NAG Library Chapter Contents

f16 – NAG Interface to BLAS


f16 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

Function
Name
Mark of
Introduction

Purpose
f16dbc 7 nag_iload
Broadcast scalar into integer vector
f16dlc
Example Text
Example Data
9 nag_isum
Sum elements of integer vector
f16dnc
Example Text
Example Data
9 nag_imax_val
Maximum value and location, integer vector
f16dpc
Example Text
Example Data
9 nag_imin_val
Minimum value and location, integer vector
f16dqc
Example Text
Example Data
9 nag_iamax_val
Maximum absolute value and location, integer vector
f16drc
Example Text
Example Data
9 nag_iamin_val
Minimum absolute value and location, integer vector
f16eac
Example Text
Example Data
24 nag_ddot
Dot product of two vectors, allows scaling and accumulation
f16ecc
Example Text
Example Data
7 nag_daxpby
Real weighted vector addition
f16ehc
Example Text
Example Data
9 nag_dwaxpby
Real weighted vector addition preserving input
f16elc
Example Text
Example Data
9 nag_dsum
Sum elements of real vector
f16fbc
Example Text
Example Data
7 nag_dload
Broadcast scalar into real vector
f16gcc
Example Text
Example Data
24 nag_zaxpby
Complex weighted vector addition
f16ghc
Example Text
Example Data
9 nag_zwaxpby
Complex weighted vector addition preserving input
f16glc
Example Text
Example Data
9 nag_zsum
Sum elements of complex vector
f16hbc
Example Text
Example Data
7 nag_zload
Broadcast scalar into complex vector
f16jnc
Example Text
Example Data
9 nag_dmax_val
Maximum value and location, real vector
f16jpc
Example Text
Example Data
9 nag_dmin_val
Minimum value and location, real vector
f16jqc
Example Text
Example Data
9 nag_damax_val
Maximum absolute value and location, real vector
f16jrc
Example Text
Example Data
9 nag_damin_val
Minimum absolute value and location, real vector
f16jsc
Example Text
Example Data
9 nag_zamax_val
Maximum absolute value and location, complex vector
f16jtc
Example Text
Example Data
9 nag_zamin_val
Minimum absolute value and location, complex vector
f16pac
Example Text
Example Data
8 nag_dgemv
Matrix-vector product, real rectangular matrix
f16pbc
Example Text
Example Data
8 nag_dgbmv
Matrix-vector product, real rectangular band matrix
f16pcc
Example Text
Example Data
8 nag_dsymv
Matrix-vector product, real symmetric matrix
f16pdc
Example Text
Example Data
8 nag_dsbmv
Matrix-vector product, real symmetric band matrix
f16pec
Example Text
Example Data
8 nag_dspmv
Matrix-vector product, real symmetric packed matrix
f16pfc
Example Text
Example Data
8 nag_dtrmv
Matrix-vector product, real triangular matrix
f16pgc
Example Text
Example Data
8 nag_dtbmv
Matrix-vector product, real triangular band matrix
f16phc
Example Text
Example Data
8 nag_dtpmv
Matrix-vector product, real triangular packed matrix
f16pjc
Example Text
Example Data
7 nag_dtrsv
System of equations, real triangular matrix
f16pkc
Example Text
Example Data
8 nag_dtbsv
System of equations, real triangular band matrix
f16plc
Example Text
Example Data
8 nag_dtpsv
System of equations, real triangular packed matrix
f16pmc
Example Text
Example Data
8 nag_dger
Rank-1 update, real rectangular matrix
f16ppc
Example Text
Example Data
8 nag_dsyr
Rank-1 update, real symmetric matrix
f16pqc
Example Text
Example Data
8 nag_dspr
Rank-1 update, real symmetric packed matrix
f16prc
Example Text
Example Data
8 nag_dsyr2
Rank-2 update, real symmetric matrix
f16psc
Example Text
Example Data
8 nag_dspr2
Rank-2 update, real symmetric packed matrix
f16qec
Example Text
Example Data
7 nag_dtr_copy
Matrix copy, real triangular matrix
f16qfc
Example Text
Example Data
7 nag_dge_copy
Matrix copy, real rectangular matrix
f16qgc
Example Text
Example Data
7 nag_dtr_load
Matrix initialization, real triangular matrix
f16qhc
Example Text
Example Data
7 nag_dge_load
Matrix initialization, real rectangular matrix
f16rac 7 nag_dge_norm
1-norm, -norm, Frobenius norm, largest absolute element, real general matrix
f16rbc
Example Text
Example Data
7 nag_dgb_norm
1-norm, -norm, Frobenius norm, largest absolute element, real band matrix
f16rcc 7 nag_dsy_norm
1-norm, -norm, Frobenius norm, largest absolute element, real symmetric matrix
f16rdc 7 nag_dsp_norm
1-norm, -norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage
f16rec 7 nag_dsb_norm
1-norm, -norm, Frobenius norm, largest absolute element, real symmetric band matrix
f16rkc
Example Text
Example Data
25 nag_dsf_norm
1-norm, -norm, Frobenius norm, largest absolute element, real symmetric matrix, Rectangular Full Packed format
f16sac
Example Text
Example Data
8 nag_zgemv
Matrix-vector product, complex rectangular matrix
f16sbc
Example Text
Example Data
8 nag_zgbmv
Matrix-vector product, complex rectangular band matrix
f16scc
Example Text
Example Data
8 nag_zhemv
