Algebraic theory of fast mixed-radix transforms. II. Computational complexity and applications
Algebraic theory of right invertible operators
Algebras of approximation sequences: Fredholm theory in fractal algebras
The present paper is a continuation of [5, 7] where a Fredholm theory for approximation sequences is proposed and some of its properties and consequences are studied. Here this theory is specified to the class of fractal approximation methods. The main result is a formula for the so-called α-number of an approximation sequence (Aₙ) which is the analogue of the kernel dimension of a Fredholm operator.
Algorithm 1. Elliptic integrals of the second and third kinds
Algorithm 12. Minimum of a function of one variable
Algorithm 25. Discrete optimization by the method of Mao and Wallingford
Algorithm 26. Limit distribution of the number of items in the queueing system E₂/E₂/n
Algorithm 29. Solving systems of linear equations by Sokolov's method
Algorithm 30. The calculation of the minimum of a certain function of one variable
Algorithm 31. The calculation of the minimum of a certain function of several variables
Algorithm 35. Calculation of measures of stochastical dependence
Algorithm 37. Solution of sparse linear equation systems
Algorithm 4. Polynomial decomposition into quadratic factors with controlled accuracy by Bairstow's method
Algorithm 43. Evaluation of an improper integral on a finite interval
Algorithm. 44. MIMUN. Optimization of one-dimensional multimodal functions in the presence of noise
Algorithm 45. A heuristic algorithm for the traveling-salesman problem
Algorithm 46. Determination of an interpolating quadratic spline function
Algorithm 47. Solution of a first-order non-linear differential equation in Chebyshev series
Algorithm 48. Solving boundary value problems for the biharmonic equation by the method of summary representations
Algorithm 49. An algorithm for solving the machine sequencing problem