCAL \par Purpose:

CX:=SA*CX (real multiplier).

\brief \b CSWAP \par Purpose:

N

\brief \b CSYMM \par Purpose:

C:=alphaAB+beta*C, A symmetric, B, C rectangular.

\brief \b CSYR2K \par Purpose:

C:=alphaATRANSPOSE(B)+alphaBTRANSPOSE(A)+beta*C, C symmetric.

\brief \b CSYRK \par Purpose:

C:=alphaATRANSPOSE(A)+beta*C, C symmetric.

\brief \b CTBMV \par Purpose:

CX := A*CX, A is a triangular band matrix.

\brief \b CTBSV \par Purpose:

CX := INVERSE(A)*CX, where A is a triangular band matrix.

\brief \b CTPMV \par Purpose:

CX := A*CX, A is a packed triangular band matrix.

\brief \b CTPSV \par Purpose:

CX := INVERSE(A)*CX, where A is a packed triangular band matrix.

\brief \b CTRMM \par Purpose:

B:=AB or B:=BA, A triangular, B rectangular.

\brief \b CTRMV \par Purpose:

CX := A*CX, A is a triangular matrix.

\brief \b CTRSM \par Purpose:

B:=INVERSE(A)C or B:=CINVERSE(A), B, C rectangular, A triangular.

\brief \b CTRSV \par Purpose:

CX := INVERSE(A)*CX, where A is a triangular matrix.

\brief \b DASUM \par Purpose:

N

\brief \b DAXPY \par Purpose:

N

\brief \b DCABS1 \par Purpose:

DCABS1 computes |Re(.)| + |Im(.)| of a double complex number

\brief \b DCOPY \par Purpose:

N

\brief \b DDOT \par Purpose:

N

\brief \b DGBMV \par Purpose:

DGBMV performs one of the matrix-vector operations

\brief \b DGEMM \par Purpose:

DGEMM performs one of the matrix-matrix operations

\brief \b DGEMV \par Purpose:

DGEMV performs one of the matrix-vector operations

\brief \b DGER \par Purpose:

DGER performs the rank 1 operation

\brief \b DNRM2 \par Purpose:

DNRM2 returns the euclidean norm of a vector via the function name, so that

\brief \b DROT \par Purpose:

N number of elements in input vector(s) DX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) INCX

\brief \b DROTG \par Purpose:

DROTG constructs a plane rotation

\brief \b DROTM \par Purpose:

N number of elements in input vector(s) DX DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

\brief \b DROTMG \par Purpose:

DD1

\brief \b DSBMV \par Purpose:

DSBMV performs the matrix-vector operation

\brief \b DSCAL \par Purpose:

N number of elements in input vector(s) DA On entry, DA specifies the scalar alpha. DX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) INCX storage spacing between elements of DX

\brief \b DSDOT \par Purpose:

Compute the inner product of two vectors with extended precision accumulation and result.

\brief \b DSPMV \par Purpose:

DSPMV performs the matrix-vector operation

\brief \b DSPR \par Purpose:

DSPR performs the symmetric rank 1 operation

\brief \b DSPR2 \par Purpose:

DSPR2 performs the symmetric rank 2 operation

\brief \b DSWAP \par Purpose:

N

\brief \b DSYMM \par Purpose:

DSYMM performs one of the matrix-matrix operations

\brief \b DSYMV \par Purpose:

DSYMV performs the matrix-vector operation

\brief \b DSYR \par Purpose:

DSYR performs the symmetric rank 1 operation

\brief \b DSYR2 \par Purpose:

DSYR2 performs the symmetric rank 2 operation

\brief \b DSYR2K \par Purpose:

DSYR2K performs one of the symmetric rank 2k operations

\brief \b DSYRK \par Purpose:

DSYRK performs one of the symmetric rank k operations

\brief \b DTBMV \par Purpose:

DTBMV performs one of the matrix-vector operations

\brief \b DTBSV \par Purpose:

DTBSV solves one of the systems of equations

\brief \b DTPMV \par Purpose:

DTPMV performs one of the matrix-vector operations

\brief \b DTPSV \par Purpose:

DTPSV solves one of the systems of equations

\brief \b DTRMM \par Purpose:

DTRMM performs one of the matrix-matrix operations

\brief \b DTRMV \par Purpose:

