ON THE DETERMINATION OF THE INTERVAL HULL OF LINEAR INTERVAL EQUATIONS

被引：2

作者：

HUDAK, D

机构：

[1] Hochschule für Verkehrswesen 'Friedrich List' Dresden, Dresden, D-O-8010

来源：

COMPUTING | 1991年 / 46卷 / 03期

关键词：

LINEAR INTERVAL EQUATIONS; INCLUSION OF SOLUTION; ERROR BOUNDS;

D O I：

10.1007/BF02238301

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present new methods for solving special classes of linear interval equations by means of suitable selection systems. First we prove some theorems characterizing the extremal points of the solution set. For invers-stable interval matrices and systems whose solution set are contained in one orthant we give algorithms to select such systems the solutions of which generate the interval hull.

引用

页码：253 / 263

页数：11

共 50 条

[21] The solution of linear interval equations by a linear programming method
Aberth, O
LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 259 : 271 - 279
[22] The solution of linear interval equations by a linear programming method
Department of Mathematics, Texas A and M University, College Station, TX 77843-3368, United States
Linear Algebra Its Appl, 1-3 (271-279):
[23] Interval strong solutions of interval systems of max-plus linear equations
Wang, Cailu
Tao, Yuegang
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 537 : 148 - 159
[24] Solving Systems of Interval Linear Equations with Use of Modified Interval Division Procedure
Dymova, Ludmila
Pilarek, Mariusz
Wyrzykowski, Roman
PARALLEL PROCESSING AND APPLIED MATHEMATICS, PART II, 2010, 6068 : 427 - 435
[25] Algebraic solutions to interval linear equations and their applications
Shary, SP
NUMERICAL METHODS AND ERROR BOUNDS, 1996, 89 : 224 - 233
[26] Inverse problem of the interval linear system of equations
Seif, NP
Hassanein, MA
Deif, AS
COMPUTING, 1999, 63 (02) : 185 - 200
[27] BOUNDING THE SOLUTION OF INTERVAL LINEAR-EQUATIONS
HANSEN, ER
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (05) : 1493 - 1503
[28] Transformations of interval linear systems of equations and inequalities
Hladik, M.
LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (02): : 211 - 223
[29] BLOCK METHODS FOR THE SOLUTION OF LINEAR INTERVAL EQUATIONS
GARLOFF, J
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (01) : 89 - 106
[30] Linear interval equations with symmetric solution sets
L. T. Ashchepkov
Computational Mathematics and Mathematical Physics, 2008, 48 : 531 - 538

← 1 2 3 4 5 →