diff --git a/README b/README index 1d0cefd9..a5190277 100644 --- a/README +++ b/README @@ -4,6 +4,7 @@ This directory contains the PSBLAS library, version 2.0. Release Candidate 1: For the time being, even if the docs say that we have both real and complex, we only have real data. When we have complex data it will be declared RC2 or V2.0. +The users' guide is not yet completed. The version 1.0 of the library was described in: diff --git a/docs/pdf/datastruct.tex b/docs/pdf/datastruct.tex index 2ec1a8b2..98d3d359 100644 --- a/docs/pdf/datastruct.tex +++ b/docs/pdf/datastruct.tex @@ -15,8 +15,7 @@ The \hypertarget{spdata}{{\tt psb\_spmat\_type}} data structure contains all information about local portion of the sparse matrix and its storage mode. Many of this fields are set in fully-transparent mode by PSBLAS-TOOLS routines when inserting a new sparse matrix, user -must set only fields which describe matrix storage mode (see -\S~\ref{psb_spall}). \\ +must set only fields which describe matrix storage mode. \\ Fields contained in Sparse matrix structures are: \begin{description} \item[{\bf aspk}] Contains values of the local distributed sparse @@ -52,7 +51,6 @@ as in Coordinate Storage or Compressed Sparse Rows, should be greater than or equal to the maximum column index actually present in the sparse matrix. Specified as: integer variable. \end{description} -Values assumed by this fields are compatible with ref. 1 (see \S~\ref{chap:appendix}).\\ FORTRAN95 interface for distributed sparse matrices containing double precision real entries is defined as in figure~\ref{fig:spmattype}. \begin{figure}[h!] diff --git a/docs/pdf/intro.tex b/docs/pdf/intro.tex index 6c9e3bbd..ff5c70fb 100644 --- a/docs/pdf/intro.tex +++ b/docs/pdf/intro.tex @@ -67,9 +67,8 @@ library~\cite{scalapack}. The layered structure of the PSBLAS library is shown in figure~\ref{fig:psblas} ; lower layers of the library indicate an encapsulation relationship with upper layers. The ongoing discussion focuses on the Fortran~95 layer immediately below the -application layer; two examples of iterative solvers built through the -PSBLAS routines, will be also given in Section~\ref{sec:itmethd}. The -serial parts of the computation on each process are executed through +application layer. +The serial parts of the computation on each process are executed through calls to the serial sparse BLAS subroutines. In a similar way, the inter-process message exchanges are implemented through the Basic Linear Algebra Communication Subroutines (BLACS) library~\cite{BLACS} @@ -114,11 +113,11 @@ internally defined in the PSBLAS software package: \item all the subroutine names follow the rule \verb|psb_xxname| where \verb|xx| can be either: \begin{itemize} - \item \verb|ds|: the