On the Solution of Parametrised Linear Systems

DOI10.1007/978-1-4757-6484-0_11zbMath1391.65072OpenAlexW2136017109MaRDI QIDQ4577110

Evgenija D. Popova

Publication date: 16 July 2018

Published in: Scientific Computing, Validated Numerics, Interval Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4757-6484-0_11

zbMATH Keywords

applicationsfixed-point iterationGauss-Seidel iterationgeneralised interval arithmeticparameter dependent linear systems

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10)

Related Items (14)

Parameterized solution of linear interval parametric systems ⋮ Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Exact solution to a parametric linear programming problem ⋮ Enclosures for the solution set of parametric interval linear systems ⋮ Fast enclosing the solution set of the parametric Sylvester matrix equations ⋮ A new method for computing a \(p\)-solution to parametric interval linear systems with affine-linear and nonlinear dependencies ⋮ Unnamed Item ⋮ Solving over-constrained systems of non-linear interval equations -- and its robotic application ⋮ Visualizing parametric solution sets ⋮ Improvement of a direct method for outer solution of linear parametric systems ⋮ A Comparison of Methods for Solving Parametric Interval Linear Systems with General Dependencies ⋮ AE solutions to interval linear systems over max-plus algebra ⋮ Unnamed Item ⋮ A method for outer interval solution of systems of linear equations depending linearly on interval parameters

Cites Work

• Fundamentals of SIGLA, an interval computing system over the completed set of intervals
• Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
• Interval Methods for Systems of Equations
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