A General Numerical Approach to Sensitivity Analysis and Error Analysis with Adjoint Systems
A general quadrature formula using zeros of spherical Bessel functions as nodes
We obtain, for entire functions of exponential type satisfying certain integrability conditions, a quadrature formula using the zeros of spherical Bessel functions as nodes. We deduce from this quadrature formula a result of Olivier and Rahman, which refines itself a formula of Boas.
A general scheme for constructing inversion algorithms for cone beam CT.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
A general theorem on triangular finite -elements
A Generalisation of Régula Falsi.
A Generalisation of Systematic Relaxation Methods for Consistently Ordered Matrices.
A generalization of Edelstein's theorem on fixed points and applications.
A Generalization of the Potential Method for Conditional Maxima on the Banach, Reflexive Spaces.
A generalization of the pre-Grüss inequality and applications to some quadrature formulae.
A Generalization of the Schwarz Alternating Method to an Arbitrary Number of Subdomains.
A generalization of the steepest descent method for matrix functions.
A Generalization of the Stein-Rosenberg Theorem to Banach Spaces.
A generalized ADI iterative method.
A Generalized Conjugate Gradient Algorithm for Minimization.
A Generalized Conjugate Gradient, Least Square Method.
A generalized limited-memory BNS method based on the block BFGS update
A block version of the BFGS variable metric update formula is investigated. It satisfies the quasi-Newton conditions with all used difference vectors and gives the best improvement of convergence in some sense for quadratic objective functions, but it does not guarantee that the direction vectors are descent for general functions. To overcome this difficulty and utilize the advantageous properties of the block BFGS update, a block version of the limited-memory BNS method for large scale unconstrained...
A Generalized Treatment of the Rounding Problem. Rounding errors of Linear Functions
A geometric model for activ contours in image processing.