routine is related to dense data, + \item \verb|ge|: the routine is related to dense data, \item \verb|sp|: the routine is related to sparse data, \item \verb|cd|: the routine is related to communication descriptor (see~\ref{sec:datastruct}). \end{itemize} - For example the \verb|psb_dsins|, \verb|psb_spins| and + For example the \verb|psb_geins|, \verb|psb_spins| and \verb|psb_cdins| perform the same action (see~\ref{sec:toolsrout}) on dense matrices, sparse matrices and communication descriptors respectively. diff --git a/docs/pdf/precs.tex b/docs/pdf/precs.tex index 2eeb9404..85b5db86 100644 --- a/docs/pdf/precs.tex +++ b/docs/pdf/precs.tex @@ -3,30 +3,17 @@ % \section{Preconditioners} \label{sec:psprecs} -Preconditioning is somehow regarded as ``black magic''. This is due to -the fact that theory doesn't provide a reliable support in the choice -of a preconditioner. It is clear that the influence of a -preconditioning technique on the convergence behavior of an iterative -method mostly depends on the characteristics of the system matrix and -of the method itself. Anyway it is not possible a priori to say that -one preconditioner is algebrically better than another and this perfectly explains -the importance of providing a wide range of preconditioners techniques -so that the user can find by itself which one is more suitable for his -problem. Moreover, there are some other issues to consider when -choosing a preconditioner such as balancing the overhead of building -the preconditioner with the reduction in the number of -iterations. PSBLAS contains the implementation of many preconditioning +PSBLAS contains the implementation of many preconditioning techniques some of which are very flexible thanks to the presence of many parameters that is possible to adjust to fit the user's needs: \begin{itemize} \item Diagonal Scaling \item Block Jacobi with ILU(0) factorization \item Additive Schwarz with the Restricted Additive Schwarz and - Additive Schwarz with Harmonic extensions (see - chapter~\ref{sec:pprec}) + Additive Schwarz with Harmonic extensions; \item Two-Level Additive Schwarz; this is actually a family of preconditioners since there is the possibility to choose between - many variants as explained in chapter~\ref{sec:mlprec} + many variants. \end{itemize} diff --git a/docs/pdf/toolsrout.tex b/docs/pdf/toolsrout.tex index 6b1e81c9..395c4e32 100644 --- a/docs/pdf/toolsrout.tex +++ b/docs/pdf/toolsrout.tex @@ -1,5 +1,5 @@ \section{Data management and initialization routines} -\label{sec:toolrout} +\label{sec:toolsrout} % %% psb_alloc %% % diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 06d3030b..215bd841 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -407,7 +407,7 @@ ET 0 g 0 G 1 0 0 1 -352.877 -393.511 cm BT -/F19 11.955 Tf 358.73 393.511 Td[(b)31(y)-375(Sa)1(lv)63(ato)1(r)-1(e)-375(Fil)1(ipp)-31(o)1(ne)]TJ 15.159 -22.416 Td[(and)-375(A)1(lfre)-1(do)-374(But)1(tari)]TJ/F15 11.955 Tf -145.734 -30.386 Td[(\134T)82(or)-326(V)82(e)-1(r)1(ga)1(ta")-326(Univ)28(e)-1(r)1(s)-1(it)28(y)-326(of)-327(R)1(ome.)