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Index

absolute error , gif , gif
absolute gap , gif , gif
accuracy , gif
accuracy
high , gif , gif , gif
Active Messages
algorithmic
coherence
reliability , gif , gif
repeatability
algorithms, block-partitioned , gif
alignment restrictions
AM-II, see Active Messages
angle between vectors and subspaces , gif , gif , gif , gif , gif , gif , gif , gif
arguments
BERR
description conventions , gif , gif , gif
descriptor , gif , gif , gif , gif , gif
DIAG , gif
dimensions
FERR , gif
global
global column index , gif , gif , gif
global input
global output
global row index , gif , gif , gif
IA and JA , gif
INFO , gif , gif
local
local input
local output
LWORK
options
order of
RCOND
SIDE
TRANS
UPLO
work space
ARPACK
array argument descriptions
block cyclic arrays
block-column and block-row arrays
array descriptor , gif , gif , gif , gif , gif , gif
array descriptor
block , gif , gif
block cyclic
CTXT_
definition of
DLEN_
DTYPE_ , gif
example
LLD_
M_ and N_ , gif
MB_ and NB_ , gif
out-of-core
RSRC_ and CSRC_
auxiliary routines , gif
auxiliary routines, index of: see Appendix A
avoiding poor performance
backward error , gif , gif , gif , gif , gif , gif
backward stability , gif , gif
backward stability
componentwise
normwise
band matrix, distribution of
bandwidth
Berkeley NOW
bidiagonal form , gif , gif
bidiagonal matrix, distribution of
BLACS , gif
BLACS
BLACS_ABORT , gif
BLACS_BARRIER
BLACS_EXIT
BLACS_GRIDEXIT , gif
BLACS_GRIDINFO
BLACS_GRIDINIT
BLACS_SET , gif , gif
C interface
context
context handle
efficiency , gif
Fortran 77 interface
prebuilt libraries, availability of
quick reference guide: see Appendix D
BLAS , gif , gif , gif
BLAS
Level 1
Level 2
Level 3
block-column distribution , gif , gif
block-partitioned algorithms , gif , gif , gif
block-row distribution , gif , gif
block cyclic distribution , gif
blocking factor, see block size
block size , gif
block size
size of , gif
bug reports
bug reports
checklist
bug reports
mailing alias
Ctex2html_wrap_inline12068
Ctex2html_wrap_inline12072
Ctex2html_wrap_inline12076
Ctex2html_wrap_inline12068
Ctex2html_wrap_inline12076
Ctex2html_wrap_inline12072
CAPSS
checklist, high performance
chordal distance
cluster
eigenvalues
singular values
clusters of workstations
coefficient band matrix
coefficient matrix , gif , gif , gif , gif
coefficient matrix
distribution of , gif , gif
coefficient tridiagonal matrix , gif
coherence , gif , gif
column-major order
column pivoting (QR)
commercial use
communication bandwidth
communication deadlock
communication latency
communicator, MPI
complete orthogonal factorization
computational routines , gif , gif
Computational Routines, index of: see Appendix A
computers, see distributed memory computers
condensed form, reduction to
condition number , gif , gif , gif , gif , gif , gif , gif , gif , gif , gif
condition number
estimate , gif
context, BLACS
context handle
coprocessor
CoWs , gif
CSRC_, see array descriptor
CTXT_, see array descriptor
data distribution
data distribution
block
block cyclic , gif
