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Interval operators of a function of which the Lipschitz matrix is an interval M-matrix

Computing, 1983
There are several interval iterations by applying interval operators which supply an interval sequence including all solutions of an equationf(x)=0 in a given intervalX0 and which require the knowledge of an interval Lipschitz matrixL off. In this paper statements are made about existence and convergence in case thatL is an intervalM-matrix.
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IMC: A Method for Interval Calculus in Matrix

Knowledge and Information Systems, 1999
Time representation is important in many applications, such as temporal databases, planning, and multi-agents. Since Allen’s work on binary interval relations (called interval algebra), many researchers have further investigated temporal information processing based on interval calculus. However, there are still some limitations, e.g.
Shichao Zhang 0001, Chengqi Zhang
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Fast interval matrix multiplication

Numerical Algorithms, 2011
The author discusses various methods for the multiplication of point and/or interval matrices with interval result. Some are based on new a priori estimates of the error of floating-point matrix products. The amount of overestimation including all rounding errors is analyzed.
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Brown–Robinson method for interval matrix games

Soft Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emrah Akyar   +2 more
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The digraphs and inclusion intervals of matrix singular values

Numerical Linear Algebra with Applications, 2009
AbstractThe paper investigates the inclusion intervals of matrix singular values. By employing the digraph of a matrix, some new inclusion intervals of matrix singular values are presented. These intervals are based mainly on the use of positive scale vectors and their intersections.
Gui-Xian Tian   +2 more
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On another view of an inverse of an interval matrix

Soft Computing, 2009
We consider n × n matrix whose elements are fuzzy numbers (hereinafter a fuzzy matrix) and we introduce notions of regularity of a fuzzy matrix and the inverse matrix of a fuzzy matrix (hereinafter the fuzzy inverse) in this paper. It is shown that the fuzzy inverse is a fuzzy matrix as well.
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Necessary and sufficient conditions for the regularity of an interval matrix

International Journal of Computer Mathematics, 1999
Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.
M. Yousef   +2 more
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Generalized Interval Valued Nonnegative Matrix Factorization

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019
In this paper, we propose a probabilistic model for analyzing the generalized interval valued matrix, a matrix that has scalar valued elements and bounded/unbounded interval valued elements. We derive a majorization minimization algorithm for parameter estimation and prove that the objective function is monotonically decreasing by the parameter update.
Masahiro Kohjima   +2 more
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Matrix Games with Interval Payoffs

2019
In this chapter, flaws of the existing methods [3–7, 11] for solving matrix games (or two person zero sum games) with interval payoffs (matrix games in which payoffs are represented by intervals) are pointed out. To resolve these flaws, a new method (named as Gaurika method) is also proposed to obtain the optimal strategies as well as minimum expected ...
Tina Verma, Amit Kumar
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Weak and Strong Consistency of an Interval Comparison Matrix

2020
We consider interval-valued pairwise comparison matrices and two types of consistency – weak (consistency for at least one realization) and strong (acceptable consistency for all realizations). Regarding weak consistency, we comment on the paper [Y. Dong and E. Herrera-Viedma, Consistency-Driven Automatic Methodology to Set Interval Numerical Scales of
Milan Hladík, Martin Cerný 0005
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