-435(Marc)27(h)-326(10)1(,)-327(2)1(00)1(6)]TJ +/F19 11.955 Tf 358.73 393.511 Td[(b)31(y)-375(Sa)1(lv)63(ato)1(r)-1(e)-375(Fil)1(ipp)-31(o)1(ne)]TJ 15.159 -22.416 Td[(and)-375(A)1(lfre)-1(do)-374(But)1(tari)]TJ/F15 11.955 Tf -145.734 -30.386 Td[(\134T)82(or)-326(V)82(e)-1(r)1(ga)1(ta")-326(Univ)28(e)-1(r)1(s)-1(it)28(y)-326(of)-327(R)1(ome.)-435(Marc)27(h)-326(13)1(,)-327(2)1(00)1(6)]TJ ET 1 0 0 1 81.963 93.427 cm 0 g 0 G @@ -2835,7 +2835,7 @@ endobj /ProcSet 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0 0 1 -163.917 -442.519 cm +1 0 0 1 -163.917 -467.805 cm BT -/F19 11.955 Tf 167.952 442.519 Td[(dat)1(a)]TJ +/F19 11.955 Tf 167.952 467.805 Td[(dat)1(a)]TJ ET -1 0 0 1 193.73 442.519 cm +1 0 0 1 193.73 467.805 cm 0 g 0 G -1 0 0 1 -193.73 -442.519 cm +1 0 0 1 -193.73 -467.805 cm BT -/F15 11.955 Tf 199.583 442.519 Td[(includes)-368(general)-368(info)1(rmatio)1(n)-368(ab)-27(o)1(ut)-368(mat)1(rix)-368(and)-367(B)-1(LA)27(CS)-368(g)1(rid.)]TJ -46.512 -14.446 Td[(More)-326(precis)-1(ely)1(:)]TJ +/F15 11.955 Tf 199.583 467.805 Td[(includes)-368(general)-368(info)1(rmatio)1(n)-368(ab)-27(o)1(ut)-368(mat)1(rix)-368(and)-367(B)-1(LA)27(CS)-368(g)1(rid.)]TJ -46.512 -14.446 Td[(More)-326(precis)-1(ely)1(:)]TJ ET -1 0 0 1 147.218 402.788 cm +1 0 0 1 147.218 428.073 cm 0 g 0 G -1 0 0 1 -147.218 -402.788 cm +1 0 0 1 -147.218 -428.073 cm BT -/F19 11.955 Tf 153.071 402.788 Td[(m)1(atrix)]TJ +/F19 11.955 Tf 153.071 428.073 Td[(m)1(atrix)]TJ ET -1 0 0 1 193.182 402.788 cm +1 0 0 1 193.182 428.073 cm q []0 d 0 J @@ -3820,11 +3843,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -193.182 -402.788 cm +1 0 0 1 -193.182 -428.073 cm BT -/F19 11.955 Tf 197.217 402.788 Td[(dat)1(a[psb)]TJ +/F19 11.955 Tf 197.217 428.073 Td[(dat)1(a[psb)]TJ ET -1 0 0 1 247.787 402.788 cm +1 0 0 1 247.787 428.073 cm q []0 d 0 J @@ -3833,11 +3856,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -247.787 -402.788 cm +1 0 0 1 -247.787 -428.073 cm BT -/F19 11.955 Tf 251.822 402.788 Td[(dec)]TJ +/F19 11.955 Tf 251.822 428.073 Td[(dec)]TJ ET -1 0 0 1 272.215 402.788 cm +1 0 0 1 272.215 428.073 cm q []0 d 0 J @@ -3846,11 +3869,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -272.215 -402.788 cm +1 0 0 1 -272.215 -428.073 cm BT -/F19 11.955 Tf 276.25 402.788 Td[(t)32(yp)-31(e)]TJ +/F19 11.955 Tf 276.25 428.073 Td[(t)32(yp)-31(e)]TJ ET -1 0 0 1 302.994 402.788 cm +1 0 0 1 302.994 428.073 cm q []0 d 0 J @@ -3859,23 +3882,23 @@ q 4.035 0.199 l S Q -1 