block-column , gif , gif
block-row , gif , gif
general band matrix , gif
general tridiagonal matrix , gif
symmetric band matrix
symmetric positive definite band matrix
symmetric positive definite tridiagonal matrix
symmetric tridiagonal matrix
DDISNA , gif
deadlock
debugging
alignment restrictions
errata.blacs , gif
errata.scalapack , gif
INFO > 0
INFO < 0
INFO < 0
INFO > 0
synchronization points
TOOLS
workspace requirements
debugging hints
application
installation
debug level BLACS
decomposition, see data distribution
DESC_, see array descriptor
descriptor , gif , gif , gif , gif , gif
descriptor, see array descriptor
determining the size of local arrays , gif , gif
diagonally dominant-like , gif , gif , gif
distributed across process columns
distributed across process rows
distributed matrix
distributed matrix, partitioning of
distributed memory , gif , gif , gif , gif , gif
distributed memory computers , gif
distributed memory standards
distributed vector
distribution, see data distribution
DLEN_, see array descriptor
documentation
documentation
installation guide , gif
documentation, structure
downloading instructions
driver routine
generalized symmetric definite eigenvalue problem
linear equations
linear least squares
SVD
driver routine, symmetric eigenvalue problem
driver routines , gif , gif
driver routines
expert , gif
simple , gif
driver routines, index of: see Appendix A
DSTEQR2
DTYPE_, see array descriptor
E() , gif
effective rank
efficiency
efficiency
BLACS
BLAS
block-partitioned algorithms
efficiency, transportable
eigendecomposition
blocked form
symmetric
eigenvalue , gif , gif , gif , gif , gif
eigenvalue
error bound , gif , gif , gif , gif , gif
GSEP
SEP
eigenvalue problem
generalized symmetric
generalized symmetric/Hermitian
eigenvalue problem,symmetric/Hermitian
eigenvalue problems
large scale
large sparse
nonsymmetric
eigenvalue problems, symmetric/Hermitian
eigenvector , gif , gif
eigenvector
error bound , gif , gif , gif , gif , gif
GSEP , gif
left
right
SEP
elementary Householder matrix, see Householder matrix , gif , gif , gif , gif , gif
elementary reflector, see Householder matrix , gif , gif , gif , gif
equilibration , gif
errata
BLACS
ScaLAPACK and PBLAS
error
absolute , gif , gif
analysis
backward , gif , gif , gif , gif , gif , gif
measurement of
measurement of
matrix , gif
scalar , gif
subspace , gif
vector , gif
relative , gif , gif , gif , gif , gif , gif , gif
error bounds
generalized symmetric definite eigenproblem , gif
linear equations , gif
linear least squares , gif
singular value decomposition , gif
symmetric eigenproblem , gif
error handler, BLACS
error handler, PBLAS , gif
error handler, PXERBLA , gif
example program
how to execute
HPF
output, using MPICH
output, using PVM
ScaLAPACK (PDGESV) , gif
expert driver
expert driver, see driver routines, expert , gif
External Data Representation (XDR)
Ftex2html_wrap_inline12090
Ftex2html_wrap_inline12090
factorizations, see matrix factorizations
failures
failures
common causes
error handling
INFO
FDDI
Fiber Distributed Data Interface (FDDI)
