On the solution set of a linear equation with the right-hand side and operator given by intervals

DOI10.1007/BF02104573zbMath0852.65026MaRDI QIDQ1920822

S. I. Noskov, Anatoly V. Lakeyev

Publication date: 5 December 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

system of linear equationsinterval mathematicsordered vector spacesadmissible solution setset of all pointwise algebraic interval solutionstotal solution set

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (9)

ON THE DISTANCE-DEGREE ENERGY OF GRAPHS ⋮ Maximum compatibility method for data fitting under interval uncertainty ⋮ APPLICATION OF THE CRITERION OF CONSISTENCY OF BEHAVIOR TO ASSESS THE ADEQUACY OF THE DISCRETE MODEL OF THE DYNAMICS OF THE IMPORT OF COMMERCIAL GOODS ⋮ MAXIMIZATION OF THE DYNAMIC CRITERION OF CONSISTENCY OF BEHAVIOR AS A PARTIALLY BOOLEAN LINEAR PROGRAMMING PROBLEM ⋮ Weak and strong solvability of interval linear systems of equations and inequalities ⋮ AE solutions and AE solvability to general interval linear systems ⋮ Interval optimal control problem in a Hilbert space ⋮ On solvability recognition for interval linear systems of equations ⋮ Checking solvability of systems of interval linear equations and inequalities via mixed integer programming

Cites Work

• Linear interval equations
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• Über Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten
• On the Solution Set of a Linear System with Inaccurate Coefficients
• On the problems of linear programming with integral coefficients
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