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739
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y Fg(H)4721 1164 y Fj(U)30 b Fl(or)23 b Fj(A)d Fk( )f
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761
1487 y Fl(or)21 b Fj(A)e Fl(=)h Fj(LL)4518 1463 y Fg(T)4587
762
1487 y Fl(or)h Fj(A)f Fl(=)f Fj(U)4873 1463 y Fg(H)4931
763
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1463 y Fg(H)5541 1408 y Fl(S,)k(D,)g(C,)g(Z)-9 1567 y(in)n(t)h(clapac)n
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769
Fj(A)4458 1544 y Fi(\000)p Fh(1)4540 1567 y Fl(,)e(assuming)38
770
b(on)h(en)n(try)h Fj(A)45 b Fl(=)4191 1646 y Fj(U)4246
771
1623 y Fg(T)4294 1646 y Fj(U)d Fl(or)34 b Fj(A)k Fl(=)g
772
Fj(LL)4761 1623 y Fg(T)4845 1646 y Fl(or)c Fj(A)k Fl(=)g
773
Fj(U)5181 1623 y Fg(H)5239 1646 y Fj(U)j Fl(or)4191 1725
774
y Fj(A)19 b Fl(=)h Fj(LL)4434 1702 y Fg(H)5541 1567 y
775
Fl(S,)j(D,)g(C,)g(Z)-9 1791 y(in)n(t)16 b(clapac)n(k)p
776
321 1791 V 27 w Fk(})p Fl(lauum)n(\(const)25 b(en)n(um)e(A)-6
777
b(TLAS)p 1231 1791 V 26 w(ORDER)23 b(Order,)f(const)j(en)n(um)e(A)-6
778
b(TLAS)p 2373 1791 V 26 w(UPLO)23 b(Uplo,)g(const)i(in)n(t)f(N,)f(TYPE)
779
g(*A,)g(const)i(in)n(t)f(lda\))226 b Fj(A)19 b Fk( )h
780
Fj(U)7 b(U)4464 1767 y Fg(H)4544 1791 y Fl(or)24 b Fj(A)19
781
b Fk( )g Fj(L)4841 1767 y Fg(H)4899 1791 y Fj(L)594 b
782
Fl(S,)23 b(D,)g(C,)g(Z)-9 1870 y(in)n(t)h(clapac)n(k)p
783
329 1870 V 27 w Fk(})p Fl(trtri)53 b(\()25 b(const)h(en)n(um)f(A)-6
784
b(TLAS)p 1259 1870 V 25 w(ORDER)25 b(Order,)f(const)i(en)n(um)e(A)-6
785
b(TLAS)p 2406 1870 V 26 w(UPLO)24 b(Uplo,)h(const)h(en)n(um)e(A)-6
786
b(TLAS)p 3459 1870 V 26 w(DIA)n(G)25 b(Diag,)g(const)591
787
1949 y(in)n(t)f(N,)f(TYPE)g(*A,)g(const)i(in)n(t)f(lda)f(\))4191
788
1870 y Fj(A)46 b Fk( )f Fj(A)4459 1846 y Fi(\000)p Fh(1)4542
789
1870 y Fl(,)d(giv)n(en)e Fj(A)f Fl(is)g(an)h(Upp)r(er)f(or)4191
790
1949 y(Lo)n(w)n(er)24 b(triangular)f(matrix)5541 1870
791
y(S,)g(D,)g(C,)g(Z)1262 2412 y Ff(NOTES:)155 2587 y Fe(\017)45
792
b Fd(C)g(in)n(terface)f(DESCRIPTIONs)g(assume)g Fc(Order)d(==)i
793
