A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
A robust and efficient proposal for solving linear systems arising in interior-point methods for linear programming

2013
*
Computational optimization and applications
*

*The*computational burden

*of*primal-dual interior point

*methods*

*for*

*linear*programming relies on

*the*computation

*of*

*the*search

*direction*by solving one or more

*linear*

*systems*per iterations. ...

*The*objective

*of*this work is to study an efficient and robust way

*of*solving these

*systems*

*for*

*large*-scale

*sparse*problems. ... We present

*a*way

*of*solving

*the*stable

*system*that it is competitive, in terms

*of*running time, with

*the*traditional normal

*equations*approach

*for*some

*large*,

*sparse*

*linear*programming problems. ...

##
###
Page 1730 of Mathematical Reviews Vol. 48, Issue 5
[page]

1974
*
Mathematical Reviews
*

Reid, On

*the**method**of*conjugate gradients*for**the**solution**of**large**sparse**systems**of**linear**equations*(pp. 231-254); Ralph*A*. ... Tuff,*A**direct**method**for**the**solution**of**large**sparse*symmetric simul- taneous*equations*(pp. 97-104); R. Baumann,*Sparseness*in power*systems**equations*(pp. 105-125); M. E. ...##
###
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
[chapter]

2006
*
Lecture Notes in Computer Science
*

We discuss

doi:10.1007/11823285_74
fatcat:r3ol5ekygvb6dky3eajpzsknnm
*a*parallel algorithm*for**the**solution**of**large*-scale generalized algebraic Riccati*equations*with dimension up to O(10 5 ). ... We survey*the*numerical algorithms underlying*the*implementation*of**the**method*, in particular,*a*Newton-type iterative solver*for**the*generalized Riccati*equation*and an LR-ADI solver*for**the*generalized ... Quintana-Ortí were supported by*the*CICYT project TIN2005-09037-C02-02 and FEDER, and project No. P1B-2004-6*of**the*Fundación Caixa-Castellón/Bancaixa and UJI. ...##
###
Page 1004 of Mathematical Reviews Vol. , Issue 93b
[page]

1993
*
Mathematical Reviews
*

*methods*

*for*

*sparse*matrices and their use in

*the*numerical

*solution*

*of*

*large*

*linear*least squares problems. ...

*The*author proposes

*a*universal algorithm called

*the*

*directional*perturbation least squares (DPLS) algorithm, which can give op- timal

*solutions*

*of*an overdetermined

*system*

*of*

*linear*

*equations*in L2,Lo0 ...

##
###
Solving Large Sparse Lyapunov Equations on Parallel Computers
[chapter]

2002
*
Lecture Notes in Computer Science
*

This paper describes

doi:10.1007/3-540-45706-2_95
fatcat:vyzazexoqzcqpgjggida7a2msu
*the*parallelization*of**the*low-rank ADI iteration*for**the**solution**of**large*-scale,*sparse*Lyapunov*equations*. ...*The*only relevant operations involved in*the**method*are matrix-vector products and*the**solution**of**linear**systems*. ...*The*algorithm benefits from*the*availability and efficiency*of*parallel kernels*for**the*matrixvector product and*the**solution**of**sparse**linear**systems*using*direct**methods*. ...##
###
Page 2102 of Mathematical Reviews Vol. , Issue 83e
[page]

1983
*
Mathematical Reviews
*

Authors’ summary: “This paper presents

*a*version*of**the*preconditioned conjugate gradient algorithm as applied to*the**solution**of**a**large*and*sparse**system**of**linear*algebraic*equations*83e:65065 ... Author’s introduction: “*The**solution*vector x to*the**linear**system*Ax = b, where x and b are n-vectors and*A*is*a**sparse*n Xn matrix, is often*a*discrete approximation to*a**solution**of**a*differential*equation*...##
###
A GPU-Based Transient Stability Simulation Using Runge-Kutta Integration Algorithm

2013
*
International Journal of Smart Grid and Clean Energy
*

*The*differential

*equations*

*of*dynamic components are evaluated in GPU, while

*the*

*linear*network

*equations*are solved in CPU using

*sparse*

*direct*solver. ... Simulation on IEEE 22-bus power

*system*with 6 generators is reported to validate

*the*feasibility

*of*

*the*proposed

*method*. ... Since solving dense

*linear*

*systems*

*of*

*equations*is

*a*fundamental problem in scientific computing, it is critical to accelerate

*the*

*solution*

*of*

*large*-scale

*linear*

*equations*as fast as possible. ...

