# NAG CL InterfaceF07 (Lapacklin)Linear Equations (LAPACK)

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F07 (Lapacklin) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Function
Mark of
Introduction

Purpose
f07aac 23 nag_lapacklin_dgesv
Computes the solution to a real system of linear equations
f07abc 23 nag_lapacklin_dgesvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
f07acc 23 nag_lapacklin_dsgesv
Computes the solution to a real system of linear equations using mixed precision arithmetic
$LU$ factorization of real $m×n$ matrix
f07aec 7 nag_lapacklin_dgetrs
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07adc
f07afc 23 nag_lapacklin_dgeequ
Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number
f07agc 7 nag_lapacklin_dgecon
f07ahc 7 nag_lapacklin_dgerfs
Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f07ajc 7 nag_lapacklin_dgetri
f07anc 23 nag_lapacklin_zgesv
Computes the solution to a complex system of linear equations
f07apc 23 nag_lapacklin_zgesvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
f07aqc 23 nag_lapacklin_zcgesv
Computes the solution to a complex system of linear equations using mixed precision arithmetic
f07arc 7 nag_lapacklin_zgetrf
$LU$ factorization of complex $m×n$ matrix
f07asc 7 nag_lapacklin_zgetrs
Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07arc
f07atc 23 nag_lapacklin_zgeequ
Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
f07auc 7 nag_lapacklin_zgecon
Estimate condition number of complex matrix, matrix already factorized by f07arc
f07avc 7 nag_lapacklin_zgerfs
Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
f07awc 7 nag_lapacklin_zgetri
Inverse of complex matrix, matrix already factorized by f07arc
f07bac 23 nag_lapacklin_dgbsv
Computes the solution to a real banded system of linear equations
f07bbc 23 nag_lapacklin_dgbsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
f07bdc 7 nag_lapacklin_dgbtrf
$LU$ factorization of real $m×n$ band matrix
f07bec 7 nag_lapacklin_dgbtrs
Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bdc
f07bfc 23 nag_lapacklin_dgbequ
Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
f07bgc 7 nag_lapacklin_dgbcon
Estimate condition number of real band matrix, matrix already factorized by f07bdc
f07bhc 7 nag_lapacklin_dgbrfs
Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
f07bnc 23 nag_lapacklin_zgbsv
Computes the solution to a complex banded system of linear equations
f07bpc 23 nag_lapacklin_zgbsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
f07brc 7 nag_lapacklin_zgbtrf
$LU$ factorization of complex $m×n$ band matrix
f07bsc 7 nag_lapacklin_zgbtrs
Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07brc
f07btc 23 nag_lapacklin_zgbequ
Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
f07buc 7 nag_lapacklin_zgbcon
Estimate condition number of complex band matrix, matrix already factorized by f07brc
f07bvc 7 nag_lapacklin_zgbrfs
Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
f07cac 23 nag_lapacklin_dgtsv
Computes the solution to a real tridiagonal system of linear equations
f07cbc 23 nag_lapacklin_dgtsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
f07cdc 23 nag_lapacklin_dgttrf
$LU$ factorization of real tridiagonal matrix
f07cec 23 nag_lapacklin_dgttrs
Solves a real tridiagonal system of linear equations using the $LU$ factorization computed by f07cdc
f07cgc 23 nag_lapacklin_dgtcon
Estimates the reciprocal of the condition number of a real tridiagonal matrix using the $LU$ factorization computed by f07cdc
f07chc 23 nag_lapacklin_dgtrfs
Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
f07cnc 23 nag_lapacklin_zgtsv
Computes the solution to a complex tridiagonal system of linear equations
f07cpc 23 nag_lapacklin_zgtsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
f07crc 23 nag_lapacklin_zgttrf
$LU$ factorization of complex tridiagonal matrix
f07csc 23 nag_lapacklin_zgttrs
Solves a complex tridiagonal system of linear equations using the $LU$ factorization computed by f07cdc
f07cuc 23 nag_lapacklin_zgtcon
Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the $LU$ factorization computed by f07cdc
f07cvc 23 nag_lapacklin_zgtrfs
Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
f07fac 23 nag_lapacklin_dposv
Computes the solution to a real symmetric positive definite system of linear equations
f07fbc 23 nag_lapacklin_dposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
f07fdc 7 nag_lapacklin_dpotrf
Cholesky factorization of real symmetric positive definite matrix
f07fec 7 nag_lapacklin_dpotrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdc
f07ffc 23 nag_lapacklin_dpoequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number
f07fgc 7 nag_lapacklin_dpocon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdc
f07fhc 7 nag_lapacklin_dporfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
f07fjc 7 nag_lapacklin_dpotri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdc
f07fnc 23 nag_lapacklin_zposv
Computes the solution to a complex Hermitian positive definite system of linear equations
f07fpc 23 nag_lapacklin_zposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
f07frc 7 nag_lapacklin_zpotrf
Cholesky factorization of complex Hermitian positive definite matrix
f07fsc 7 nag_lapacklin_zpotrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07frc
f07ftc 23 nag_lapacklin_zpoequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
f07fuc 7 nag_lapacklin_zpocon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07frc
f07fvc 7 nag_lapacklin_zporfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
f07fwc 7 nag_lapacklin_zpotri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07frc