0 0 1 -302.994 -402.788 cm +1 0 0 1 -302.994 -428.073 cm BT -/F19 11.955 Tf 307.029 402.788 Td[(])]TJ +/F19 11.955 Tf 307.029 428.073 Td[(])]TJ ET -1 0 0 1 310.765 402.788 cm +1 0 0 1 310.765 428.073 cm 0 g 0 G -1 0 0 1 -310.765 -402.788 cm +1 0 0 1 -310.765 -428.073 cm BT -/F15 11.955 Tf 316.618 402.788 Td[(Iden)27(ti\014es)-218(the)-218(deco)1(mp)-28(o)1(sition)-217(t)27(yp)-27(e)-218(\050g)1(loba)1(l\051;)]TJ -137.794 -14.446 Td[(the)-380(a)1(ctual)-380(v)55(alu)1(e)-1(s)-380(a)1(re)-380(in)27(tern)1(ally)-380(de\014ned,)-393(so)-380(t)1(hey)-380(should)-380(n)1(e)-1(v)28(er)-380(b)-27(e)]TJ 0 -14.446 Td[(access)-1(ed)-326(directly)82(.)]TJ +/F15 11.955 Tf 316.618 428.073 Td[(Iden)27(ti\014es)-218(the)-218(deco)1(mp)-28(o)1(sition)-217(t)27(yp)-27(e)-218(\050g)1(loba)1(l\051;)]TJ -137.794 -14.446 Td[(the)-380(a)1(ctual)-380(v)55(alu)1(e)-1(s)-380(a)1(re)-380(in)27(tern)1(ally)-380(de\014ned,)-393(so)-380(t)1(hey)-380(should)-380(n)1(e)-1(v)28(er)-380(b)-27(e)]TJ 0 -14.445 Td[(access)-1(ed)-326(directly)82(.)]TJ ET -1 0 0 1 147.218 354.118 cm +1 0 0 1 147.218 379.404 cm 0 g 0 G -1 0 0 1 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+1 0 0 1 283.936 379.404 cm 0 g 0 G -1 0 0 1 -283.936 -354.118 cm +1 0 0 1 -283.936 -379.404 cm BT -/F15 11.955 Tf 289.789 354.118 Td[(Comm)27(unica)1(tion)-355(co)1(n)27(text)-355(a)1(s)-355(returned)-355(b)27(y)-354(the)]TJ -110.965 -14.446 Td[(BLA)27(CS)-327(\050)1(globa)1(l\051.)]TJ +/F15 11.955 Tf 289.789 379.404 Td[(Comm)27(unica)1(tion)-355(co)1(n)27(text)-355(a)1(s)-355(returned)-355(b)27(y)-354(the)]TJ -110.965 -14.446 Td[(BLA)27(CS)-327(\050)1(globa)1(l\051.)]TJ ET -1 0 0 1 147.218 319.894 cm +1 0 0 1 147.218 345.18 cm 0 g 0 G -1 0 0 1 -147.218 -319.894 cm +1 0 0 1 -147.218 -345.18 cm BT -/F19 11.955 Tf 153.071 319.894 Td[(m)1(atrix)]TJ +/F19 11.955 Tf 153.071 345.18 Td[(m)1(atrix)]TJ ET -1 0 0 1 193.182 319.894 cm +1 0 0 1 193.182 345.18 cm q []0 d 0 J @@ -3935,11 +3958,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -193.182 -319.894 cm +1 0 0 1 -193.182 -345.18 cm BT -/F19 11.955 Tf 197.217 319.894 Td[(dat)1(a[psb)]TJ +/F19 11.955 Tf 197.217 345.18 Td[(dat)1(a[psb)]TJ ET -1 0 0 1 247.787 319.894 cm +1 0 0 1 247.787 345.18 cm q []0 d 0 J @@ -3948,11 +3971,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -247.787 -319.894 cm +1 0 0 1 -247.787 -345.18 cm BT -/F19 11.955 Tf 251.822 319.894 Td[(m)]TJ +/F19 11.955 Tf 251.822 345.18 Td[(m)]TJ ET -1 0 0 1 263.837 319.894 cm +1 0 0 1 263.837 345.18 cm q []0 d 0 J @@ -3961,23 +3984,23 @@ q 4.035 0.199 l S Q -1 0 0 1 -263.837 -319.894 cm +1 0 0 1 -263.837 -345.18 cm BT -/F19 11.955 Tf 267.872 319.894 Td[(])]TJ +/F19 11.955 Tf 267.872 345.18 Td[(])]TJ ET -1 0 0 1 271.608 319.894 cm +1 0 0 1 271.608 345.18 cm 0 g 0 G -1 0 