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### A further investigation for Egoroff's theorem with respect to monotone set functions

Kybernetika

In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.

### A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem.

International Journal of Mathematics and Mathematical Sciences

### Aggregation/disaggregation iterative methods applied to Leontev systems and Markov chains

Applications of Mathematics

The paper surveys some recent results on iterative aggregation/disaggregation methods (IAD) for computing stationary probability vectors of stochastic matrices and solutions of Leontev linear systems. A particular attention is paid to fast IAD methods.

### Algebraic relations between the total least squares and least squares problems with more than one solution.

Numerische Mathematik

### Algorithm 61. The solution of a certain linear equation system

Applicationes Mathematicae

### An algorithm for solving the absolute value equation.

ELA. The Electronic Journal of Linear Algebra [electronic only]

### An implementation of the fast Givens transformations on a MIMD computer

Applicationes Mathematicae

### An iterative algorithm for testing solvability of max-min interval systems

Kybernetika

This paper is dealing with solvability of interval systems of linear equations in max-min algebra. Max-min algebra is the algebraic structure in which classical addition and multiplication are replaced by $\oplus$ and $\otimes$, where $a\oplus b=max\left\{a,b\right\},a\otimes b=min\left\{a,b\right\}$. The notation $𝔸\otimes x=𝕓$ represents an interval system of linear equations, where $𝔸=\left[\underline{A},\overline{A}\right]$ and $𝕓=\left[\underline{b},\overline{b}\right]$ 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 and T5 solvability and give necessary and...

### An unusual way of solving linear systems

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Mediante integrali multipli agevoli per il calcolo numerico vengono espressi il valore assoluto di un determinante qualsiasi e le formule di Cramer.

### Bemerkungen zu Determinanten-Theorie. Auszug aus Briefen an Herrn Baltzer.

Journal für die reine und angewandte Mathematik

### Benchmarking aggregation AMG for linear systems in CFD simulations of compressible internal flows.

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

### Bigradients, Hankel determinants and the Newton-Padé table.

Aequationes mathematicae

### Characterization of Linear Stationary Iterative Processes for Solving a Singular System of Linear Equations.

Numerische Mathematik

### Computation of linear algebraic equations with solvability verification over multi-agent networks

Kybernetika

In this paper, we consider the problem of solving a linear algebraic equation $Ax=b$ in a distributed way by a multi-agent system with a solvability verification requirement. In the problem formulation, each agent knows a few columns of $A$, different from the previous results with assuming that each agent knows a few rows of $A$ and $b$. Then, a distributed continuous-time algorithm is proposed for solving the linear algebraic equation from a distributed constrained optimization viewpoint. The algorithm is...

### Determinantal representation of $\left\{I,J,K\right\}$ inverses and solution of linear systems

Mathematica Slovaca

### Eine Untersuchung zur Auflösung magerer Gleichungssysteme.

Journal für die reine und angewandte Mathematik

### Elimination on sparse symmetric systems of a special structure

Aplikace matematiky

### Exact Solution of Linear Equations Using P-Adic Expansions

Numerische Mathematik

### Explicit Solutions of some Linear Matrix Equations

Publications de l'Institut Mathématique

### Generalized Pascal $k$-eliminated functional matrix with $2n$ variables.

ELA. The Electronic Journal of Linear Algebra [electronic only]

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