f07gac 23 nag_lapacklin_dppsv
Computes the solution to a real symmetric positive definite system of linear equations, packed storage
f07gbc 23 nag_lapacklin_dppsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage
f07gdc 7 nag_lapacklin_dpptrf
Cholesky factorization of real symmetric positive definite matrix, packed storage
f07gec 7 nag_lapacklin_dpptrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdc, packed storage
f07gfc 23 nag_lapacklin_dppequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage
f07ggc 7 nag_lapacklin_dppcon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage
f07ghc 7 nag_lapacklin_dpprfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
f07gjc 7 nag_lapacklin_dpptri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage
f07gnc 23 nag_lapacklin_zppsv
Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
f07gpc 23 nag_lapacklin_zppsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage
f07grc 7 nag_lapacklin_zpptrf
Cholesky factorization of complex Hermitian positive definite matrix, packed storage
f07gsc 7 nag_lapacklin_zpptrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07grc, packed storage
f07gtc 23 nag_lapacklin_zppequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
f07guc 7 nag_lapacklin_zppcon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07grc, packed storage
f07gvc 7 nag_lapacklin_zpprfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
f07gwc 7 nag_lapacklin_zpptri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07grc, packed storage
f07hac 23 nag_lapacklin_dpbsv
Computes the solution to a real symmetric positive definite banded system of linear equations
f07hbc 23 nag_lapacklin_dpbsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
f07hdc 7 nag_lapacklin_dpbtrf
Cholesky factorization of real symmetric positive definite band matrix
f07hec 7 nag_lapacklin_dpbtrs
Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdc
f07hfc 23 nag_lapacklin_dpbequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
f07hgc 7 nag_lapacklin_dpbcon
Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc
f07hhc 7 nag_lapacklin_dpbrfs
Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
f07hnc 23 nag_lapacklin_zpbsv
Computes the solution to a complex Hermitian positive definite banded system of linear equations
f07hpc 23 nag_lapacklin_zpbsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
f07hrc 7 nag_lapacklin_zpbtrf
Cholesky factorization of complex Hermitian positive definite band matrix
f07hsc 7 nag_lapacklin_zpbtrs
Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hrc
f07htc 23 nag_lapacklin_zpbequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
f07huc 7 nag_lapacklin_zpbcon
Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hrc
f07hvc 7 nag_lapacklin_zpbrfs
Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
f07jac 23 nag_lapacklin_dptsv
Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
f07jbc 23 nag_lapacklin_dptsvx
Uses the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations
f07jdc 23 nag_lapacklin_dpttrf
Computes the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization of a real symmetric positive definite tridiagonal matrix
f07jec 23 nag_lapacklin_dpttrs
Solves a real symmetric positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization computed by f07jdc
f07jgc 23 nag_lapacklin_dptcon
Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization computed by f07jdc
f07jhc 23 nag_lapacklin_dptrfs
Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
f07jnc 23 nag_lapacklin_zptsv
Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
f07jpc 23 nag_lapacklin_zptsvx
Uses the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations
f07jrc 23 nag_lapacklin_zpttrf
Computes the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization of a complex Hermitian positive definite tridiagonal matrix
f07jsc 23 nag_lapacklin_zpttrs
Solves a complex Hermitian positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization computed by f07jrc
f07juc 23 nag_lapacklin_zptcon
Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization computed by f07jrc
f07jvc 23 nag_lapacklin_zptrfs
Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
f07kdc 25 nag_lapacklin_dpstrf
Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix
f07krc 25 nag_lapacklin_zpstrf
Cholesky factorization of complex Hermitian positive semidefinite matrix
f07mac 23 nag_lapacklin_dsysv
Computes the solution to a real symmetric system of linear equations
f07mbc 23 nag_lapacklin_dsysvx
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
f07mdc 7 nag_lapacklin_dsytrf
Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mec 7 nag_lapacklin_dsytrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdc
f07mgc 7 nag_lapacklin_dsycon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07mhc 7 nag_lapacklin_dsyrfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
f07mjc 7 nag_lapacklin_dsytri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07mnc 23 nag_lapacklin_zhesv
Computes the solution to a complex Hermitian system of linear equations
f07mpc 23 nag_lapacklin_zhesvx
Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
f07mrc 7 nag_lapacklin_zhetrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix
f07msc 7 nag_lapacklin_zhetrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mrc
f07muc 7 nag_lapacklin_zhecon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrc
f07mvc 7 nag_lapacklin_zherfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
f07mwc 7 nag_lapacklin_zhetri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mrc