0 1 -271.608 -319.894 cm +1 0 0 1 -271.608 -345.18 cm BT -/F15 11.955 Tf 277.461 319.894 Td[(T)81(o)1(tal)-326(n)27(um)28(b)-28(er)-326(of)-326(equat)1(ions)-327(\050)1(globa)1(l\051.)]TJ +/F15 11.955 Tf 277.461 345.18 Td[(T)81(o)1(tal)-326(n)27(um)28(b)-28(er)-326(of)-326(equat)1(ions)-327(\050)1(globa)1(l\051.)]TJ ET -1 0 0 1 147.218 300.116 cm +1 0 0 1 147.218 325.402 cm 0 g 0 G -1 0 0 1 -147.218 -300.116 cm +1 0 0 1 -147.218 -325.402 cm BT -/F19 11.955 Tf 153.071 300.116 Td[(m)1(atrix)]TJ +/F19 11.955 Tf 153.071 325.402 Td[(m)1(atrix)]TJ ET -1 0 0 1 193.182 300.116 cm +1 0 0 1 193.182 325.402 cm q []0 d 0 J @@ -3986,11 +4009,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -193.182 -300.116 cm +1 0 0 1 -193.182 -325.402 cm BT -/F19 11.955 Tf 197.217 300.116 Td[(dat)1(a[psb)]TJ +/F19 11.955 Tf 197.217 325.402 Td[(dat)1(a[psb)]TJ ET -1 0 0 1 247.787 300.116 cm +1 0 0 1 247.787 325.402 cm q []0 d 0 J @@ -3999,11 +4022,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -247.787 -300.116 cm +1 0 0 1 -247.787 -325.402 cm BT -/F19 11.955 Tf 251.822 300.116 Td[(n)]TJ +/F19 11.955 Tf 251.822 325.402 Td[(n)]TJ ET -1 0 0 1 260.101 300.116 cm +1 0 0 1 260.101 325.402 cm q []0 d 0 J @@ -4012,23 +4035,23 @@ q 4.035 0.199 l S Q -1 0 0 1 -260.101 -300.116 cm +1 0 0 1 -260.101 -325.402 cm BT -/F19 11.955 Tf 264.136 300.116 Td[(])]TJ +/F19 11.955 Tf 264.136 325.402 Td[(])]TJ ET -1 0 0 1 267.872 300.116 cm +1 0 0 1 267.872 325.402 cm 0 g 0 G -1 0 0 1 -267.872 -300.116 cm +1 0 0 1 -267.872 -325.402 cm BT -/F15 11.955 Tf 273.725 300.116 Td[(T)81(o)1(tal)-326(n)27(um)28(b)-28(er)-326(of)-326(v)54(a)1(ria)1(ble)-1(s)-326(\050glo)1(bal\051.)]TJ +/F15 11.955 Tf 273.725 325.402 Td[(T)81(o)1(tal)-326(n)27(um)28(b)-28(er)-326(of)-326(v)54(a)1(ria)1(ble)-1(s)-326(\050glo)1(bal\051.)]TJ ET -1 0 0 1 147.218 280.338 cm +1 0 0 1 147.218 305.624 cm 0 g 0 G -1 0 0 1 -147.218 -280.338 cm +1 0 0 1 -147.218 -305.624 cm BT -/F19 11.955 Tf 153.071 280.338 Td[(m)1(atrix)]TJ +/F19 11.955 Tf 153.071 305.624 Td[(m)1(atrix)]TJ ET -1 0 0 1 193.182 280.338 cm +1 0 0 1 193.182 305.624 cm q []0 d 0 J @@ -4037,11 +4060,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -193.182 -280.338 cm +1 0 0 1 -193.182 -305.624 cm BT -/F19 11.955 Tf 197.217 280.338 Td[(dat)1(a[psb)]TJ +/F19 11.955 Tf 197.217 305.624 Td[(dat)1(a[psb)]TJ ET -1 0 0 1 247.787 280.338 cm +1 0 0 1 247.787 305.624 cm q []0 d 0 J @@ -4050,11 +4073,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -247.787 -280.338 cm +1 0 0 1 -247.787 -305.624 cm BT -/F19 11.955 Tf 251.822 280.338 Td[(n)]TJ +/F19 11.955 Tf 251.822 305.624 Td[(n)]TJ ET -1 0 0 1 260.101 280.338 cm +1 0 0 1 260.101 305.624 cm q []0 d 0 J @@ -4063,11 +4086,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -260.101 -280.338 