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Oracle computations in parallel numerical linear algebra

1994
*
Theoretical Computer Science
*

Resta,

doi:10.1016/0304-3975(94)90102-3
fatcat:t7xkrshnkjbarehakiukyibnqe
*Oracle**computations**in**parallel**numerical**linear**algebra*, Theoretical*Computer*Science 127 (1994) 99-121. ... Using a new notion of reducibility, we investigate,*in*a model of approximate*parallel**computation*, the behaviour of several known reductions among important problems*in**linear**algebra*. ... , [2] on the relations between complexity and stability*in**algebraic**computations*). ...##
###
On Speed versus Accuracy: Some Case Studies

1996
*
Journal of Complexity
*

*parallel*time, and (3) reductions among

*computational*problems do not

*in*general constitute a practical tool for solving

*numerical*problems. ... We study the complexity of some

*computational*problems

*in*case certain stability guarantees are required. ... To

*compute*the n values p( k ) we can invoke,

*in*

*parallel*, n copies of the

*oracle*, that we assume take constant time. ...

##
###
High Performance Optimization at the Door of the Exascale
[article]

2021
*
arXiv
*
pre-print

*In*fact, we always get a fraction of the technically available

*computing*power (so-called theoretical peak), and the gap is likely to go hand-to-hand with the hardware complexity of the target system. ... interconnect for data exchanges among the

*computing*nodes. ... We get a direct impact of

*parallel*

*computing*

*in*

*numerical*optimization through the advances

*in*

*parallel*

*numerical*

*algebra*[29, 52, 49] , with some of them being implemented into effective frameworks ...

##
###
Self-Adapting Software for Numerical Linear Algebra Library Routines on Clusters
[chapter]

2003
*
Lecture Notes in Computer Science
*

It has been developed

doi:10.1007/3-540-44863-2_65
fatcat:5omrddu5ujchbo3ggpprrchwou
*in*the framework of Self-Adapting*Numerical*Software (SANS) since we believe such an approach can deliver the convenience and ease of use of existing sequential environments bundled ... with the power and versatility of highly-tuned*parallel*codes that execute on clusters. ... We wish to thank the Ohio Supercomputing Center (OSC), the*Computational*Science and Mathematics Division at Oak Ridge National Laboratory (XTORC cluster), the Center for*Computational*Sciences at Oak ...##
###
Parallel algebraic reductions among numerical problems

1991
*
Applied Mathematics Letters
*

*In*this note we consider, for a number of

*linear*

*algebra*problems, an environment allowing approximate

*computations*. ... Motivated by this question, we present here some preliminary results on

*parallel*reducibility within approximation settings which apply to a number of

*linear*

*algebra*problems. F be a field. ... INTRODUCTION The concept of resource bounded reduction has played a major role

*in*deepening the understanding on the complexity of

*computational*problems,

*in*both combinatorial and

*algebraic*settings. ...

##
###
Gate-Level Simulation of Quantum Circuits
[article]

2002
*
arXiv
*
pre-print

simulation

arXiv:quant-ph/0208003v1
fatcat:c3stjnybbvhupje6vxhadmxvpe
*in*classical VLSI design. ... However, since the work of Richard Feynman*in*the early 1980s little progress was made*in*practical quantum simulation. ... QuIDDs on the other hand present a middle-ground between real quantum*computers*and*linear**algebra*simulation*in*terms of space complexity. ...##
###
Page 256 of Mathematical Reviews Vol. , Issue 85a
[page]

1985
*
Mathematical Reviews
*

85a:68053
inclusion of data sets, and it makes it possible to obtain a high
degree of dynamic

*parallel**computation*for many applied programs encountered*in*practice.” Kolyada, S. ... Kutera, Ludék (CS-CHRL) 85a:68054 Erratum and addendum to: “*Parallel**computation*and conflicts*in*memory access” [Inform. Process. Lett. 14 (1982), no. 2, 93-96; MR 83g:68038]. Inform. Process. ...##
###
Numerical Study of the b-Ξ Flame Wrinkling Combustion Model in ORACLES Test Rig

