Share This Author
Iterative Methods for the Solution of Equations
- J. Traub
General Preliminaries: 1.1 Introduction 1.2 Basic concepts and notations General Theorems on Iteration Functions: 2.1 The solution of a fixed-point problem 2.2 Linear and superlinear convergence 2.3…
Optimal Order of One-Point and Multipoint Iteration
It is proved that the optimal order of one general class of multipoint iterations is 2 and that an upper bound on the order of a multipoint iteration based on n evaluations of ƒ (no derivatives) is 2.
Information-based complexity seeks to develop general results about the intrinsic difficulty of solving problems where available information is partial or approximate and to apply these results to…
A general theory of optimal algorithms
This work is a general theory of optimal algorithms, it will really give you the good idea to be successful.
Faster Valuation of Financial Derivatives
Numerical testing which compares low-discrepancy and Monte Carlo algorithms on the evaluation of financial derivatives concludes that for this CMO the Sobol algorithm is always superior to the other algorithms.
On Euclid's Algorithm and the Theory of Subresultants
An elementary treatment of the theory of subresultants is presented, and the relationship of the sub resultants of a given pair of polynomials to their polynomial remainder sequence as determined by Euclid's algorithm is examined.
Convergence and Complexity of Newton Iteration for Operator Equations
An optimal convergence condition for Newton iteration in a Banach space is established and which stronger condition must be imposed to also assure good complexity.
Quantum algorithm and circuit design solving the Poisson equation
A quantum algorithm and a scalable quantum circuit design which approximates the solution of the Poisson equation on a grid with error ε and produces a quantum state encoding the solution.
Complexity and information
This book explains the development of information-based complexity and some interesting topics include very high-dimensional integration and mathematical finance, and the curse of dimensionality.