cm +1 0 0 1 -260.101 -305.624 cm BT -/F19 11.955 Tf 264.136 280.338 Td[(ro)31(w)]TJ +/F19 11.955 Tf 264.136 305.624 Td[(ro)31(w)]TJ ET -1 0 0 1 286.501 280.338 cm +1 0 0 1 286.501 305.624 cm q []0 d 0 J @@ -4076,23 +4099,23 @@ q 4.035 0.199 l S Q -1 0 0 1 -286.501 -280.338 cm +1 0 0 1 -286.501 -305.624 cm BT -/F19 11.955 Tf 290.535 280.338 Td[(])]TJ +/F19 11.955 Tf 290.535 305.624 Td[(])]TJ ET -1 0 0 1 294.271 280.338 cm +1 0 0 1 294.271 305.624 cm 0 g 0 G -1 0 0 1 -294.271 -280.338 cm +1 0 0 1 -294.271 -305.624 cm BT -/F15 11.955 Tf 300.124 280.338 Td[(Num)27(b)-27(er)-501(o)1(f)-501(grid)-501(v)55(ar)1(iables)-501(o)28(w)-1(ned)-501(b)28(y)-501(the)]TJ -121.3 -14.445 Td[(curren)27(t)-461(pro)-26(ce)-1(ss)-461(\050lo)-27(cal\051;)-528(equiv)54(a)1(len)27(t)-461(to)-461(the)-461(n)27(um)27(b)-27(er)-461(of)-461(lo)-27(cal)-461(ro)28(ws)]TJ 0 -14.446 Td[(in)-326(the)-327(spa)1(rs)-1(e)-326(co)-27(e\016cie)-1(n)28(t)-327(ma)1(trix)1(.)]TJ +/F15 11.955 Tf 300.124 305.624 Td[(Num)27(b)-27(er)-501(o)1(f)-501(grid)-501(v)55(ar)1(iables)-501(o)28(w)-1(ned)-501(b)28(y)-501(the)]TJ -121.3 -14.446 Td[(curren)27(t)-461(pro)-26(ce)-1(ss)-461(\050lo)-27(cal\051;)-528(equiv)54(a)1(len)27(t)-461(to)-461(the)-461(n)27(um)27(b)-27(er)-461(of)-461(lo)-27(cal)-461(ro)28(ws)]TJ 0 -14.446 Td[(in)-326(the)-327(spa)1(rs)-1(e)-326(co)-27(e\016cie)-1(n)28(t)-327(ma)1(trix)1(.)]TJ ET -1 0 0 1 147.218 231.669 cm +1 0 0 1 147.218 256.954 cm 0 g 0 G -1 0 0 1 -147.218 -231.669 cm +1 0 0 1 -147.218 -256.954 cm BT -/F19 11.955 Tf 153.071 231.669 Td[(m)1(atrix)]TJ +/F19 11.955 Tf 153.071 256.954 Td[(m)1(atrix)]TJ ET -1 0 0 1 193.182 231.669 cm +1 0 0 1 193.182 256.954 cm q []0 d 0 J @@ -4101,11 +4124,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -193.182 -231.669 cm +1 0 0 1 -193.182 -256.954 cm BT -/F19 11.955 Tf 197.217 231.669 Td[(dat)1(a[psb)]TJ +/F19 11.955 Tf 197.217 256.954 Td[(dat)1(a[psb)]TJ ET -1 0 0 1 247.787 231.669 cm +1 0 0 1 247.787 256.954 cm q []0 d 0 J @@ -4114,11 +4137,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -247.787 -231.669 cm +1 0 0 1 -247.787 -256.954 cm BT -/F19 11.955 Tf 251.822 231.669 Td[(n)]TJ +/F19 11.955 Tf 251.822 256.954 Td[(n)]TJ ET -1 0 0 1 260.101 231.669 cm +1 0 0 1 260.101 256.954 cm q []0 d 0 J @@ -4127,11 +4150,11 @@ q 4.035 0.199 l S Q -1 0 0 1 -260.101 -231.669 cm +1 0 0 1 -260.101 -256.954 cm BT -/F19 11.955 Tf 264.136 231.669 Td[(co)1(l)]TJ +/F19 11.955 Tf 264.136 256.954 Td[(co)1(l)]TJ ET -1 0 0 1 281.381 231.669 cm +1 0 0 1 281.381 256.954 cm q []0 d 0 J @@ -4140,23 +4163,23 @@ q 4.035 0.199 l S Q -1 0 0 1 -281.381 -231.669 cm +1 0 0 1 -281.381 -256.954 cm BT -/F19 11.955 Tf 285.416 231.669 Td[(])]TJ +/F19 11.955 Tf 285.416 256.954 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