A new approach to obtain algebraic solution of interval linear systems
From MaRDI portal
Publication:1933765
DOI10.1007/s00500-011-0739-7zbMath1264.65034OpenAlexW2083281976MaRDI QIDQ1933765
Mojtaba Ghanbari, Tofigh Allahviranloo
Publication date: 25 January 2013
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-011-0739-7
Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (10)
Fuzzy approximate solution of positive fully fuzzy linear matrix equations ⋮ Estimation of algebraic solution by limiting the solution set of an interval linear system ⋮ Finding an inner estimation of the solution set of a fuzzy linear system ⋮ On the new solutions for a fully fuzzy linear system ⋮ Transformations of mixed solution types of interval linear equations system with boundaries on its left-hand side to linear inequalities with binary variables ⋮ FUZZY INCLUSION LINEAR SYSTEMS ⋮ Solving fuzzy complex system of linear equations ⋮ On the power sequence of a fuzzy interval matrix with max-min operation ⋮ Solving fully interval linear systems of equations using tolerable solution criteria ⋮ Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A contribution to the feasibility of the interval Gaussian algorithm
- On regular and singular interval systems
- A new method for solving interval and fuzzy equations: linear case
- Bounding the zeros of an interval equation
- Checking solvability of systems of interval linear equations and inequalities via mixed integer programming
- An iterative method for algebraic solution to interval equations
- The Cholesky method for interval data
- Rigorous global search: continuous problems
- Algebraic approach in the ``outer problem for interval linear equations
- Interval analysis: Theory and applications
- On the computation of solutions of systems of interval polynomial equations
- Solving interval linear systems with linear programming techniques
- Interval solutions for interval algebraic equations
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Interval Gaussian Elimination with Pivot Tightening
- Bounds on Solutions of Linear Systems with Inaccurate Data
- Interval Methods for Systems of Equations
- On the Symmetric and Unsymmetric Solution Set of Interval Systems
- Linear Optimization Problems with Inexact Data
- On the Solution Set of a Linear System with Inaccurate Coefficients
- Fuzzy linear systems
- A priori estimates for the zeros of interval polynomials
This page was built for publication: A new approach to obtain algebraic solution of interval linear systems
