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NA
2010
95views more  NA 2010»
13 years 6 months ago
A new algorithm for computing the Geronimus transformation with large shifts
Abstract A monic Jacobi matrix is a tridiagonal matrix which contains the parameters of the three-term recurrence relation satisfied by the sequence of monic polynomials orthogonal...
Maria Isabel Bueno Cachadina, Alfredo Deaño...
NA
2010
235views more  NA 2010»
13 years 6 months ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh
NA
2010
124views more  NA 2010»
13 years 6 months ago
An efficient unified approach for the numerical solution of delay differential equations
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
Hossein ZivariPiran, Wayne H. Enright
NA
2010
94views more  NA 2010»
13 years 6 months ago
Numerically optimal Runge-Kutta pairs with interpolants
Explicit Runge
J. H. Verner
NA
2010
104views more  NA 2010»
13 years 6 months ago
New interpolants for asymptotically correct defect control of BVODEs
The defect of a continuous approximate solution to an ODE is the amount by which that approximation fails to satisfy the ODE. A number of studies have explored the use of asymptot...
Wayne H. Enright, P. H. Muir
NA
2010
87views more  NA 2010»
13 years 6 months ago
An implicit box scheme for subsonic compressible flow with dissipative source term
We investigate the stability and convergence of an implicit box scheme for subsonic flows modelled by scalar conservation laws with dissipative and possibly stiff source terms. The...
Oliver Kolb, Jens Lang, Pia Bales
NA
2010
144views more  NA 2010»
13 years 10 months ago
A binary powering Schur algorithm for computing primary matrix roots
An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalu...
Federico Greco, Bruno Iannazzo
NA
2010
117views more  NA 2010»
13 years 10 months ago
A fast solver for linear systems with displacement structure
We describe a fast solver for linear systems with reconstructible Cauchylike structure, which requires O(rn2 ) floating point operations and O(rn) memory locations, where n is th...
Antonio Arico, Giuseppe Rodriguez