📦 liblapack-doc

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G (continued)

ggsvd_driver_grp(3)Generalized SVD driver✨
ggsvp3(3)ggsvp3: step in ggsvd✨
gsvj0(3)gsvj0: step in gesvj✨
gsvj1(3)gsvj1: step in gesvj✨
GT(3)General tridiagonal Matrix✨
gtcon(3)gtcon: condition number estimate✨
gtrfs(3)gtrfs: iterative refinement✨
gtsv(3)gtsv: factor and solve✨
gtsv_comp(3)--- tridiagonal ---✨
gtsv_driver(3)--- tridiagonal ---✨
gtsvx(3)gtsvx: factor and solve, expert✨
gttrf(3)gttrf: triangular factor✨
gttrs(3)gttrs: triangular solve using factor✨
gtts2(3)gtts2: triangular solve using factor✨

H

hb2st_kernels(3){hb,sb}2st_kernels: band to tridiagonal (2nd stage)✨
hbev(3){hb,sb}ev: eig, QR iteration✨
hbev_2stage(3){hb,sb}ev_2stage: eig, QR iteration✨
hbev_comp(3)--- banded ---✨
hbev_driver(3)--- banded ---✨
hbev_driver2(3)--- banded, 2nd-stage ---✨
hbevd(3){hb,sb}evd: eig, divide and conquer✨
hbevd_2stage(3){hb,sb}evd_2stage: eig, divide and conquer✨
hbevx(3){hb,sb}evx: eig, bisection✨
hbevx_2stage(3){hb,sb}evx_2stage: eig, bisection✨
hbgst(3){hb,sb}gst: reduction to standard form, banded✨
hbgv(3){hb,sb}gv: eig, QR iteration✨
hbgv_driver(3)--- banded ---✨
hbgvd(3){hb,sb}gvd: eig, divide and conquer✨
hbgvx(3){hb,sb}gvx: eig, bisection✨
hbmv(3){hb,sb}mv: Hermitian/symmetric matrix-vector multiply✨
hbtrd(3){hb,sb}trd: reduction to tridiagonal✨
HE(3)Hermitian Matrix✨
hecon(3){he,sy}con: condition number estimate✨
hecon_3(3){he,sy}con_3: condition number estimate✨
hecon_rook(3){he,sy}con_rook: condition number estimate✨
heequb(3){he,sy}equb: equilibration, power of 2✨
heev(3){he,sy}ev: eig, QR iteration✨
heev_2stage(3){he,sy}ev_2stage: eig, QR iteration✨
heev_comp(3)--- full ---✨
heev_comp_grp(3)Eig computational routines✨
heev_driver(3)--- full ---✨
heev_driver2(3)--- full, 2-stage ---✨
heev_driver_grp(3)Standard eig driver, AV = VΛ✨
heev_top(3)Hermitian/symmetric eigenvalues✨
heevd(3){he,sy}evd: eig, divide and conquer✨
heevd_2stage(3){he,sy}evd_2stage: eig, divide and conquer✨
heevr(3){he,sy}evr: eig, MRRR✨
heevr_2stage(3){he,sy}evr_2stage: eig, MRRR✨
heevx(3){he,sy}evx: eig, bisection✨
heevx_2stage(3){he,sy}evx_2stage: eig, bisection✨
hegs2(3){he,sy}gs2: reduction to standard form, level 2✨
hegst(3){he,sy}gst: reduction to standard form✨
hegv(3){he,sy}gv: eig, QR iteration✨
hegv_2stage(3){he,sy}gv_2stage: eig, QR iteration, 2-stage✨
hegv_comp_grp(3)Generalized eig computational routines✨
hegv_driver(3)--- full ---✨
hegv_driver_grp(3)Generalized eig driver, AV = BVΛ, etc.✨
hegvd(3){he,sy}gvd: eig, divide and conquer✨
hegvx(3){he,sy}gvx: eig, bisection✨
hemm(3){he,sy}mm: Hermitian/symmetric matrix-matrix multiply✨
hemv(3){he,sy}mv: Hermitian/symmetric matrix-vector multiply ([cz]symv in LAPACK)✨
her(3){he,sy}r: Hermitian/symmetric rank-1 update✨
her2(3){he,sy}r2: Hermitian/symmetric rank-2 update✨
her2k(3){he,sy}r2k: Hermitian/symmetric rank-2k update✨
herfs(3){he,sy}rfs: iterative refinement✨
herfsx(3){he,sy}rfsx: iterative refinement, expert✨
herk(3){he,sy}rk: Hermitian/symmetric rank-k update✨
hesv(3){he,sy}sv: rook (v1)✨
hesv_aa(3){he,sy}sv_aa: Aasen✨
