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LSSC
2005
Springer
14 years 1 months ago
Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems
Abstract. In this paper we discuss an inclusion method for solving rectangular (over- and under-determined) dense linear systems where the input data are uncertain and vary within ...
Evgenija D. Popova
ADCM
1998
133views more  ADCM 1998»
13 years 7 months ago
Numerical exploitation of symmetry in integral equations
: Linear integral operators describing physical problems on symmetric domains often are equivariant, which means that they commute with certain symmetries, i.e., with a group of or...
Eugene L. Allgower, Kurt Georg
MOC
2000
104views more  MOC 2000»
13 years 7 months ago
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
In this paper we analyze the bi-conjugate gradient algorithm in finite precision arithmetic, and suggest reasons for its often observed robustness. By using a tridiagonal structure...
Charles H. Tong, Qiang Ye
HYBRID
2000
Springer
13 years 11 months ago
Verification of Hybrid Systems with Linear Differential Inclusions Using Ellipsoidal Approximations
A general verification algorithm is described. It is then shown how ellipsoidal methods developed by A. B. Kurzhanski and P. Varaiya can be adapted to the algorithm. New numerical ...
Oleg Botchkarev, Stavros Tripakis
IMCSIT
2010
13 years 4 months ago
Solving a Kind of BVP for ODEs on heterogeneous CPU + CUDA-enabled GPU Systems
The aim of this paper is to show that a special kind of boundary value problem for second-order ordinary differential equations which reduces to the problem of solving a tridiagona...
Przemyslaw Stpiczynski, Joanna Potiopa