(CblasRowMajor)p Fd(.)83 b(F)-7 b(or)242 2686 y(column-ma)5
794
b(jor)26 b(descriptions,)h(consult)g(the)h(F)-7 b(ortran77)25
795
b(descriptions.)155 2836 y Fe(\017)45 b Fd(All)28 b(C)f(functions)h
796
(return)g(LAP)-7 b(A)n(CK's)26 b Fc(INFO)g Fd(parameter)155
797
2985 y Fe(\017)45 b Fd(C)27 b(Calling)g(routines)g(should)h(include)g
798
(the)g(BLAS)f(header)g(\014le,)h Fc(cblas.h)p Fd(.)155
799
3135 y Fe(\017)45 b Fd(Cases)26 b(sep)r(erated)h(b)n(y)h
800
Fb(or)g Fd(ab)r(o)n(v)n(e)e(dep)r(end)i(on)g(user)f(input)h(or)f(data)g
801
(t)n(yp)r(e.)155 3284 y Fe(\017)45 b Fd(More)27 b(information)f(a)n(v)
802
-5 b(ailable)27 b(at)g Fc(http://math-atlas)o(.s)o(our)o(ce)o(fo)o(rge)
803
o(.n)o(et/)o Fd(.)3441 2574 y Fa(PREFIX)34 b(RELA)-9
804
b(TED)35 b(DEFINITIONS)e(:)p 3034 2586 2558 4 v 3034
805
2603 V 3032 2702 4 100 v 3049 2702 V 3101 2672 a Fe(})p
806
Fd(is)p 3269 2702 V 99 w(Data)27 b(op)r(erated)p 4280
807
2702 V 488 w(TYPE)p 4620 2702 V 103 w(UTYPE)p 5017 2702
808
V 99 w(SCALAR)p 5574 2702 V 5591 2702 V 3034 2705 2558
809
4 v 3034 2722 V 3032 2822 4 100 v 3049 2822 V 3101 2792
810
a(s)p 3269 2822 V 187 w(single)g(precision)f(real)p 4280
811
2822 V 299 w(\015oat)p 4620 2822 V 177 w(\015oat)p 5017
812
2822 V 235 w(const)i(\015oat)p 5574 2822 V 5591 2822
813
V 3034 2825 2558 4 v 3032 2925 4 100 v 3049 2925 V 3101
814
2895 a(d)p 3269 2925 V 174 w(double)f(precision)g(real)p
815
4280 2925 V 262 w(double)p 4620 2925 V 99 w(double)p
816
5017 2925 V 157 w(const)h(double)p 5574 2925 V 5591 2925
817
V 3034 2928 2558 4 v 3032 3028 4 100 v 3049 3028 V 3101
818
2998 a(c)p 3269 3028 V 183 w(single)f(precision)f(complex)p
819
4280 3028 V 136 w(v)n(oid)p 4620 3028 V 186 w(\015oat)p
820
5017 3028 V 235 w(const)i(v)n(oid*)p 5574 3028 V 5591
821
3028 V 3034 3031 2558 4 v 3032 3131 4 100 v 3049 3131
822
V 3101 3101 a(z)p 3269 3131 V 183 w(double)f(precision)g(complex)p
823
4280 3131 V 99 w(v)n(oid)p 4620 3131 V 186 w(double)p
824
5017 3131 V 157 w(const)h(v)n(oid*)p 5574 3131 V 5591
825
3131 V 3034 3134 2558 4 v 3034 3150 V eop
827
2 1 bop 1454 -171 a Fn(A)-11 b(TLAS)43 b(F)l(OR)-11 b(TRAN77)45