floating-point arithmetic
floating-point arithmetic
tex2html_wrap_inline17191
gradual underflow
infinity
NaN
Not-a-Number
overflow , gif , gif , gif , gif , gif , gif , gif , gif , gif
relative machine precision , gif
roundoff error
subnormal numbers
underflow , gif , gif , gif
floating-point arithmetic, IEEE standard , gif , gif , gif , gif , gif
flop counts, for ScaLAPACK drivers
forward error
forward stability , gif
functionality
gang scheduler,
gap , gif , gif
generalized eigenproblem, symmetric definite
generalized orthogonal factorization
global
global
matrix
software components
variables , gif
global column index (JA)
global column index (JA) , gif
global input
globally blocking receive
global output
global row index (IA) , gif , gif
glossary
GQR , gif , gif , gif
granularity, of computation , gif , gif , gif
grid, see process grid
GRQ , gif
GSEP
guidelines, for high performance
Hermitian eigenvalue problem, see eigenvalue problems
Hessenberg form
Hessenberg form
reduction to
upper
heterogeneity
heterogeneous environment
heterogeneous network
heterogeneous software issues
algorithmic integrity , gif
machine parameters (PxLAMCH)
hierarchical memory , gif , gif
homepage
BLACS
MPI
netlib
PBLAS
PVM
ScaLAPACK , gif
homogeneous network
Householder matrix , gif
Householder matrix
complex
Householder transformation - blocked form
Householder vector
HPF
DISTRIBUTE , gif , gif , gif , gif , gif , gif , gif , gif , gif
example program
interface LA_GELS
interface LA_GEMM
interface LA_GESV
interface LA_POSV
interface to ScaLAPACK , gif
LA_GELS
LA_GEMM
LA_GESV
LA_POSV
PROCESSORS
ICTXT
ICTXT, see BLACS
ill-conditioned
ill-posed
incoherence
infinity
INFO
input error
installation
installation
PxLAMCH
insufficient workspace
invariant subspaces
error bound
inverse iteration
inverting matrix, using factorization
isoefficiency
isogranularity
iterative refinement
LAPACK
latency , gif
layout, see data distribution
lcm(Ptex2html_wrap_inline12112,Ptex2html_wrap_inline12114)
LDLtex2html_wrap_inline13041 factorization
leading dimension, see local array
linear equations
linear least squares problem
linear least squares problem
linear least squares problem , gif , gif
linear least squares problem
full rank
overdetermined , gif
rank-deficient , gif , gif
underdetermined
linear systems, solution of , gif
LLD_, see array descriptor
LLS , gif
load balance
LOCtex2html_wrap_inline12114()
LOCtex2html_wrap_inline12112()
LOCtex2html_wrap_inline12112()
LOCtex2html_wrap_inline12114()
LOCtex2html_wrap_inline12114()
LOCtex2html_wrap_inline12112()
local
local
software components
variables , gif
local array
local array
determining the size of , gif , gif
local leading dimension
local input
locally blocking send
local output
LQ factorization
LU factorization
LU factorization
matrix types
LWORK
LWORK tex2html_wrap_inline14966 WORK(1)
LWORK query
M_, see array descriptor
machine precision , gif
matrix factorizations
Cholesky , gif
complete orthogonal
generalized orthogonal
generalized QR , gif
generalized RQ
LDLtex2html_wrap_inline13041
LQ , gif
LU
orthogonal , gif
QL