hesv_aa_2stage(3){he,sy}sv_aa_2stage: Aasen, blocked 2-stage✨
hesv_aa_driver(3)--- full, Aasen ---✨
hesv_comp_aasen(3)--- full, Aasen ---✨
hesv_comp_aasen2(3)--- full, Aasen, blocked 2-stage ---✨
hesv_comp_grp(3)LDL: computational routines (factor, cond, etc.)✨
hesv_comp_v1(3)--- full, rook v1 ---✨
hesv_comp_v2(3)--- full, rook v2 ---✨
hesv_comp_v3(3)--- full, rook v3 ---✨
hesv_driver(3)--- full, rook pivoting ---✨
hesv_driver_grp(3)LDL: Hermitian/symmetric indefinite matrix, driver✨
hesv_rk(3){he,sy}sv_rk: rook (v3)✨
hesv_rook(3){he,sy}sv_rook: rook (v2)✨
hesvx(3){he,sy}svx: rook (v1, expert)✨
hesvxx(3){he,sy}svxx: rook (v1, expert)✨
heswapr(3){he,sy}swapr: apply 2-sided permutation✨
hetd2(3){he,sy}td2: reduction to tridiagonal, level 2✨
hetf2(3){he,sy}tf2: triangular factor, level 2✨
hetf2_rk(3){he,sy}tf2_rk: triangular factor, level 2✨
hetf2_rook(3){he,sy}tf2_rook: triangular factor, level 2✨
hetrd(3){he,sy}trd: reduction to tridiagonal✨
hetrd_2stage(3){he,sy}trd_2stage: reduction to tridiagonal, 2-stage✨
hetrd_hb2st(3){he,sy}trd_hb2st: band to tridiagonal (2nd stage)✨
hetrd_he2hb(3){he,sy}trd_he2hb: full to band (1st stage)✨
hetrf(3){he,sy}trf: triangular factor✨
hetrf_aa(3){he,sy}trf_aa: triangular factor✨
hetrf_aa_2stage(3){he,sy}trf_aa_2stage: triangular factor✨
hetrf_rk(3){he,sy}trf_rk: triangular factor✨
hetrf_rook(3){he,sy}trf_rook: triangular factor✨
hetri(3){he,sy}tri: triangular inverse✨
hetri2(3){he,sy}tri2: inverse✨
hetri2x(3){he,sy}tri2x: inverse✨
hetri_3(3){he,sy}tri_3: inverse✨
hetri_3x(3){he,sy}tri_3x: inverse✨
hetri_rook(3){he,sy}tri_rook: triangular inverse✨
hetrs(3){he,sy}trs: triangular solve using factor✨
hetrs2(3){he,sy}trs2: solve using factor✨
hetrs_3(3){he,sy}trs_3: solve using factor✨
hetrs_aa(3){he,sy}trs_aa: triangular solve using factor✨
hetrs_aa_2stage(3){he,sy}trs_aa_2stage: triangular solve using factor✨
hetrs_rook(3){he,sy}trs_rook: triangular solve using factor✨
hfrk(3)hfrk: Hermitian rank-k update, RFP format✨
hgeqz(3)hgeqz: generalized Hessenberg eig✨
hpcon(3){hp,sp}con: condition number estimate✨
hpev(3){hp,sp}ev: eig, QR iteration✨
hpev_comp(3)--- packed ---✨
hpev_driver(3)--- packed ---✨
hpevd(3){hp,sp}evd: eig, divide and conquer✨
hpevx(3){hp,sp}evx: eig, bisection✨
hpgst(3){hp,sp}gst: reduction to standard form, packed✨
hpgv(3){hp,sp}gv: eig, QR iteration✨
hpgv_driver(3)--- packed ---✨
hpgvd(3){hp,sp}gvd: eig, divide and conquer✨
hpgvx(3){hp,sp}gvx: eig, bisection✨
hpmv(3){hp,sp}mv: Hermitian/symmetric matrix-vector multiply✨
hpr(3){hp,sp}r: Hermitian/symmetric rank-1 update✨
hpr2(3){hp,sp}r2: Hermitian/symmetric rank-2 update✨
hprfs(3){hp,sp}rfs: iterative refinement✨
hpsv(3){hp,sp}sv: factor and solve✨
hpsv_comp(3)--- packed, rook v1 ---✨
hpsv_driver(3)--- packed, rook pivoting ---✨
hpsvx(3){hp,sp}svx: factor and solve, expert✨
hptrd(3){hp,sp}trd: reduction to tridiagonal✨
hptrf(3){hp,sp}trf: triangular factor✨
hptri(3){hp,sp}tri: triangular inverse✨
hptrs(3){hp,sp}trs: triangular solve using factor✨
hsein(3)hsein: Hessenberg inverse iteration for eigvec✨
hseqr(3)hseqr: Hessenberg eig, QR iteration✨