828
b(LAP)-11 b(A)l(CK)44 b(API)g(REFERENCE)-9 207 y Fm(SUBR)n(OUTINE)50
829
b Fl(\()p Fm(AR)n(GUMENTS\))1950 b(DESCRIPTION)1824 b(PREFIXES)-9
830
286 y Fk(})p Fl(GESV)349 b(\()24 b(N,)f(NRHS,)g(A,)g(LD)n(A,)g(IPIV,)h
831
(B,)f(LDB,)g(INF)n(O)h(\))1168 b(using)25 b Fj(P)10 b(A)22
832
b Fl(=)h Fj(LU)7 b Fl(,)25 b Fj(B)h Fk( )d Fj(A)3909
833
263 y Fi(\000)p Fh(1)3991 286 y Fj(B)s Fl(,)j Fj(A)c
834
Fk( )h Fj(LU)7 b Fl(,)25 b Fj(I)5 b(P)10 b(I)5 b(V)37
835
b Fk( )22 b Fj(P)35 b Fl(\()p Fj(L)26 b Fl(is)f(unit)h(diagonal,)3141
836
365 y Fj(P)33 b Fl(piv)n(ots)24 b(ro)n(ws\))5541 286
837
y(S,)f(D,)g(C,)g(Z)-9 440 y Fk(})p Fl(GETRF)292 b(\()24
838
b(M,)f(N,)g(A,)g(LD)n(A,)g(IPIV,)g(INF)n(O)h(\))1585
839
b(using)24 b Fj(P)10 b(A)19 b Fl(=)g Fj(LU)7 b Fl(,)23
840
b Fj(A)d Fk( )f Fj(LU)7 b Fl(,)23 b Fj(ipiv)f Fk( )d
841
Fj(P)33 b Fl(\()p Fj(L)24 b Fl(is)f(unit)h(diagonal,)g
842
Fj(P)33 b Fl(piv)n(ots)24 b(ro)n(ws\))177 b(S,)23 b(D,)g(C,)g(Z)-9
843
519 y Fk(})p Fl(GETRS)299 b(\()24 b(TRANS,)f(N,)g(NRHS,)g(A,)g(LD)n(A,)
844
g(IPIV,)h(B,)f(LDB,)g(INF)n(O)g(\))878 b Fj(B)23 b Fk( )c
845
Fj(op)p Fl(\()p Fj(A)p Fl(\))3484 495 y Fi(\000)p Fh(1)3567
846
519 y Fj(B)s Fl(,)24 b(assuming)e Fj(A)e Fl(=)f Fj(LU)7
847
b Fl(,)23 b Fj(ipiv)f Fl(=)e Fj(P)10 b Fl(,)22 b Fj(op)p
848
Fl(\()p Fj(X)5 b Fl(\))21 b(=)e Fj(X)q(;)12 b(X)5014
849
495 y Fg(T)5063 519 y Fj(;)f(X)5157 495 y Fg(H)5541 519
850
y Fl(S,)23 b(D,)g(C,)g(Z)-9 598 y Fk(})p Fl(GETRI)313
851
b(\()24 b(N,)f(A,)g(LD)n(A,)g(IPIV,)h(W)n(ORK,)f(L)-8
852
b(W)n(ORK,)23 b(INF)n(O)h(\))1106 b Fj(A)19 b Fk( )h
853
Fj(A)3357 574 y Fi(\000)p Fh(1)3439 598 y Fl(,)j(assuming)g
854
Fj(A)c Fl(=)h Fj(LU)7 b Fl(,)23 b Fj(ipiv)f Fl(=)d Fj(P)1200
855
b Fl(S,)23 b(D,)g(C,)g(Z)-9 676 y Fk(})p Fl(POSV)349
856
b(\()24 b(UPLO,)f(N,)g(NRHS,)g(A,)g(LD)n(A,)g(B,)g(LDB,)g(INF)n(O)h(\))
857
1120 b Fj(B)23 b Fk( )c Fj(A)3360 653 y Fi(\000)p Fh(1)3443
858
676 y Fj(B)s Fl(,)k(using)h Fj(A)19 b Fk( )h Fj(U)3945
859
653 y Fg(T)3993 676 y Fj(U)30 b Fl(or)24 b Fj(A)19 b
860
Fk( )g Fj(LL)4416 653 y Fg(T)4489 676 y Fl(or)k Fj(A)c
861
