A Preconditioning Algorithm for the Positive Solution of Fully Fuzzy Linear System
| Autor: | Kumar Dookhitram, Sameer Sunhaloo, Nisha Rambeerich, Arshad Peer, Aslam Saib |
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| Rok vydání: | 2012 |
| Předmět: |
Trapezoidal fuzzy number
Preconditioning techniques Quantitative Biology::Molecular Networks Linear system lcsh:QA299.6-433 lcsh:Analysis Positive-definite matrix Center (group theory) System of linear equations Computer Science::Numerical Analysis Fuzzy logic Fully fuzzy linear system Matrix (mathematics) Modal Conjugate gradient algorithm Fuzzy number Positive definite matrices Algorithm Mathematics |
| Zdroj: | Journal of Fuzzy Set Valued Analysis, Vol 2012, Pp 1-14 (2012) |
| ISSN: | 2193-4169 |
| DOI: | 10.5899/2012/jfsva-00123 |
| Popis: | A linear system of equations is called a fully fuzzy linear system (FFLS) if all the quantities of this system are fuzzy numbers. We consider the positive solution of FFLS, where the modal value (center) matrix is positive definite and we develop a new approximate procedure based on preconditioning. We observe from the numerical results that our method is more accurate than the iterative Jacobi, Gauss-Seidel and Successive Over-Relaxation (SOR) methods when finding approximate solutions of FFLS. |
| Databáze: | OpenAIRE |
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