(original) (raw)

%!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: lapackqref.dvi %%Pages: 2 %%PageOrder: Ascend %%Orientation: Landscape %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -tlandscape -o lapackqref.ps lapackqref %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2003.04.24:1345 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true 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1391 y Fj(U)4191 1470 y Fl(or)21 b Fj(A)e Fl(=)h Fj(LL)4518 1447 y Fg(T)4587 1470 y Fl(or)h Fj(A)f Fl(=)f Fj(U)4873 1447 y Fg(H)4931 1470 y Fj(U)28 b Fl(or)20 b Fj(A)g Fl(=)f Fj(LL)5333 1447 y Fg(H)5541 1391 y Fl(S,)k(D,)g(C,)g(Z)-9 1551 y(in)n(t)h(clapac)n (k)p 329 1551 V 27 w Fk(})p Fl(p)r(otri)32 b(\()24 b(const)h(en)n(um)e (CBLAS)p 1258 1551 V 25 w(ORDER)g(Order,)g(const)i(en)n(um)e(A)-6 b(TLAS)p 2400 1551 V 25 w(UPLO)24 b(Uplo,)f(const)h(in)n(t)g(N,)f(TYPE) g(*A,)h(const)g(in)n(t)g(lda)g(\))176 b Fj(A)45 b Fk( )g Fj(A)4458 1527 y Fi(\000)p Fh(1)4540 1551 y Fl(,)e(assuming)38 b(on)h(en)n(try)h Fj(A)45 b Fl(=)4191 1630 y Fj(U)4246 1606 y Fg(T)4294 1630 y Fj(U)d Fl(or)34 b Fj(A)k Fl(=)g Fj(LL)4761 1606 y Fg(T)4845 1630 y Fl(or)c Fj(A)k Fl(=)g Fj(U)5181 1606 y Fg(H)5239 1630 y Fj(U)j Fl(or)4191 1708 y Fj(A)19 b Fl(=)h Fj(LL)4434 1685 y Fg(H)5541 1551 y Fl(S,)j(D,)g(C,)g(Z)-9 1774 y(in)n(t)16 b(clapac)n(k)p 321 1774 V 27 w Fk(})p Fl(lauum)n(\(const)25 b(en)n(um)e(A)-6 b(TLAS)p 1231 1774 V 26 w(ORDER)23 b(Order,)f(const)j(en)n(um)e(A)-6 b(TLAS)p 2373 1774 V 26 w(UPLO)23 b(Uplo,)g(const)i(in)n(t)f(N,)f(TYPE) g(*A,)g(const)i(in)n(t)f(lda\))226 b Fj(A)19 b Fk( )h Fj(U)7 b(U)4464 1751 y Fg(H)4544 1774 y Fl(or)24 b Fj(A)19 b Fk( )g Fj(L)4841 1751 y Fg(H)4899 1774 y Fj(L)594 b Fl(S,)23 b(D,)g(C,)g(Z)-9 1853 y(in)n(t)h(clapac)n(k)p 329 1853 V 27 w Fk(})p Fl(trtri)53 b(\()25 b(const)h(en)n(um)f(A)-6 b(TLAS)p 1259 1853 V 25 w(ORDER)25 b(Order,)f(const)i(en)n(um)e(A)-6 b(TLAS)p 2406 1853 V 26 w(UPLO)24 b(Uplo,)h(const)h(en)n(um)e(A)-6 b(TLAS)p 3459 1853 V 26 w(DIA)n(G)25 b(Diag,)g(const)591 1932 y(in)n(t)f(N,)f(TYPE)g(*A,)g(const)i(in)n(t)f(lda)f(\))4191 