QR , gif , gif
RQ
matrix inversion , gif
matrix of right-hand-side vectors
matrix of solution vectors
matrix partitioning
matrix sign function
MB_, see array descriptor
memory hierarchy , gif , gif
message-passing libraries
MPI , gif
MPL , gif
NX , gif
PVM , gif
message coprocessor
message passing, see distributed memory
MIMD , gif
minimum norm least squares solution
minimum norm solution
minimum norm solution , gif , gif
MPI , gif , gif , gif , gif
MPI
communicator
homepage
reference implementation (MPICH)
MPICH
MPL , gif
Multiple Instruction Multiple Data (MIMD)
Multiple Instruction Multiple Data (MIMD)
MYCOL , gif , gif
MYROW , gif , gif
N_, see array descriptor
naming scheme
naming scheme
auxiliary
driver and computational
NaN
NB_, see array descriptor
NBRHS
netlib
netlib
homepage
mirror repositories
networks of workstations
nonrepeatability
nonsymmetric eigenproblem
norm
Frobenius norm
matrix
two norm
vector
Not-a-Number
notation, table of
NoWs , gif
NPCOL, see Ptex2html_wrap_inline12114
NPROCS, see P
NPROW, see Ptex2html_wrap_inline12112
NRHS
numerical error, sources of
numerical error, sources of
input error
roundoff error , gif
NX , gif
optimal block size, determination of
orthogonal (unitary) factorizations , gif
orthogonal (unitary) transformation , gif
orthogonal factorization, generalized
orthogonal matrix , gif
out-of-core linear solvers
overdetermined system , gif , gif
overflow , gif , gif , gif , gif , gif , gif , gif , gif
P , gif , gif
Ptex2html_wrap_inline12114
Ptex2html_wrap_inline12112
Ptex2html_wrap_inline12114
Ptex2html_wrap_inline12112
P_ARPACK
parallel efficiency , gif
parallelizing BLAS-based programs: see Appendix B
parallelizing LAPACK-based programs: see Appendix B
ParPre
partial pivoting
partitioning unit, see block size , gif
PBLAS , gif
PBLAS
converting from the BLAS to: see Appendix B
error handling
PDGEMM
PDGEMV
PSGEMM
PSGEMV
quick reference guide: see Appendix D
PCDBSV
PCDBTRF , gif , gif
PCDBTRS , gif
PCDTSV
PCDTTRF , gif , gif
PCDTTRS , gif
PCGBSV
PCGBTRF , gif , gif
PCGBTRS , gif
PCGEBRD
PCGECON , gif
PCGEEQU
PCGEHRD
PCGELQF , gif
PCGELS , gif , gif
PCGEMR2D
PCGEQLF
PCGEQPF
PCGEQRF , gif , gif
PCGERFS , gif
PCGERQF
PCGESVD , gif , gif , gif
PCGESVX , gif , gif
PCGETRF
PCGETRI
PCGETRS
PCGGQRF
PCGGRQF
PCHEEVX , gif , gif , gif
PCHEGST
PCHEGVX , gif , gif , gif , gif
PCHETRD
PCHETRF
PCHETRS
PCPBSV
PCPBTRF , gif , gif
PCPBTRS , gif
PCPOCON , gif , gif
PCPOEQU
PCPORFS , gif
PCPOSV , gif
PCPOSVX , gif
PCPOTRF
PCPOTRI
PCPOTRS
PCPTSV
PCPTTRF
PCPTTRS
PCSTEIN , gif
PCTRCON , gif , gif
PCTRMR2D
PCTRRFS , gif
PCTRTRI
PCTRTRS , gif , gif
PCTZRZF
PCUNGLQ
PCUNGQR , gif
PCUNMBR
PCUNMHR
PCUNMLQ
PCUNMQR , gif , gif , gif
PCUNMRZ
PCUNMTR
PDDBSV
PDDBTRF , gif , gif
PDDBTRS , gif
PDDTSV
PDDTTRF , gif , gif
PDDTTRS , gif
PDGBSV
PDGBTRF , gif , gif
PDGBTRS , gif
PDGEBRD , gif
PDGECON , gif
PDGEEQU
PDGEHRD , gif
PDGELQF , gif
PDGELS , gif , gif , gif
PDGEMR2D
PDGEQLF
PDGEQPF
PDGEQRF , gif , gif
PDGERFS , gif
PDGERQF
PDGESV , gif
PDGESVD , gif , gif , gif , gif , gif , gif
PDGESVX , gif , gif , gif
PDGETRF
PDGETRI
PDGETRS
PDGGQRF
PDGGRQF
PDLAHQR , gif
PDLAMCH , gif
PDORGLQ
PDORGQR , gif
PDORMBR , gif
PDORMHR
PDORMLQ , gif
PDORMQR , gif , gif , gif
PDORMRZ
PDORMTR
PDPBSV
PDPBTRF , gif , gif
PDPBTRS , gif
PDPOCON , gif , gif
PDPOEQU
PDPORFS , gif
PDPOSV , gif , gif
PDPOSVX , gif
PDPOTRF
PDPOTRI
PDPOTRS
PDPTSV
PDPTTRF
PDPTTRS
PDSTEBZ , gif
PDSTEIN , gif
PDSYEV , gif , gif , gif , gif
PDSYEVX , gif , gif , gif , gif , gif , gif
PDSYGST
PDSYGVX , gif , gif , gif , gif
PDSYR2K
PDSYTRD , gif
PDTRCON , gif , gif
PDTRMR2D
PDTRRFS , gif
PDTRTRI
PDTRTRS , gif , gif
PDTZRZF
peak performance
performance , gif , gif
performance
diagnosing poor
evaluation of
improvement guidelines
PDLAHQR
PSGELS/PDGELS
PSGEMM/PDGEMM
PSGEMV/PDGEMV
PSGESV/PDGESV
PSGESVD/PDGESVD
PSPOSV/PDPOSV
PSSYEV/PDSYEV
PSSYEVX/PDSYEVX
recommendations
tuning
performance guidelines
PETSc
PIGEMR2D
PITRMR2D
pivoting
column (QR)
partial
poor performance
PoPCs
portability , gif , gif , gif , gif
prebuilt libraries
blacs
scalapack
process
column coordinate (MYCOL)
row coordinate (MYROW)
process column
process grid , gif
process grid
initialization , gif
mapping (column-major) , gif
mapping (row-major) , gif
mapping (user-defined) , gif
obtaining BLACS context
Ptex2html_wrap_inline12112
Ptex2html_wrap_inline12114
shape , gif
process mesh, see process grid
processor
process row
prototype codes
prototype codes
HPF interface to ScaLAPACK
prototype codes
matrix sign function , gif
out-of-core linear solvers
SuperLU
PSDBSV
PSDBTRF , gif , gif
PSDBTRS , gif
PSDTSV
PSDTTRF , gif , gif
PSDTTRS , gif
PSGBSV
PSGBTRF , gif , gif
PSGBTRS , gif
PSGEBRD , gif
PSGECON , gif
PSGEEQU
PSGEHRD , gif
PSGELQF , gif
PSGELS , gif , gif , gif
PSGEMR2D
PSGEQLF
PSGEQPF
PSGEQRF , gif , gif
PSGERFS , gif
PSGERQF
PSGESV , gif , gif
PSGESVD , gif , gif , gif , gif , gif , gif
PSGESVX , gif , gif , gif , gif , gif
PSGETRF
PSGETRI
PSGETRS
PSGGQRF
PSGGRQF
PSLAHQR , gif
PSLAMCH , gif
PSORGLQ
PSORGQR , gif
PSORMBR , gif
PSORMHR
PSORMLQ , gif
PSORMQR , gif , gif , gif
PSORMRZ
PSORMTR
PSPBSV
PSPBTRF , gif , gif
PSPBTRS , gif
PSPOCON , gif , gif
PSPOEQU
PSPORFS , gif
PSPOSV , gif , gif
PSPOSVX , gif
PSPOTRF
PSPOTRI
PSPOTRS
PSPTSV
PSPTTRF
PSPTTRS
PSSTEBZ , gif
PSSTEIN , gif
PSSYEV , gif , gif , gif , gif
PSSYEVX , gif , gif , gif , gif , gif , gif
PSSYGST
PSSYGVX , gif , gif , gif , gif
PSSYR2K
PSSYTRD , gif
PSTRCON , gif , gif
PSTRMR2D
PSTRRFS , gif
PSTRTRI
PSTRTRS , gif , gif
PSTZRZF
PVM , gif , gif , gif
PVM
homepage
PXERBLA , gif , gif
PZDBSV
PZDBTRF , gif , gif
PZDBTRS , gif
PZDTSV
PZDTTRF , gif , gif
PZDTTRS , gif
PZGBSV
PZGBTRF , gif , gif
PZGBTRS , gif
PZGEBRD
PZGECON , gif
PZGEEQU
PZGEHRD
PZGELQF , gif
PZGELS , gif , gif
PZGEMR2D
PZGEQLF
PZGEQPF
PZGEQRF , gif , gif
PZGERFS , gif
PZGERQF
PZGESVD , gif , gif , gif
PZGESVX , gif , gif
PZGETRF
PZGETRI
PZGETRS
PZGGQRF
PZGGRQF
PZHEEVX , gif , gif , gif
PZHEGST
PZHEGVX , gif , gif , gif , gif
PZHETRD
PZHETRF
PZHETRS
PZPBSV
PZPBTRF , gif , gif
PZPBTRS , gif
PZPOCON , gif , gif
PZPOEQU
PZPORFS , gif
PZPOSV , gif
PZPOSVX , gif
PZPOTRF
PZPOTRI
PZPOTRS
PZPTSV
PZPTTRF
PZPTTRS
PZSTEIN , gif
PZTRCON , gif , gif
PZTRMR2D
PZTRRFS , gif
PZTRTRI
PZTRTRS , gif , gif
PZTZRZF
PZUNGLQ
PZUNGQR , gif
PZUNMBR
PZUNMHR
PZUNMLQ
PZUNMQR , gif , gif , gif
PZUNMRZ
PZUNMTR
QL algorithm
implicit
QL factorization
QR algorithm
implicit
QR factorization , gif
QR factorization
blocked form
generalized (GQR) , gif
with pivoting , gif
query
quick reference guides: see Appendix D
rank
rank-deficient, see linear least squares problem
redistribution routines
PxGEMR2D
PxTRMR2D
reduction
bidiagonal
standard form
tridiagonal
upper Hessenberg
relative error , gif , gif , gif , gif , gif , gif , gif
relative machine precision
reliability, see test suites , gif
repeatability , gif
repeatability
enforcement of (BLACS_SET)
replicated across process columns
replicated across process rows
replicated and distributed
replicated vector , gif
reporting bugs, see bug reports , gif
right-hand-side matrix
roundoff error , gif
RQ factorization
RQ factorization
generalized (GRQ) , gif
RSRC_, see array descriptor
rule of thumb
scalability , gif , gif , gif
ScaLAPACK
commercial use of
converting from LAPACK to: see Appendix B
prebuilt libraries, availability of
quick reference guide: see Appendix D
scaling
Schur factorization
Schur form
Schur vectors
scope , gif
scope
groupings of processes
in communication
of a variable
within a process grid
scoped operation
SDISNA , gif
SEP , gif
simple driver, see driver routines, simple , gif
Single Program Multiple Data (SPMD)
singular value
singular value decomposition (SVD)
singular value decomposition (SVD)
singular value
error bound , gif
singular vector
error bound , gif
singular vectors
left , gif
right , gif
software hierarchy
software standards
software standards
distributed memory
solution matrix
spectral factorization
SPMD
SSTEQR2
stability , gif
stability
backward , gif , gif , gif , gif
forward
standard form
storage scheme
general tridiagonal
Hermitian , gif
orthogonal or unitary matrices
symmetric
symmetric tridiagonal
triangular
submatrix access
subspaces
angle between
subspaces, angle between , gif , gif , gif , gif , gif , gif , gif
suggestions for reading
SuperLU, see prototype codes
support
SVD
Sylvester equation
symmetric eigenproblem
T() , gif
Ttex2html_wrap_inline12200()
ttex2html_wrap_inline12068
ttex2html_wrap_inline12072
ttex2html_wrap_inline12218
ttex2html_wrap_inline12226
ttex2html_wrap_inline12076
Ttex2html_wrap_inline16302
ttex2html_wrap_inline12068
ttex2html_wrap_inline12072, see latency
ttex2html_wrap_inline12076
ttex2html_wrap_inline12072
ttex2html_wrap_inline12076
terminology
test suites , gif , gif , gif , gif , gif , gif , gif , gif , gif
thread of execution, see process
throughput, see bandwidth
TOOLS
DESCINIT
NUMROC
PxLAPRNT
SL_INIT
transportable efficiency
tridiagonal form , gif , gif , gif , gif , gif
tridiagonal matrix, distribution of
troubleshooting
tuning
underdetermined system , gif , gif
underflow , gif , gif , gif
unitary matrix , gif
upper Hessenberg form
utility routines
workspace query
World Wide Web
wrong results
WWW
XDR



Susan Blackford
Tue May 13 09:21:01 EDT 1997