I

iamax(3)iamax: argmax_i | real( x_i ) | + | imag( x_i ) |✨
icamax(3)✨
icmax1(3)✨
idamax(3)✨
ieeeck(3)ieeeck: verify inf and NaN are safe✨
ilaclc(3)✨
ilaclr(3)✨
iladiag(3)iladiag: diag string to BLAST const✨
iladlc(3)✨
iladlr(3)✨
ilaenv(3)ilaenv: tuning parameters✨
ilaenv2stage(3)ilaenv2stage: tuning parameters for 2-stage eig✨
ilalc(3)ilalc: find non-zero col✨
ilalr(3)ilalr: find non-zero row✨
ilaprec(3)ilaprec: precision string to BLAST const✨
ilaslc(3)✨
ilaslr(3)✨
ilatrans(3)ilatrans: trans string to BLAST const✨
ilauplo(3)ilauplo: uplo string to BLAST const✨
ilaver(3)ilaver: LAPACK version✨
ilazlc(3)✨
ilazlr(3)✨
imag(3)✨
imax1(3)imax1: argmax_i | x_i | (in LAPACK)✨
iparam2stage(3)iparam2stage: sets parameters for 2-stage eig✨
iparmq(3)iparmq: set parameters for hseqr✨
isamax(3)✨
izamax(3)✨
izmax1(3)✨

L

la_constants(3)LA_CONSTANTS is a module for the scaling constants for the compiled Fortran single and double precisions✨
la_gbamv(3)la_gbamv: matrix-vector multiply |A| * |x|, general banded✨
la_gbrcond(3)la_gbrcond: Skeel condition number estimate✨
la_gbrfsx_extended(3)la_gbrfsx_extended: step in gbrfsx✨
la_gbrpvgrw(3)la_gbrpvgrw: reciprocal pivot growth✨
la_geamv(3)la_geamv: matrix-vector multiply |A| * |x|, general✨
la_gercond(3)la_gercond: Skeel condition number estimate✨
la_gerfsx_extended(3)la_gerfsx_extended: step in gerfsx✨
la_gerpvgrw(3)la_gerpvgrw: reciprocal pivot growth✨
la_heamv(3)la_heamv: matrix-vector multiply |A| * |x|, Hermitian/symmetric✨
la_hercond(3)la_hercond: Skeel condition number estimate✨
la_herfsx_extended(3)la_herfsx_extended: step in herfsx✨
la_herpvgrw(3)la_herpvgrw: reciprocal pivot growth✨
la_lin_berr(3)la_lin_berr: backward error✨
la_porcond(3)la_porcond: Skeel condition number estimate✨
la_porfsx_extended(3)la_porfsx_extended: step in porfsx✨
la_porpvgrw(3)la_porpvgrw: reciprocal pivot growth✨
la_transtype(3)la_transtype: BLAST const to string✨
la_wwaddw(3)la_wwaddw: add to double-double or single-single vector✨
la_xisnan_la_isnan(3)✨
labad(3)labad: over/underflow on obsolete pre-IEEE machines✨
labrd(3)labrd: step in gebrd✨
lacgv(3)lacgv: conjugate vector✨
lacn2(3)lacn2: 1-norm estimate, e.g., || A^{-1} ||_1 in gecon✨
lacon(3)lacon: 1-norm estimate, e.g., || A^{-1} ||_1 in gecon, old✨
lacp2(3)lacp2: general matrix, convert real to complex✨
lacpy(3)lacpy: copy matrix✨
lacrm(3)lacrm: complex * real matrix-matrix multiply✨
lacrt(3)lacrt: apply plane rotation (unused?)✨
ladiv(3)ladiv: complex divide✨
lae2(3)lae2: 2x2 eig, step in steqr, stemr✨
laebz(3)laebz: counts eigvals <= value✨
laed0(3)laed0: D&C step: top level solver✨
laed1(3)laed1: D&C step: merge subproblems✨
laed2(3)laed2: D&C step: deflation✨