1853 y Fj(A)46 b Fk( )f Fj(A)4459 1830 y Fi(\000)p Fh(1)4542 1853 y Fl(,)d(giv)n(en)e Fj(A)f Fl(is)g(an)h(Upp)r(er)f(or)4191 1932 y(Lo)n(w)n(er)24 b(triangular)f(matrix)5541 1853 y(S,)g(D,)g(C,)g(Z)1262 2396 y Ff(NOTES:)155 2570 y Fe(\017)45 b Fd(C)g(in)n(terface)f(DESCRIPTIONs)g(assume)g Fc(Order)d(==)i (CblasRowMajor)p Fd(.)83 b(F)-7 b(or)242 2670 y(column-ma)5 b(jor)26 b(descriptions,)h(consult)g(the)h(F)-7 b(ortran77)25 b(descriptions.)155 2819 y Fe(\017)45 b Fd(All)28 b(C)f(functions)h (return)g(LAP)-7 b(A)n(CK's)26 b Fc(INFO)g Fd(parameter)155 2969 y Fe(\017)45 b Fd(C)27 b(Calling)g(routines)g(should)h(include)g (the)g(BLAS)f(header)g(\014le,)h Fc(cblas.h)p Fd(.)155 3118 y Fe(\017)45 b Fd(Cases)26 b(sep)r(erated)h(b)n(y)h 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 (t)n(yp)r(e.)155 3267 y Fe(\017)45 b Fd(More)27 b(information)f(a)n(v) -5 b(ailable)27 b(at)g Fc(http://math-atlas)o(.s)o(our)o(ce)o(fo)o(rge) o(.n)o(et/)o Fd(.)3441 2558 y Fa(PREFIX)34 b(RELA)-9 b(TED)35 b(DEFINITIONS)e(:)p 3034 2569 2558 4 v 3034 2586 V 3032 2686 4 100 v 3049 2686 V 3101 2656 a Fe(})p Fd(is)p 3269 2686 V 99 w(Data)27 b(op)r(erated)p 4280 2686 V 488 w(TYPE)p 4620 2686 V 103 w(UTYPE)p 5017 2686 V 99 w(SCALAR)p 5574 2686 V 5591 2686 V 3034 2689 2558 4 v 3034 2705 V 3032 2805 4 100 v 3049 2805 V 3101 2775 a(s)p 3269 2805 V 187 w(single)g(precision)f(real)p 4280 2805 V 299 w(\015oat)p 4620 2805 V 177 w(\015oat)p 5017 2805 V 235 w(const)i(\015oat)p 5574 2805 V 5591 2805 V 3034 2808 2558 4 v 3032 2908 4 100 v 3049 2908 V 3101 2878 a(d)p 3269 2908 V 174 w(double)f(precision)g(real)p 4280 2908 V 262 w(double)p 4620 2908 V 99 w(double)p 5017 2908 V 157 w(const)h(double)p 5574 2908 V 5591 2908 V 3034 2911 2558 4 v 3032 3011 4 100 v 3049 3011 V 3101 2981 a(c)p 3269 3011 V 183 w(single)f(precision)f(complex)p 4280 3011 V 136 w(v)n(oid)p 4620 3011 V 186 w(\015oat)p 5017 3011 V 235 w(const)i(v)n(oid*)p 5574 3011 V 5591 3011 V 3034 3014 2558 4 v 3032 3114 4 100 v 3049 3114 V 3101 3084 a(z)p 3269 3114 V 183 w(double)f(precision)g(complex)p 