See:
Dongarra J. J., du Croz J. J., Hammarling S. and Hanson R. J..
An Extended Set of Fortran Basic Linear Algebra Subprograms.
Technical Memoranda nos. 41 (revision 3) and 81, Mathematics
and Computer Science Division, Argonne National Laboratory,
9700 South Cass Avenue, Argonne, Illinois 60439, US.
or
NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
action where the matrix A is
CGBMV.........y = a A x + b y complex banded
CGEMV.........y = a A x + b y complex
H
CGERC.........A = a xy + A complex
T
CGERU.........A = a xy + A complex
CHBMV.........y = a A x + b y Hermitian banded
CHEMV.........y = a A x + b y Hermitian
H
CHER..........A = xx + A Hermitian
H H
CHER2.........A = a xy + y (a x) + A Hermitian
CHPMV.........y = a A x + b y Hermitian packed
H
CHPR..........A = xx + A Hermitian packed
H H
CHPR2.........A = a xy + y (a x) + A Hermitian packed
CTBMV.........x = Ax complex triangular banded
CTBSV.........solve Ax = b complex triangular banded
CTPMV.........x = Ax complex triangular packed
CTPSV.........solve Ax = b complex triangular packed
CTRMV.........x = Ax complex triangular
CTRSV.........solve Ax = b complex triangular
DGBMV.........y = a A x + b y double precision banded
DGEMV.........y = a A x + b y double precision
T
DGER..........A = a xy + A double precision
DSBMV.........y = a A x + b y double precision symmetric banded
DSPMV.........y = a A x + b y double precision symmetric packed
H
DSPR..........A = xx + A double precision symmetric packed
T T
DSPR2.........A = a xy + a yx + A double precision symmetric packed
DSYMV.........y = a A x + b y double precision symmetric
T
DSYR..........A = a xx + A double precision symmetric
T T
DSYR2.........A = a xy + a yx + A double precision symmetric
DTBMV.........x = Ax double precision triangular banded
DTBSV.........solve Ax = b double precision triangular banded
DTPMV.........x = Ax double precision triangular packed
DTPSV.........solve Ax = b double precision triangular packed
DTRMV.........x = Ax double precision triangular
DTRSV.........solve Ax = b double precision triangular
SGBMV.........y = a A x + b y single precision banded
SGEMV.........y = a A x + b y single precision
T
SGER..........A = a xy + A single precision
SSBMV.........y = a A x + b y single precision symmetric banded
SSPMV.........y = a A x + b y single precision symmetric packed
H
SSPR..........A = xx + A single precision symmetric packed
T T
SSPR2.........A = a xy + a yx + A single precision symmetric packed
SSYMV.........y = a A x + b y single precision symmetric
T
SSYR..........A = a xx + A single precision symmetric
T T
SSYR2.........A = a xy + a yx + A single precision symmetric
STBMV.........x = Ax single precision triangular banded
STBSV.........solve Ax = b single precision triangular banded
STPMV.........x = Ax single precision triangular packed
STPSV.........solve Ax = b single precision triangular packed
STRMV.........x = Ax single precision triangular
STRSV.........solve Ax = b single precision triangular
ZGBMV.........y = a A x + b y double complex banded
ZGEMV.........y = a A x + b y double complex
H
ZGERC.........A = a xy + A double complex
T
ZGERU.........A = a xy + A double complex
ZHBMV.........y = a A x + b y double precision Hermitian banded
ZHEMV.........y = a A x + b y double precision Hermitian
H
ZHER..........A = xx + A double precision Hermitian
H H
ZHER2.........A = a xy + y (a x) + A double precision Hermitian
ZHPMV.........y = a A x + b y double precision Hermitian packed
H
ZHPR..........A = xx + A double precision Hermitian packed
H H
ZHPR2.........A = a xy + y (a x) + A double precision Hermitian packed
ZTBMV.........x = Ax double complex triangular banded
ZTBSV.........solve Ax = b double complex triangular banded
ZTPMV.........x = Ax double complex triangular packed
ZTPSV.........solve Ax = b double complex triangular packed
ZTRMV.........x = Ax double complex triangular
ZTRSV.........solve Ax = b double complex triangular
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