DTRMV performs one of the matrix-vector operations

\brief \b DTRSM \par Purpose:

DTRSM solves one of the matrix equations

\brief \b DTRSV \par Purpose:

DTRSV solves one of the systems of equations

\brief \b DZASUM \par Purpose:

N

\brief \b DZNRM2 \par Purpose:

DZNRM2 returns the euclidean norm of a vector via the function name, so that

\brief \b ICAMAX \par Purpose:

N

\brief \b IDAMAX \par Purpose:

N

\brief \b ISAMAX \par Purpose:

N

\brief \b IZAMAX \par Purpose:

N number of elements in input vector(s) ZX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) INCX storage spacing between elements of ZX

\brief \b LSAME \par Purpose:

LSAME returns .TRUE. if CA is the same letter as CB regardless of case.

\brief \b SASUM \par Purpose:

N

\brief \b SAXPY \par Purpose:

N number of elements in input vector(s) SA On entry, SA specifies the scalar alpha. SX SX is REAL array, dimension ( 1 + ( N - 1 )abs( INCX ) ) INCX storage spacing between elements of SX SY SY is REAL array, dimension ( 1 + ( N - 1 )abs( INCY ) ) INCY storage spacing between elements of SY

\brief \b SCABS1 \par Purpose:

SCABS1 computes |Re(.)| + |Im(.)| of a complex number

\brief \b SCASUM \par Purpose:

N

\brief \b SCNRM2 \par Purpose:

SCNRM2 returns the euclidean norm of a vector via the function name, so that

\brief \b SCOPY \par Purpose:

N

\brief \b SDOT \par Purpose:

N

\brief \b SDSDOT \par Purpose:

SDSDOT := SUM SX * SY (accumulated double precision, returned single)

\brief \b SGBMV \par Purpose:

SY:=alphaASX+beta*SY, A a band matrix.

\brief \b SGEMM \par Purpose:

C:=alphaAB+beta*C, A, B, C rectangular.

\brief \b SGEMV \par Purpose:

SY:=alphaASX+beta*SY, A a rectangular matrix.

\brief \b SGER \par Purpose:

A:=A+alphaSXTRANSPOSE(SY), rank 1 update, A a rectangular matrix.

\brief \b SNRM2 \par Purpose:

SNRM2 := square root of sum of SX(I)**2

\brief \b SROT \par Purpose:

N

\brief \b SROTG \par Purpose:

subroutine srotg( a, b, c, s )

\brief \b SROTM \par Purpose:

N

\brief \b SROTMG \par Purpose:

SD1

\brief \b SSBMV \par Purpose:

SSBMV performs the matrix-vector operation

\brief \b SSCAL \par Purpose:

N

\brief \b SSPMV \par Purpose:

SSPMV performs the matrix-vector operation

\brief \b SSPR \par Purpose:

SSPR performs the symmetric rank 1 operation

\brief \b SSPR2 \par Purpose:

SSPR2 performs the symmetric rank 2 operation

\brief \b SSWAP \par Purpose:

N

\brief \b SSYMM \par Purpose:

SSYMM performs one of the matrix-matrix operations

\brief \b SSYMV \par Purpose:

SSYMV performs the matrix-vector operation

\brief \b SSYR \par Purpose:

SSYR performs the symmetric rank 1 operation

\brief \b SSYR2 \par Purpose:

SSYR2 performs the symmetric rank 2 operation

\brief \b SSYR2K \par Purpose:

SSYR2K performs one of the symmetric rank 2k operations

\brief \b SSYRK \par Purpose:

SSYRK performs one of the symmetric rank k operations

\brief \b STBMV \par Purpose:

STBMV performs one of the matrix-vector operations

\brief \b STBSV \par Purpose:

STBSV solves one of the systems of equations

\brief \b STPMV \par Purpose:

STPMV performs one of the matrix-vector operations

\brief \b STPSV \par Purpose:

STPSV solves one of the systems of equations

\brief \b STRMM \par Purpose:

STRMM performs one of the matrix-matrix operations

\brief \b STRMV \par Purpose:

STRMV performs one of the matrix-vector operations

\brief \b STRSM \par Purpose:

STRSM solves one of the matrix equations

\brief \b STRSV \par Purpose:

STRSV solves one of the systems of equations

\brief \b XERBLA \par Purpose:

\brief \b XERBLA_ARRAY \par Purpose:

XERBLA_ARRAY assists other languages in calling XERBLA, the LAPACK and BLAS error handler. Rather than taking a Fortran string argument as the function’s name, XERBLA_ARRAY takes an array of single characters along with the array’s length. XERBLA_ARRAY then copies up to 32 characters of that array into a Fortran string and passes that to XERBLA. If called with a non-positive SRNAME_LEN, XERBLA_ARRAY will call XERBLA with a string of all blank characters.