4280 3114 V 99 w(v)n(oid)p 4620 3114 V 186 w(double)p 5017 3114 V 157 w(const)h(v)n(oid*)p 5574 3114 V 5591 3114 V 3034 3117 2558 4 v 3034 3134 V eop %%Page: 2 2 2 1 bop 1454 -171 a Fn(A)-11 b(TLAS)43 b(F)l(OR)-11 b(TRAN77)45 b(LAP)-11 b(A)l(CK)44 b(API)g(REFERENCE)-9 207 y Fm(SUBR)n(OUTINE)50 b Fl(\()p Fm(AR)n(GUMENTS\))1950 b(DESCRIPTION)1824 b(PREFIXES)-9 286 y Fk(})p Fl(GESV)349 b(\()24 b(N,)f(NRHS,)g(A,)g(LD)n(A,)g(IPIV,)h (B,)f(LDB,)g(INF)n(O)h(\))1168 b(using)25 b Fj(P)10 b(A)22 b Fl(=)h Fj(LU)7 b Fl(,)25 b Fj(B)h Fk( )d Fj(A)3909 263 y Fi(\000)p Fh(1)3991 286 y Fj(B)s Fl(,)j Fj(A)c Fk( )h Fj(LU)7 b Fl(,)25 b Fj(I)5 b(P)10 b(I)5 b(V)37 b Fk( )22 b Fj(P)35 b Fl(\()p Fj(L)26 b Fl(is)f(unit)h(diagonal,)3141 365 y Fj(P)33 b Fl(piv)n(ots)24 b(ro)n(ws\))5541 286 y(S,)f(D,)g(C,)g(Z)-9 440 y Fk(})p Fl(GETRF)292 b(\()24 b(M,)f(N,)g(A,)g(LD)n(A,)g(IPIV,)g(INF)n(O)h(\))1585 b(using)24 b Fj(P)10 b(A)19 b Fl(=)g Fj(LU)7 b Fl(,)23 b Fj(A)d Fk( )f Fj(LU)7 b Fl(,)23 b Fj(ipiv)f Fk( )d Fj(P)33 b Fl(\()p Fj(L)24 b Fl(is)f(unit)h(diagonal,)g Fj(P)33 b Fl(piv)n(ots)24 b(ro)n(ws\))177 b(S,)23 b(D,)g(C,)g(Z)-9 519 y Fk(})p Fl(GETRS)299 b(\()24 b(TRANS,)f(N,)g(NRHS,)g(A,)g(LD)n(A,) g(IPIV,)h(B,)f(LDB,)g(INF)n(O)g(\))878 b Fj(B)23 b Fk( )c Fj(op)p Fl(\()p Fj(A)p Fl(\))3484 495 y Fi(\000)p Fh(1)3567 519 y Fj(B)s Fl(,)24 b(assuming)e Fj(A)e Fl(=)f Fj(LU)7 b Fl(,)23 b Fj(ipiv)f Fl(=)e Fj(P)10 b Fl(,)22 b Fj(op)p Fl(\()p Fj(X)5 b Fl(\))21 b(=)e Fj(X)q(;)12 b(X)5014 495 y Fg(T)5063 519 y Fj(;)f(X)5157 495 y Fg(H)5541 519 y Fl(S,)23 b(D,)g(C,)g(Z)-9 598 y Fk(})p Fl(GETRI)313 b(\()24 b(N,)f(A,)g(LD)n(A,)g(IPIV,)h(W)n(ORK,)f(L)-8 b(W)n(ORK,)23 b(INF)n(O)h(\))1106 b Fj(A)19 b Fk( )h Fj(A)3357 574 y Fi(\000)p Fh(1)3439 598 y Fl(,)j(assuming)g Fj(A)c Fl(=)h Fj(LU)7 b Fl(,)23 b Fj(ipiv)f Fl(=)d Fj(P)1200 b Fl(S,)23 b(D,)g(C,)g(Z)-9 676 y Fk(})p Fl(POSV)349 b(\()24 b(UPLO,)f(N,)g(NRHS,)g(A,)g(LD)n(A,)g(B,)g(LDB,)g(INF)n(O)h(\)) 1120 b Fj(B)23 b Fk( )c Fj(A)3360 653 y Fi(\000)p Fh(1)3443 676 y Fj(B)s Fl(,)k(using)h Fj(A)19 b Fk( )h Fj(U)3945 653 y Fg(T)3993 