Results 251 to 260 of about 16,348 (266)

Preconditioned conjugate‐ and secant‐Newton methods for non‐linear problems

International Journal for Numerical Methods in Engineering, 1989
AbstractThe preconditioned conjugate gradient (CG) method is becoming accepted as a powerful tool for solving the linear systems of equations resulting from the application of the finite element method. Applications of the non‐linear algorithm are mainly confined to the diagonally scaled CG. In this study the coupling of preconditioning techniques with
M. Papadrakakis, C. J. Gantes
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The conjugate gradient method for linear ill-posed problems with operator perturbations

Numerical Algorithms, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On A Problem of Linear Conjugation in the Case of Nonsmooth Lines and Some Measurable Coefficients

gmj, 2002
Abstract A boundary value problem of linear conjugation is considered for more general curves than those studied previously. A condition on the coefficient is found, under which the classical results are valid for these curves.
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Linear conjugation problem for elliptic systems in the plane

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021
Alexandr Pavlovich Soldatov, Olga Viktorovna Chernova   +1 more
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A regularizing algorithm for some boundary value problems of linear conjugation

1996
Let \(z\) be a point in the complex plane. Let \(\gamma= \{z:| z|= 1\}\). Let \(D^+= \{z:| z|< 1\}\). Two incorrect tasks with displacement are considered: a) It is necessary to find two analytical functions \(\Phi(z)\) and \(\Psi(z)\) in \(D^+\) represented by Cauchy integrals and satisfying the equations \[ \Phi[\alpha(t)]= G(t)\Phi(t)+ g(t),\quad t ...
Kravchenko, V. G., Migdal'skij, A. I.
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On solution to R-linear conjugation problem with rational coefficients

Vestnik Syktyvkarskogo Universiteta. Seriya 1: Matematika. Mekhanika. Informatika, 2021
S. V. Rogosin, L. P. Primachuk, M. V. Dubatovskaya   +2 more
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Boundary problem of linear conjugates with shift

Siberian Mathematical Journal, 1976
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Multicomponent boundary-value problem of linear conjugation

Theoretical and Mathematical Physics, 1981
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Linear time-optimal problem and the unit sphere of initial values of the conjugate variable

1985
The following time-invariant system is given: \(\dot x=Ax+bu,\) \(x(0)=x_ 0\neq 0,\) \(x(t_ 1)=0,\) \(x\in R^ n,\) \(u\in R^ 1,\) \(b\in R^ n,\) where \(\dim A=n\times n,\) \(t_ 1=\min \{t\}.\) Using the maximum principle, a time-optimal control law is derived in the form: \((*)\quad u(t,p)=-sign[p_ 0\gamma (t)],\) where \(p_ 0=p(0,p_ 0)\) is the ...
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Conjugate Gradient Method for Nonlinear Programming Problems with Linear Constraints

Industrial & Engineering Chemistry Fundamentals, 1968
Donald Goldfarb, Leon Lapidus
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