Algebraic properties of refinable sets.
Algebraic properties of the block GMRES and block Arnoldi methods.
Algebraic properties of the E-transformation
Algebraic relations between the total least squares and least squares problems with more than one solution.
Algebraic spectral gaps
For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.
Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices
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