676 y Fj(U)30 b Fl(or)24 b Fj(A)19 b Fk( )g Fj(LL)4416 653 y Fg(T)4489 676 y Fl(or)k Fj(A)c Fk( )g Fj(U)4792 653 y Fg(H)4850 676 y Fj(U)30 b Fl(or)24 b Fj(A)19 b Fk( )g Fj(LL)5273 653 y Fg(H)5541 676 y Fl(S,)k(D,)g(C,)g (Z)-9 755 y Fk(})p Fl(POTRF)292 b(\()24 b(UPLO,)f(N,)g(A,)g(LD)n(A,)g (INF)n(O)h(\))1644 b Fj(A)19 b Fk( )h Fj(U)3359 732 y Fg(T)3407 755 y Fj(U)30 b Fl(or)24 b Fj(A)19 b Fk( )g Fj(LL)3830 732 y Fg(T)3903 755 y Fl(or)k Fj(A)c Fk( )g Fj(U)4206 732 y Fg(H)4264 755 y Fj(U)30 b Fl(or)24 b Fj(A)19 b Fk( )g Fj(LL)4687 732 y Fg(H)5541 755 y Fl(S,)k(D,)g(C,)g(Z) -9 834 y Fk(})p Fl(POTRS)299 b(\()24 b(UPLO,)f(N,)g(NRHS,)g(A,)g(LD)n (A,)g(B,)g(LDB,)g(INF)n(O)h(\))1120 b Fj(B)39 b Fk( )d Fj(op)p Fl(\()p Fj(A)p Fl(\))3517 811 y Fi(\000)p Fh(1)3600 834 y Fj(B)s Fl(,)f(assuming)e Fj(A)j Fl(=)f Fj(U)4262 811 y Fg(T)4311 834 y Fj(U)40 b Fl(or)33 b Fj(A)j Fl(=)f Fj(LL)4770 811 y Fg(T)4852 834 y Fl(or)e Fj(A)j Fl(=)g Fj(U)5183 811 y Fg(H)5240 834 y Fj(U)k Fl(or)3141 913 y Fj(A)19 b Fl(=)h Fj(LL)3384 890 y Fg(H)5541 834 y Fl(S,)j(D,)g(C,)g (Z)-9 979 y Fk(})p Fl(POTRI)313 b(\()24 b(UPLO,)f(N,)g(A,)g(LD)n(A,)g (INF)n(O)h(\))1644 b Fj(B)39 b Fk( )d Fj(op)p Fl(\()p Fj(A)p Fl(\))3517 955 y Fi(\000)p Fh(1)3600 979 y Fj(B)s Fl(,)f(assuming)e Fj(A)j Fl(=)f Fj(U)4262 955 y Fg(T)4311 979 y Fj(U)40 b Fl(or)33 b Fj(A)j Fl(=)f Fj(LL)4770 955 y Fg(T)4852 979 y Fl(or)e Fj(A)j Fl(=)g Fj(U)5183 955 y Fg(H)5240 979 y Fj(U)k Fl(or)3141 1058 y Fj(A)19 b Fl(=)h Fj(LL)3384 1034 y Fg(H)5541 979 y Fl(S,)j(D,)g(C,)g(Z)-9 1123 y Fk(})p Fl(LA)n(UUM)278 b(\(UPLO,)23 b(N,)g(A,)g(LD)n(A,)g(INF)n (O\))1692 b Fj(A)19 b Fk( )h Fj(U)7 b(U)3414 1100 y Fg(H)3494 1123 y Fl(or)24 b Fj(A)19 b Fk( )g Fj(L)3791 1100 y Fg(H)3849 1123 y Fj(L)1644 b Fl(S,)23 b(D,)g(C,)g(Z)-9 1202 y Fk(})p Fl(TR)-6 b(TRI)319 b(\(UPLO,)23 b(DIA)n(G,)h(N,)f(A,)g(LD)n(A,)g(INF)n (O\))1463 b Fj(A)19 b Fk( )h Fj(A)3357 1179 y Fi(\000)p 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 (Lo)n(w)n(er)g(triangular)f(matrix)582 b(S,)23 b(D,)g(C,)g(Z)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF