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261998
Practical Algorithms for Selection on Coarse-Grained Parallel Computers.
AbstractIn this paper, we consider the problem of selection on coarse-grained distributed memory parallel computers. We discuss several deterministic and randomized algorithms for parallel selection. We also consider several algorithms for load balancing needed to keep a balanced distribution of data across processors ...
better in practice than its deterministic counterpart due to the low constant associated with the algorithm. Parallel selection algorithms are useful in such practical applications as dynamic distribution of multidimensional data sets, parallel graph partitioning and parallel construction of multidimensional binary sea...
parallel algorithms;selection;parallel computers;coarse-grained;median finding;randomized algorithms;load balancing;meshes;hypercubes
262003
Parallel Incremental Graph Partitioning.
AbstractPartitioning graphs into equally large groups of nodes while minimizing the number of edges between different groups is an extremely important problem in parallel computing. For instance, efficiently parallelizing several scientific and engineering applications requires the partitioning of data or tasks among p...
Introduction Graph partitioning is a well-known problem for which fast solutions are extremely important in parallel computing and in research areas such as circuit partitioning for VLSI design. For instance, parallelization of many scientific and engineering problems requires partitioning data among the processors in ...
remapping;mapping;refinement;parallel;linear-programming
262369
Computing Accumulated Delays in Real-time Systems.
We present a verification algorithm for duration properties of real-time systems. While simple real-time properties constrain the total elapsed time between events, duration properties constrain the accumulated satisfaction time of state predicates. We formalize the concept of durations by introducing duration measures...
Introduction Over the past decade, model checking [CE81, QS81] has emerged as a powerful tool for the automatic verification of finite-state systems. Recently the model-checking paradigm has been extended to real-time systems [ACD93, HNSY94, AFH96]. Thus, given the description of a finite-state system together with its...
real-time systems;duration properties;formal verification;model checking
262521
Compile-Time Scheduling of Dynamic Constructs in Dataflow Program Graphs.
AbstractScheduling dataflow graphs onto processors consists of assigning actors to processors, ordering their execution within the processors, and specifying their firing time. While all scheduling decisions can be made at runtime, the overhead is excessive for most real systems. To reduce this overhead, compile-time d...
Introduction A D ataflow graph representation, either as a programming language or as an intermediate representation during compilation, is suitable for programming multiprocessors because parallelism can be extracted automatically from the representation [1], [2] Each node, or actor, in a dataflow graph represents eit...
macro actor;dynamic constructs;dataflow program graphs;profile;multiprocessor scheduling
262549
Singular and Plural Nondeterministic Parameters.
"The article defines algebraic semantics of singular (call-time-choice) and plural (run-time-choice)(...TRUNCATED)
"Introduction\nThe notion of nondeterminism arises naturally in describing concurrent systems. Vario(...TRUNCATED)
many-sorted algebra;sequent calculus;nondeterminism;algebraic specification
262588
"Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value (...TRUNCATED)
"We consider mixed finite element discretizations of linear second-order elliptic boundary value pro(...TRUNCATED)
"Introduction\n.\nIn this work, we are concerned with adaptive multilevel techniques for the efficie(...TRUNCATED)
mixed finite elements;multilevel preconditioned CG iterations;a posteriori error estimator
262640
Decomposition of Gray-Scale Morphological Templates Using the Rank Method.
"AbstractConvolutions are a fundamental tool in image processing. Classical examples of two dimensio(...TRUNCATED)
"INTRODUCTION\nOTH linear convolution and morphological methods are\nwidely used in image processing(...TRUNCATED)
"structuring element;morphology;morphological template;template rank;convolution;template decomposit(...TRUNCATED)
263203
The Matrix Sign Function Method and the Computation of Invariant Subspaces.
"A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix (...TRUNCATED)
"Introduction\n. If A 2 R n\\Thetan has no eigenvalue on the imaginary axis, then the\nmatrix sign f(...TRUNCATED)
matrix sign function;invariant subspaces;perturbation theory
263207
An Analysis of Spectral Envelope Reduction via Quadratic Assignment Problems.
"A new spectral algorithm for reordering a sparse symmetric matrix to reduce its envelope size was d(...TRUNCATED)
"Introduction\n. We provide a raison d'-etre for a novel spectral algorithm to reduce\nthe envelope (...TRUNCATED)
"sparse matrices;quadratic assignment problems;reordering algorithms;2-sum problem;envelope reductio(...TRUNCATED)
263210
Perturbation Analyses for the QR Factorization.
"This paper gives perturbation analyses for $Q_1$ and $R$ in the QR factorization $A=Q_1R$, $Q_1^TQ_(...TRUNCATED)
"Introduction\n. The QR factorization is an important tool in matrix computations\n(see for example (...TRUNCATED)
matrix equations;pivoting;condition estimation;QR factorization;perturbation analysis
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