\brief \b ZAXPY \par Purpose:

N number of elements in input vector(s) ZA On entry, ZA specifies the scalar alpha. ZX ZX is complex(kind=real64) array, dimension ( 1 + ( N - 1 )abs( INCX ) ) INCX storage spacing between elements of ZX ZY ZY is complex(kind=real64) array, dimension ( 1 + ( N - 1 )abs( INCY ) ) INCY storage spacing between elements of ZY

\brief \b ZCOPY \par Purpose:

N

\brief \b ZDOTC \par Purpose:

ZDOTC forms the dot product of two complex vectors ZDOTC = X^H * Y

\brief \b ZDOTU \par Purpose:

ZDOTU forms the dot product of two complex vectors ZDOTU = X^T * Y

\brief \b ZDROT \par Purpose:

Applies a plane rotation, where the cos and sin (c and s) are real and the vectors cx and cy are complex. jack dongarra, linpack, 3/11/78.

\brief \b ZDSCAL \par Purpose:

N

\brief \b ZGBMV \par Purpose:

ZGBMV performs one of the matrix-vector operations

\brief \b ZGEMM \par Purpose:

ZGEMM performs one of the matrix-matrix operations

\brief \b ZGEMV \par Purpose:

ZGEMV performs one of the matrix-vector operations

\brief \b ZGERC \par Purpose:

ZGERC performs the rank 1 operation

\brief \b ZGERU \par Purpose:

ZGERU performs the rank 1 operation

\brief \b ZHBMV \par Purpose:

ZHBMV performs the matrix-vector operation

\brief \b ZHEMM \par Purpose:

ZHEMM performs one of the matrix-matrix operations

\brief \b ZHEMV \par Purpose:

ZHEMV performs the matrix-vector operation

\brief \b ZHER \par Purpose:

ZHER performs the hermitian rank 1 operation

\brief \b ZHER2 \par Purpose:

ZHER2 performs the hermitian rank 2 operation

\brief \b ZHER2K \par Purpose:

ZHER2K performs one of the hermitian rank 2k operations

\brief \b ZHERK \par Purpose:

ZHERK performs one of the hermitian rank k operations

\brief \b ZHPMV \par Purpose:

ZHPMV performs the matrix-vector operation

\brief \b ZHPR \par Purpose:

ZHPR performs the hermitian rank 1 operation

\brief \b ZHPR2 \par Purpose:

ZHPR2 performs the hermitian rank 2 operation

\brief \b ZROTG \par Purpose:

ZROTG constructs a plane rotation

\brief \b ZSCAL \par Purpose:

N

\brief \b ZSWAP \par Purpose:

N

\brief \b ZSYMM \par Purpose:

ZSYMM performs one of the matrix-matrix operations

\brief \b ZSYR2K \par Purpose:

ZSYR2K performs one of the symmetric rank 2k operations

\brief \b ZSYRK \par Purpose:

ZSYRK performs one of the symmetric rank k operations

\brief \b ZTBMV \par Purpose:

ZTBMV performs one of the matrix-vector operations

\brief \b ZTBSV \par Purpose:

ZTBSV solves one of the systems of equations

\brief \b ZTPMV \par Purpose:

ZTPMV performs one of the matrix-vector operations

\brief \b ZTPSV \par Purpose:

ZTPSV solves one of the systems of equations

\brief \b ZTRMM \par Purpose:

ZTRMM performs one of the matrix-matrix operations

\brief \b ZTRMV \par Purpose:

ZTRMV performs one of the matrix-vector operations

\brief \b ZTRSM \par Purpose:

ZTRSM solves one of the matrix equations

\brief \b ZTRSV \par Purpose:

ZTRSV solves one of the systems of equations