Method of curvature in circular complex arithmetic.
Monotone interval eigenproblem in max–min algebra
The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.
Nonsingularity and -matrices.
New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
On a Theorem of Stein-Rosenberg Type in Interval Analysis.
On an algorithm for testing T4 solvability of max-plus interval systems
In this paper, we shall deal with the solvability of interval systems of linear equations in max-plus algebra. Max-plus algebra is an algebraic structure in which classical addition and multiplication are replaced by and , where , . The notation represents an interval system of linear equations, where and are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 solvability and give an algorithm...
On Newton-like methods to enclose solutions of nonlinear equations
We present a class of Newton-like methods to enclose solutions of systems of nonlinear equations. Theorems are derived concerning the feasibility of the method, its global convergence, its speed and the quality of enclosure.
On sums of dependent uniformly distributed random variables.
We study and solve several functional equations which yield necessary and sufficient conditions for the sum of two uniformly distributed random variables to be uniformly distributed.
On the Arithmetic of Errors
An approximate number is an ordered pair consisting of a (real) number and an error bound, briefly error, which is a (real) non-negative number. To compute with approximate numbers the arithmetic operations on errors should be well-known. To model computations with errors one should suitably define and study arithmetic operations and order relations over the set of non-negative numbers. In this work we discuss the algebraic properties of non-negative numbers starting from familiar properties of...
On the Convergence of Powers of Interval Matrices (2).
On the Convergence Order of Accelerated Root Iterations.
On the improved family of simultaneous methods for the inclusion of multiple polynomial zeros.
On the iterative inclusion of solutions in initial value problems
On the Numerical Solution of the Equation ....-(....) = f and Its Discretizations, I.
Parallel Interval Multisplittings.
Solution of a system of linear equations with given error sets for coefficients
In the paper, a method is given for finding all solutions of a system of linear equations with interval coefficients and with additional supposition that these coefficients fulfil a given system of homogeneous linear equations.
Solution-bounds for a class of difference equations
Square-root families for the simultaneous approximation of polynomial multiple zeros.
Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.
The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.
О множестве решений линейного уравнения с интервально заданными оператором и правой частью.
Об оценке области, содержащей решение системы линейных алгебраических уравнений