LINPACK Users' Guide

Dongarra, Jack; Moler, Cleve B.; Bunch, James R.; Stewart, G. W.

doi:10.1137/1.9781611971811

Cited by 1,524 publications

(321 citation statements)

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“…Ironically, MATLAB and its Simulink toolbox were built on the original EISPACK [53] and LINPACK [54] open-source libraries. EISPACK AND LINPACK, developed as Fortran libraries to implement eigensystem and linear algebra routines and originating from the Argonne National Laboratory, aimed to be portable, robust and reliable.…”

Section: Discussionmentioning

confidence: 99%

Graphical simulation environments for modelling and simulation of integrative physiology

Mangourova

Ringwood

Vliet

2011

Computer Methods and Programs in Biomedicine

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c o m p u t e r m e t h o d s a n d p r o g r a m s i n b i o m e d i c i n e 1 0 2 ( 2 0 1 1 ) [295][296][297][298][299][300][301][302][303][304] j o u r n a l h o m e p a g e : w w w . i n t l . e l s e v i e r h e a l t h . IntroductionAt the time of its conception (1972), the integrated physiology model developed by Guyton [1] was a breakthrough in many respects:(1) It assembled the available knowledge on the dynamics of the body's circulatory components and how they interacted with each other, (2) It presented a diagrammatic form, which allowed the totality of the model to be viewed and interactions examined, and (3) The model was specified using the basic components of integrators, summers and (sometimes nonlinear) gains, the fundamental building blocks of analogue computers, facilitating computation. * Corresponding author. Tel.: +353 879886557.E-mail address: violeta.i.mangourova@nuim.ie (V. Mangourova).Clearly, the longevity of this model is testament to its quality and usefulness. Unfortunately, developments in integrative physiological modelling have not kept pace with further discoveries in physiological science and developments in computing. In particular, the absence of an agreed computing platform, which can serve current teaching and research purposes, and be added to and updated by the physiology community at large, is disappointing. Recently, a number of large-scale initiatives have emerged, such as the IUPS (International Union of Physiological Sciences) Physiome Project [2], which attempt to directly address this issue. However, there is the issue of the universal adoption of a single standard in a situation where a number of competing standards exist and the associated question as to whether a single computing platform can cater for needs at all levels of detail and timescale. Furthermore, in the multi-disciplinary world of physiological modelling, where mathematicians, engineers, scientists 0169-2607/$ -see front matter

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Section: Discussionmentioning

confidence: 99%

Graphical simulation environments for modelling and simulation of integrative physiology

Mangourova

Ringwood

Vliet

2011

Computer Methods and Programs in Biomedicine

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“…The networks currently simulated by IRMA generate unstructured matrices containing up to 15.000 elements and the iterative nature of the simulation requires solving linear systems up to thousands of times for each execution. Therefore, the performance of the linear solving library has a crucial impact on the total simulation runtime.…”

Section: Linear Algebra Librariesmentioning

confidence: 99%

Parallel profiling of water distribution networks using the Clément formula

Pezzi

Vaissié

Viala

et al. 2015

Applied Mathematics and Computation

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Optimization of water distribution is a crucial issue which has been targeted by many modelling tools. Useful models, implemented several decades ago, need to be updated and implemented in more powerful computing environments. This paper presents the distributed and redesigned version of a legacy hydraulic simulation software written in Fortran (IRMA) that has been used for over 30 years by the Société du Canal de Provence in order to design and to maintain water distribution networks. IRMA was developed aiming mainly at the treatment of irrigation networks -by using the Clément demand model and is now used to manage more than 6.000 km of piped networks. The growing complexity and size of networks requested to redesign the code by using modern tools and language (Java) and also to run distributed simulations by using the ProActive Parallel Suite.

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“…The program was written in Intel Fortran using its communication library. Some Linpack [8] and BLAS [7] Fortran source codes were …”

Section: C(y(b))dis = B(a)( '(B)')mentioning

confidence: 99%

“…Each processor operates only on its own blocks of (A, B) and , 8 (k) most of the time. All processors solve identical subproblems and communicate the same amount of data at each step of the computation.…”

Section: Remarks and Conclusionmentioning

confidence: 99%

Using parallel banded linear system solvers in generalized eigenvalue problems

Zhang

Moss

1994

Parallel Computing

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Subspace iteration is a reliable and cost effective method for solving positive definite banded symmetric generalized eigenproblems, especially in the case of large scale problems. This paper discusses an algorithm that makes use of two parallel banded solvers in subspace iteration. A shift is introduced to decompose the banded linear systems into relatively independent subsystems and to accelerate the iterations. With this shift, an eigenproblem is mapped efficiently into the memories of a multiprocessor and a high speed-up is obtained for parallel implementations. An optimal shift is a shift that balances total computation and communication costs. Under certain conditions, we show how to estimate an optimal shift analytically using the decay rate for the inverse of a banded matrix, and how to improve this estimate. Computational results on iPSC/2 and iPSC/860 i,,ultipr Acessors art prcstnt.W Accesion For NTIS CRA&MDTIC TAB 1Unannounced [

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LINPACK Users' Guide

Cited by 1,524 publications

References 0 publications

Graphical simulation environments for modelling and simulation of integrative physiology

Graphical simulation environments for modelling and simulation of integrative physiology

Parallel profiling of water distribution networks using the Clément formula

Using parallel banded linear system solvers in generalized eigenvalue problems

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