f07nnc 23 nag_lapacklin_zsysv
Computes the solution to a complex symmetric system of linear equations
f07npc 23 nag_lapacklin_zsysvx
Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
f07nrc 7 nag_lapacklin_zsytrf
Bunch–Kaufman factorization of complex symmetric matrix
f07nsc 7 nag_lapacklin_zsytrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrc
f07nuc 7 nag_lapacklin_zsycon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc
f07nvc 7 nag_lapacklin_zsyrfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
f07nwc 7 nag_lapacklin_zsytri
Inverse of complex symmetric matrix, matrix already factorized by f07nrc
f07pac 23 nag_lapacklin_dspsv
Computes the solution to a real symmetric system of linear equations, packed storage
f07pbc 23 nag_lapacklin_dspsvx
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage. Error bounds and a condition estimate are also computed
f07pdc 7 nag_lapacklin_dsptrf
Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pec 7 nag_lapacklin_dsptrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdc, packed storage
f07pgc 7 nag_lapacklin_dspcon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07phc 7 nag_lapacklin_dsprfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
f07pjc 7 nag_lapacklin_dsptri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07pnc 23 nag_lapacklin_zhpsv
Computes the solution to a complex Hermitian system of linear equations, packed storage
f07ppc 23 nag_lapacklin_zhpsvx
Uses the diagonal pivoting factorization to compute the solution to a complex, Hermitian, system of linear equations, error bounds and condition estimates. Packed storage
f07prc 7 nag_lapacklin_zhptrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
f07psc 7 nag_lapacklin_zhptrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07prc, packed storage
f07puc 7 nag_lapacklin_zhpcon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07prc, packed storage
f07pvc 7 nag_lapacklin_zhprfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
f07pwc 7 nag_lapacklin_zhptri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07prc, packed storage
f07qnc 23 nag_lapacklin_zspsv
Computes the solution to a complex symmetric system of linear equations, packed storage
f07qpc 23 nag_lapacklin_zspsvx
Uses the diagonal pivoting factorization to compute the solution to a complex, symmetric, system of linear equations, error bounds and condition estimates. Packed storage
f07qrc 7 nag_lapacklin_zsptrf
Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsc 7 nag_lapacklin_zsptrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrc, packed storage
f07quc 7 nag_lapacklin_zspcon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f07qvc 7 nag_lapacklin_zsprfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
f07qwc 7 nag_lapacklin_zsptri
Inverse of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f07tec 7 nag_lapacklin_dtrtrs
Solution of real triangular system of linear equations, multiple right-hand sides
f07tgc 7 nag_lapacklin_dtrcon
Estimate condition number of real triangular matrix
f07thc 7 nag_lapacklin_dtrrfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
f07tjc 7 nag_lapacklin_dtrtri
Inverse of real triangular matrix
f07tsc 7 nag_lapacklin_ztrtrs
Solution of complex triangular system of linear equations, multiple right-hand sides
f07tuc 7 nag_lapacklin_ztrcon
Estimate condition number of complex triangular matrix
f07tvc 7 nag_lapacklin_ztrrfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
f07twc 7 nag_lapacklin_ztrtri
Inverse of complex triangular matrix
f07uec 7 nag_lapacklin_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ugc 7 nag_lapacklin_dtpcon
Estimate condition number of real triangular matrix, packed storage
f07uhc 7 nag_lapacklin_dtprfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ujc 7 nag_lapacklin_dtptri
Inverse of real triangular matrix, packed storage
f07usc 7 nag_lapacklin_ztptrs
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uuc 7 nag_lapacklin_ztpcon
Estimate condition number of complex triangular matrix, packed storage
f07uvc 7 nag_lapacklin_ztprfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uwc 7 nag_lapacklin_ztptri
Inverse of complex triangular matrix, packed storage
f07vec 7 nag_lapacklin_dtbtrs
Solution of real band triangular system of linear equations, multiple right-hand sides
f07vgc 7 nag_lapacklin_dtbcon
Estimate condition number of real band triangular matrix
f07vhc 7 nag_lapacklin_dtbrfs
Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
f07vsc 7 nag_lapacklin_ztbtrs
Solution of complex band triangular system of linear equations, multiple right-hand sides
f07vuc 7 nag_lapacklin_ztbcon
Estimate condition number of complex band triangular matrix
f07vvc 7 nag_lapacklin_ztbrfs
Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
f07wdc 25 nag_lapacklin_dpftrf
Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
f07wec 25 nag_lapacklin_dpftrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wdc, Rectangular Full Packed format
f07wjc 25 nag_lapacklin_dpftri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07wdc, Rectangular Full Packed format
f07wkc 25 nag_lapacklin_dtftri
Inverse of real triangular matrix, Rectangular Full Packed format
f07wrc 25 nag_lapacklin_zpftrf
Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
f07wsc 25 nag_lapacklin_zpftrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wrc, Rectangular Full Packed format
f07wwc 25 nag_lapacklin_zpftri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07wrc, Rectangular Full Packed format
f07wxc 25 nag_lapacklin_ztftri
Inverse of complex triangular matrix, Rectangular Full Packed format