2015
*
Journal of Aerospace Technology and Management
*

However good industrial

doi:10.5028/jatm.v7i4.527
fatcat:egpbet7etfhdrctja7y7ws64pi
*numerical*combustion models need a practical requiring,*in*this way, a balance between speed and accuracy. ... A specially challenging experiment to test this combustion model is the*ORACLES*test rig whose two independent*parallel*inlet channels consistently influence the turbulent combustion, injecting fuel and ... reactive) Backward Euler*Linear*Upwind*Algebraic*5 (reactive) Backward Euler*Linear*Upwind Transport table ...##
###
Page 1099 of Mathematical Reviews Vol. , Issue 96b
[page]

1996
*
Mathematical Reviews
*

(I-CNR-EI; Pisa)

*Oracle**computations**in**parallel**numerical**linear**algebra*. (English summary) Theoret.*Comput*. Sci. 127 (1994), no. 1, 99-121. ... The paper considers reductions between matrix problems such as*computing*the determinant, the characteristic polynomial, and the inverse and solving a system of*linear*equations with respect to*parallel*...##
###
Author Index Volume 127 (1994)

1994
*
Theoretical Computer Science
*

Wood, Balance

doi:10.1016/0304-3975(94)90050-7
fatcat:zyznrn7m4nhgfofcltok6asss4
*in*AVL trees and space cost of brother trees (Fundamenfal Study) Codenotti, B., M. Leoncini and G. Resta,*Oracle**computations**in**parallel**numerical**linear**algebra*Coquide, J.-L., M. ... Sharma, Program size restrictions*in**computational*learning Jantzen. M. and H. Petersen, Cancellation*in*context-free languages: enrichment by reduction Jeschke, C-D., see J. ...##
###
Index to Volumes 37 and 38

2004
*
Journal of symbolic computation
*

Index to Volumes 37 and 38 Volume 37 A long note on Mulders' short product, 391 A

doi:10.1016/s0747-7171(04)00109-9
fatcat:q3cckydpknhjhinygacsvlj52y
*parallel*multi-modular algorithm for*computing*Lagrange resolvents, 547 A relative van Hoeij algorithm over number fields ... using a rational transform, 377 CLAUSEN, M. and MÜLLER, M., Generating fast Fourier transforms of solvable groups, 137*Computation*of the finitistic dimension of monomial*algebras*, 537*Computing*maximal ... -J.,*Parallel**computation*of determinants of matrices with polynomial entries, 749 MARTÍNEZ-MORO, E., Regular representations of finite-dimensional separable semisimple*algebras*and Gröbner bases, 575 ...##
###
Page 1167 of Mathematical Reviews Vol. , Issue 84c
[page]

1984
*
Mathematical Reviews
*

polynomial number of

*oracle*calls*in*any*computation*is also accepted relative to A by a nondeterministic*oracle*machine that simultaneously runs*in*polynomial time and uses*linear*work space. ... Bendix [*Computational*problems*in*abstract*algebra*(Oxford, 1967), 263-297, Pergamon, Oxford, 1970; MR 41 #134] an equivalent proper (minimal) complete system. ...##
###
Page 1699 of Mathematical Reviews Vol. , Issue 86d
[page]

1986
*
Mathematical Reviews
*

Colbourn and Andrzej Proskurowski, Concurrent transmissions

*in*broadcast networks (pp. 128-136); Max Croche- more,*Linear*searching for a square*in*a word (abstract) (p. 137); Peter Dybjer, Domain*algebras*...*COMPUTER*SCIENCE 65W*Parallel**computation*See also 65006, 65041, 65049, 65134, 65168. Konovalov, A. N.; Bugrov, A. N.; Elinov, V. D. Algorithms for*parallelization*of difference problems. ...##
###
Performing Quantum Measurement in Suitably Entangled States Originates the Quantum Computation Speed Up
[article]

2000
*
arXiv
*
pre-print

Reaching state (11) with quantum

arXiv:quant-ph/9908015v2
fatcat:ba4zwkbihzchvmgwibwn65ekxm
*parallel**computation*still requires one*oracle*run. ...*linear**in*n. ...##
###
Page 3071 of Mathematical Reviews Vol. , Issue 94f
[page]

1994
*
Mathematical Reviews
*

Positive and negative

*numerations*of*algebras*. (Russian. Russian summary) Vychisl. Sistemy No. 139, Teor. Vychisl. ... Using the classes resulting by bounding resources*in*this*parallel*model, some separation results are finally obtained. ...
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