Fk( )g Fj(U)4792 653 y Fg(H)4850 676 y Fj(U)30 b Fl(or)24
862
b Fj(A)19 b Fk( )g Fj(LL)5273 653 y Fg(H)5541 676 y Fl(S,)k(D,)g(C,)g
863
(Z)-9 755 y Fk(})p Fl(POTRF)292 b(\()24 b(UPLO,)f(N,)g(A,)g(LD)n(A,)g
864
(INF)n(O)h(\))1644 b Fj(A)19 b Fk( )h Fj(U)3359 732 y
865
Fg(T)3407 755 y Fj(U)30 b Fl(or)24 b Fj(A)19 b Fk( )g
866
Fj(LL)3830 732 y Fg(T)3903 755 y Fl(or)k Fj(A)c Fk( )g
867
Fj(U)4206 732 y Fg(H)4264 755 y Fj(U)30 b Fl(or)24 b
868
Fj(A)19 b Fk( )g Fj(LL)4687 732 y Fg(H)5541 755 y Fl(S,)k(D,)g(C,)g(Z)
869
-9 834 y Fk(})p Fl(POTRS)299 b(\()24 b(UPLO,)f(N,)g(NRHS,)g(A,)g(LD)n
870
(A,)g(B,)g(LDB,)g(INF)n(O)h(\))1120 b Fj(B)39 b Fk( )d
871
Fj(op)p Fl(\()p Fj(A)p Fl(\))3517 811 y Fi(\000)p Fh(1)3600
872
834 y Fj(B)s Fl(,)f(assuming)e Fj(A)j Fl(=)f Fj(U)4262
873
811 y Fg(T)4311 834 y Fj(U)40 b Fl(or)33 b Fj(A)j Fl(=)f
874
Fj(LL)4770 811 y Fg(T)4852 834 y Fl(or)e Fj(A)j Fl(=)g
875
Fj(U)5183 811 y Fg(H)5240 834 y Fj(U)k Fl(or)3141 913
876
y Fj(A)19 b Fl(=)h Fj(LL)3384 890 y Fg(H)5541 834 y Fl(S,)j(D,)g(C,)g
877
(Z)-9 979 y Fk(})p Fl(POTRI)313 b(\()24 b(UPLO,)f(N,)g(A,)g(LD)n(A,)g
878
(INF)n(O)h(\))1644 b Fj(B)39 b Fk( )d Fj(op)p Fl(\()p
879
Fj(A)p Fl(\))3517 955 y Fi(\000)p Fh(1)3600 979 y Fj(B)s
880
Fl(,)f(assuming)e Fj(A)j Fl(=)f Fj(U)4262 955 y Fg(T)4311
881
979 y Fj(U)40 b Fl(or)33 b Fj(A)j Fl(=)f Fj(LL)4770 955
882
y Fg(T)4852 979 y Fl(or)e Fj(A)j Fl(=)g Fj(U)5183 955
883
y Fg(H)5240 979 y Fj(U)k Fl(or)3141 1058 y Fj(A)19 b
884
Fl(=)h Fj(LL)3384 1034 y Fg(H)5541 979 y Fl(S,)j(D,)g(C,)g(Z)-9
885
1123 y Fk(})p Fl(LA)n(UUM)278 b(\(UPLO,)23 b(N,)g(A,)g(LD)n(A,)g(INF)n
886
(O\))1692 b Fj(A)19 b Fk( )h Fj(U)7 b(U)3414 1100 y Fg(H)3494
887
1123 y Fl(or)24 b Fj(A)19 b Fk( )g Fj(L)3791 1100 y Fg(H)3849
888
1123 y Fj(L)1644 b Fl(S,)23 b(D,)g(C,)g(Z)-9 1202 y Fk(})p
889
Fl(TR)-6 b(TRI)319 b(\(UPLO,)23 b(DIA)n(G,)h(N,)f(A,)g(LD)n(A,)g(INF)n
890
(O\))1463 b Fj(A)19 b Fk( )h Fj(A)3357 1179 y Fi(\000)p
891
Fh(1)3439 1202 y Fl(,)j(giv)n(en)h Fj(A)g Fl(is)f(an)h(Upp)r(er)f(or)h
892
(Lo)n(w)n(er)g(triangular)f(matrix)582 b(S,)23 b(D,)g(C,)g(Z)p
896
userdict /end-hook known{end-hook}if