Orthogonal Least Squares Fitting with Linear Manifolds.
Orthogonal polynomials and quadrature.
Orthogonal polynomials and the Lanczos method
Lanczos method for solving a system of linear equations is well known. It is derived from a generalization of the method of moments and one of its main interests is that it provides the exact answer in at most n steps where n is the dimension of the system. Lanczos method can be implemented via several recursive algorithms known as Orthodir, Orthomin, Orthores, Biconjugate gradient,... In this paper, we show that all these procedures can be explained within the framework of formal orthogonal polynomials....
Orthogonal polynomials on the semicircle
Orthogonalization, factorization, and identification as to the theory of recursive equations in linear algebra.
Orthonormal polynomial vectors and least squares approximation for a discrete inner product.
Oscillateurs harmoniques faiblement perturbés : l'algorithme numérique des «pas de géants»
Oscillation in linear differential equations
Oscillation Matrices with Spline Smoothing.
Oscillation of Bôcher's pairs with respect to halflinear second order diff. equ.-s
Oscillation theory of higher-order ordinary and functional differential equations with forcing terms
Oscillation theory of self-adjoint equations and some its applications
Ostrowski-Kantorovich theorem and -order of convergence of Halley method in Banach spaces
Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in Banach spaces is presented. The complete expression of an upper bound for the method is given based on the initial information. Also some properties of -order of convergence and sufficient asymptotic error bound will be discussed.
Overimplicit methods for the solution of evolution problems
Overimplicit multistep methods