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GMRES×Metode Gradien Konjugasi×
BidangMetode NumerikMetode Numerik
KeluargaMachine learningMachine learning
Tahun asal19861952
PencetusYoucef Saad and Martin H. SchultzMagnus Hestenes and Eduard Stiefel
TipeIterative linear solver for non-symmetric systemsIterative linear solver
Sumber perintisSaad, Y., & Schultz, M. H. (1986). GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing, 7(3), 856–869. DOI ↗Hestenes, M. R., & Stiefel, E. (1952). Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards, 49(6), 409–436. DOI ↗
AliasGMRES(m), restarted GMRES, Krylov-GMRESCG method, Krylov subspace method
Terkait11
RingkasanGMRES (Generalized Minimal Residual) is an iterative method for solving large sparse non-symmetric or nonsymmetric linear systems Ax = b, developed by Saad and Schultz in 1986. It builds an orthonormal Krylov basis using Arnoldi's method and solves a least-squares problem to minimize residual at each iteration.The Conjugate Gradient (CG) Method is an iterative algorithm for solving large sparse symmetric positive-definite linear systems Ax = b, developed by Hestenes and Stiefel in 1952. It is one of the most widely used iterative solvers in scientific computing because it converges in at most n iterations for an n × n matrix and typically requires far fewer.
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ScholarGateBandingkan metode: GMRES · Conjugate Gradient Method. Diakses 2026-06-17 dari https://scholargate.app/id/compare