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Research Article Open Access
This paper deals with linear ill-posed problems relating to Hilbert Systems using comparisons of methods (Matlab Backslash, SVD, GMRES, QR, and PCG) including their regularizations. Hilbert systems of varying sizes were investigated and several results on these methods were presented in tabular form based on error and relative error norm. From our numerical results ran on Matlab version 7.01 only QR regularization method is recommended for the solution of Hilbert linear system.
Hilbert system, SVD decomposition, GMRES, QR factorisation, Error norm, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.