##
###
Preconditioning Techniques for Sparse Linear Systems

2012
*
Journal of Applied Mathematics
*

Acknowlegments We would like to thank

doi:10.1155/2012/518165
fatcat:pnprhaohazdi3kuxhjb3yurov4
*the*authors*for*their valuable contributions and*the*anonymous reviewers*for*their thorough and insightful comments that brought this special Issue to fruition. ...*Direct**methods**for**sparse**linear**systems*often represent*the*de facto solver in several commercial codes on*the*basis*of*their robustness and reliability. ... Saad, Iterative*Methods**for**Sparse**Linear**Systems*, SIAM, Philadelphia, 2003 than*a*rigorous mathematical exercise. ...##
###
Page 3161 of Mathematical Reviews Vol. , Issue 88f
[page]

1988
*
Mathematical Reviews
*

ISBN 0-19-853408-6

*The*authors have written an excellent book on*the*present state*of*affairs in*the**solution**of**large**sparse*matrix*systems*by*direct*meth- ods. ... This paper deals with*the*iterative*solutions**of**large**systems**of**linear**equations*such as those arising from finite difference ap- proximations to elliptic partial differential*equations*. ...##
###
Page 1627 of Mathematical Reviews Vol. , Issue 83d
[page]

1983
*
Mathematical Reviews
*

Iterative

*methods**for*solving*large**sparse**linear**systems*. Numerical*solutions**of*partial differential*equations*( Parkville, 1981), pp. 367-396, North-Holland, Amsterdam, 1982. ... that*of*one*system**of**large*asymmetric*sparse**linear*algebraic*equations*Ax = b with variable order. ...##
###
Page 1205 of Mathematical Reviews Vol. 49, Issue 3
[page]

1975
*
Mathematical Reviews
*

K. 6582 On

*the**method**of*conjugate gradients*for**the**solution**of**large**sparse**systems**of**linear**equations*.*Large**sparse*sets*of**linear**equations*(Proc. Conf., St. ... W. 6583 Conjugate*direction**methods**for*solving*systems**of**linear**equations*. Numer. Math. 21 (1973/74), 285-297. ...##
###
Page 2880 of Mathematical Reviews Vol. 58, Issue 4
[page]

1979
*
Mathematical Reviews
*

*The*authors study

*direct*

*methods*

*for*solving

*large*

*sparse*

*systems*

*of*

*linear*

*equations*. ... .; Kehat, E. 58 # 19068

*A*

*direct*

*method*

*for*

*the*

*solution*

*of*

*large*

*sparse*

*systems*

*of*

*linear*

*equations*. Comput. J. 19 (1976), no. 4, 353-359. ...

##
###
Efficient Solution of Spacecraft Thermal Models Using Preconditioned Conjugate Gradient Methods

1998
*
Journal of Spacecraft and Rockets
*

*For*small or moderate

*linear*

*systems*,

*a*conventional

*direct*

*method*is efficient

*for*

*a*

*solution*. ... Iterative

*methods*and conjugate gradient

*methods*offer several advantages

*for*

*the*solu- tion

*of*

*large*, randomly packed,

*sparse*,

*linear*

*systems*over

*direct*

*methods*. ...

##
###
Simultaneous analysis of large INTEGRAL/SPI11Based on observations with INTEGRAL, an ESA project with instruments and science data center funded by ESA member states (especially the PI countries: Denmark, France, Germany, Italy, Spain, and Switzerland), Czech Republic and Poland with participation of Russia and the USA. datasets: Optimizing the computation of the solution and its variance using sparse matrix algorithms

2013
*
Astronomy and Computing
*

Since

doi:10.1016/j.ascom.2013.03.002
fatcat:dk52pn7e45ayjhm3myz7ha3rie
*the*SPI transfer function is*sparse*, we have used some popular*methods**for**the**solution**of**large**sparse**linear**systems*; we briefly review these*methods*. ... Processing several years*of*data simultaneously requires computing not only*the**solution**of**a**large**system**of**equations*, but also*the*associated uncertainties. ... Since*the*SPI transfer function is*sparse*, we have used some popular*methods**for**the**solution**of**large**sparse**linear**systems*; we briefly review these*methods*. ...##
###
Hybrid Iterative-Direct Solution Strategy For Improving The Scalability Of Nuclear Waste Management Simulations

2017
*
Zenodo
*

*The*enabling numerical tool is

*a*domain decomposition

*solution*strategy

*for*

*the*

*sparse*

*system*

*of*

*linear*

*equations*resulting from

*the*spatial discretization

*of*

*the*underlying PDEs (Partial Differential ...

*A*concrete application is considered

*for*assessing

*the*benefits

*of*using

*a*domain decomposition

*sparse*

*linear*

*solution*strategy as compared to

*the*originally used approach, which is based on

*a*more classical ... Acknowledgements This work was financially supported by

*the*PRACE project funded in part by

*the*EU's Horizon 2020 research and innovation programme (2014-2020) under grant agreement 653838. ...

« Previous

*Showing results 1 — 15 out of 152,046 results*