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36 Cray T3E User’s Guide
Routines Explanation
PSGETRF PCGETRF LU factorization and solution of linear general
PSGETRS PCGETRS distributed systems of linear equations
PSTRTRS PCTRTRS
PSGESV PCGESV
PSPOTRF PCPOTRF Cholesky factorization and solution of real
PSPOTRS PCPOTRS symmetric or complex Hermitian distributed
PSPOSV PCPOSV systems of linear equations
PSGEQRF PCGEQRF QR, RQ, QL, LQ, and QR with column pivoting
PSGERQF PCGERQF for general distributed matrices
PSGEQLF PCGEQLF
PSGELQF PCGELQF
PSGEQPF PCGEQPF
PSGETRI PCGETRI Inversion of general, triangular, real symmetric
PSTRTRI PCTRTRI positive definite or complex Hermitian positive
PSPOTRI PCPOTRI finite distributed matrices
PSSYTRD PCHETRD Reduction of real symmetric or complex
Hermitian matrices to tridiagonal form.
PSGEBRD PCGEBRD Reduction of general matrices to bidiagonal form
PSSYEVX PCHEEVX Eigenvalue solvers for real symmetric or
complex Hermitian distributed matrices
PSSYGVX PCHEGVX Solvers for generalized eigenvalue problem with
real symmetric or complex Hermitian
distributed matrices
INDXG2P Computes the coordinate of the processor in
the two-dimensional (2D) processor grid that
owns an entry of the distributed array
NUMROC Computes the number of local rows or columns
of the distributed array owned by a processor
Table 4.1: The ScaLAPACK routines on the Cray T3E.
In an exactly similar fashion, the subroutines for complex arithmetics
have always a C as their first letter, never a Z. Thus, you should call
CGEMV, not ZGEMV.
BLACS, PBLAS and ScaLAPACK libraries all share the same method to
distribute matrices and vectors over a processor grid. This distribution
is controlled by a vector called the descriptor. The descriptor in the
ScaLAPACK implementation in T3E used to differ from the one specified
in the manuals, but this is no longer true. Thus, with respect to the
composition of the descriptor, ScaLAPACK codes should be portable to
other machines.
- Cray T3E 1
- User’s Guide 1
- Cray T3E User’s Guide 3 3
- Contents 4
- Contents 5 5
- B Glossary 113 6
- Bibliography 118 6
- Index 120 6
- Introduction 7
- 1.2 Usage policy 8
- 1.3 Overview of the system 9
- 1.4 Programming environment 9
- 10 Cray T3E User’s Guide 10
- Chapter 1. Introduction 11 11
- 12 Cray T3E User’s Guide 12
- Using the Cray T3E at CSC 13
- 2.2 Files 14
- 2.3 Editing files 16
- 2.5 Executing in batch mode 17
- 2.6 More information 18
- The Cray T3E system 20
- 3.2 Distributed memory 21
- 3.3 Processing elements 21
- 3.4 Processor architecture 23
- 3.5 Local memory hierarchy 24
- 26 Cray T3E User’s Guide 26
- Processing Element 27
- I/O Controller 27
- Interconnection 27
- Network 27
- 3.9 File systems 28
- 3.10 Resource monitoring 29
- 30 Cray T3E User’s Guide 30
- 3.11 More information 31
- Program development 32
- 4.3.1 BLAS 34
- 4.3.2 LAPACK 34
- 4.3.3 BLACS 35
- 4.3.4 PBLAS and ScaLAPACK 35
- 4.3.5 Details 35
- 36 Cray T3E User’s Guide 36
- 4.6 More information 38
- Fortran programming 40
- 5.2 Basic usage 41
- 5.4 Compiler options 42
- 5.5 Optimization options 42
- 5.6 Optimizing for cache 44
- 5.7 Compiler directives 45
- 5.8 Fortran 90 modules 48
- 5.9 Source code preprocessing 49
- 5.10 More information 51
- C and C++ programming 52
- 6.2 The C compiler 53
- 6.3 Calling Fortran from C 54
- 6.4 C compiler options 55
- #pragma _CRI symmetric var 59
- #pragma _CRI unroll [n] 59
- 6.6 The C++ compiler 61
- 6.7 More information 61
- Interprocess communication 62
- 7.2.1 Format of the MPI calls 63
- 7.2.2 Some MPI routines 64
- 7.2.3 An example of using MPI 64
- 7.2.5 MPI data types 67
- 7.3.1 Using PVM on the T3E 68
- #include <mpp/shmem.h> 71
- INCLUDE ’mpp/shmem.fh’ 71
- 7.4.2 Data addresses 72
- 7.4.4 Reduction routines 74
- 7.4.6 Example of using SHMEM 76
- 78 Cray T3E User’s Guide 78
- 0:c= 10121416 78
- 1:c= 2468 78
- 80 Cray T3E User’s Guide 80
- Batch queuing system 81
- 82 Cray T3E User’s Guide 82
- # QSUB -l p_mpp_t=7000 82
- 8.3 Status of the NQE job 83
- 84 Cray T3E User’s Guide 84
- 8.4 Deleting an NQE batch job 86
- 8.5 Queues 86
- 8.6 More information 87
- Programming tools 88
- 9.2 Program Browser 89
- 9.3 Debugging programs 92
- 9.3.2 Examining core files 93
- 94 Cray T3E User’s Guide 94
- 9.4.1 MPP Apprentice 95
- 9.4.2 The appview command 98
- 9.4.3 PAT 98
- 9.5.1 The VAMPIRtrace library 100
- 102
- 9.5.3 More information 103
- Miscellaneous notes 104
- 10.1.3 The CPU clock timer 105
- 10.1.4 Example of timing 106
- 108 Cray T3E User’s Guide 108
- 10.4 More information 110
- About CSC 111
- 112 Cray T3E User’s Guide 112
- Glossary 113
- 114 Cray T3E User’s Guide 114
- Appendix B. Glossary 115 115
- Metacomputer Environment 116
- Bibliography 118
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