Optimal interpolatory splines using -spline representation
Optimal quadratic interpolatory splines on general knotset
Optimal Successive Overrelaxation Iterative Methods fo P-Cyclic Matrices.
Optimality Relationships for p-Cyclic SOR.
Optimally Conditioned Vandermonde Matrices.
Optimally rotated vectors.
Optimally Scaled Matrices, Necessary and Sufficient Conditions.
Optimizing tensor product computations in stochastic automata networks
Optimum Stationary and Nonstationary Iterative Methods for the Solution of Singular Linear Systems.
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....
Orthogonalization, factorization, and identification as to the theory of recursive equations in linear algebra.