Matrix-vector product, complex Hermitian matrix
f16sdc
Example Text
Example Data
8 nag_zhbmv
Matrix-vector product, complex Hermitian band matrix
f16sec
Example Text
Example Data
8 nag_zhpmv
Matrix-vector product, complex Hermitian packed matrix
f16sfc
Example Text
Example Data
8 nag_ztrmv
Matrix-vector product, complex triangular matrix
f16sgc
Example Text
Example Data
8 nag_ztbmv
Matrix-vector product, complex triangular band matrix
f16shc
Example Text
Example Data
8 nag_ztpmv
Matrix-vector product, complex triangular packed matrix
f16sjc
Example Text
Example Data
7 nag_ztrsv
System of equations, complex triangular matrix
f16skc
Example Text
Example Data
8 nag_ztbsv
System of equations, complex triangular band matrix
f16slc
Example Text
Example Data
8 nag_ztpsv
System of equations, complex triangular packed matrix
f16smc
Example Text
Example Data
8 nag_zger
Rank-1 update, complex rectangular matrix, unconjugated vector
f16spc
Example Text
Example Data
8 nag_zher
Rank-1 update, complex Hermitian matrix
f16sqc
Example Text
Example Data
8 nag_zhpr
Rank-1 update, complex Hermitian packed matrix
f16src
Example Text
Example Data
8 nag_zher2
Rank-2 update, complex Hermitian matrix
f16ssc
Example Text
Example Data
8 nag_zhpr2
Rank-2 update, complex Hermitian packed matrix
f16tac
Example Text
Example Data
8 nag_zsymv
Matrix-vector product, complex symmetric matrix
f16tcc
Example Text
Example Data
8 nag_zspmv
Matrix-vector product, complex symmetric packed matrix
f16tec
Example Text
Example Data
7 nag_ztr_copy
Matrix copy, complex triangular matrix
f16tfc
Example Text
Example Data
7 nag_zge_copy
Matrix copy, complex rectangular matrix
f16tgc
Example Text
Example Data
7 nag_ztr_load
Matrix initialization, complex triangular matrix
f16thc
Example Text
Example Data
7 nag_zge_load
Matrix initialization, complex rectangular matrix
f16uac 7 nag_zge_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex general matrix
f16ubc
Example Text
Example Data
7 nag_zgb_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex band matrix
f16ucc 7 nag_zhe_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian matrix
f16udc 7 nag_zhp_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian matrix, packed storage
f16uec 7 nag_zhb_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian band matrix
f16ufc 7 nag_zsy_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex symmetric matrix
f16ugc 7 nag_zsp_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage
f16ukc
Example Text
Example Data
25 nag_zhf_norm
1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian matrix, Rectangular Full Packed format
f16yac
Example Text
Example Data
8 nag_dgemm
Matrix-matrix product, two real rectangular matrices
f16ycc
Example Text
Example Data
8 nag_dsymm
Matrix-matrix product, one real symmetric matrix, one real rectangular matrix
f16yfc
Example Text
Example Data
8 nag_dtrmm
Matrix-matrix product, one real triangular matrix, one real rectangular matrix
f16yjc
Example Text
Example Data
7 nag_dtrsm
Solves a system of equations with multiple right-hand sides, real triangular coefficient matrix
f16ylc
Example Text
Example Data
25 nag_dtfsm
Solves a system of equations with multiple right-hand sides, real triangular coefficient matrix, Rectangular Full Packed format
f16ypc
Example Text
Example Data
8 nag_dsyrk
Rank-k update of a real symmetric matrix
f16yqc
Example Text
Example Data
25 nag_dsfrk
Rank-k update of a real symmetric matrix, Rectangular Full Packed format
f16yrc
Example Text
Example Data
8 nag_dsyr2k
Rank-2k update of a real symmetric matrix
f16zac
Example Text
Example Data
8 nag_zgemm
Matrix-matrix product, two complex rectangular matrices
f16zcc
Example Text
Example Data
8 nag_zhemm
Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix
f16zfc
Example Text
Example Data
8 nag_ztrmm
Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix
f16zjc
Example Text
Example Data
7 nag_ztrsm
Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix
f16zlc
Example Text
Example Data
25 nag_ztfsm
Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix, Rectangular Full Packed format
f16zpc
Example Text
Example Data
8 nag_zherk
Rank-k update of a complex Hermitian matrix
f16zqc
Example Text
Example Data
25 nag_zhfrk
Rank-k update of a complex Hermitian matrix, Rectangular Full Packed format
f16zrc
Example Text
Example Data
8 nag_zher2k
Rank-2k update of a complex Hermitian matrix
f16ztc
Example Text
Example Data
8 nag_zsymm
Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix
f16zuc
Example Text
Example Data
8 nag_zsyrk
Rank-k update of a complex symmetric matrix
f16zwc
Example Text
Example Data
8 nag_zsyr2k
Rank-2k update of a complex symmetric matrix
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017