Convergence of iterations for linear equations
Convergence of iterations for linear equations
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
An interpolatory approximation of the matrix exponential based on Faber polynomials
Journal of Computational and Applied Mathematics
A Projection-Based Approach to General-Form Tikhonov Regularization
SIAM Journal on Scientific Computing
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Meshfree Approximation Methods with MATLAB
Meshfree Approximation Methods with MATLAB
Error Estimates for Polynomial Krylov Approximations to Matrix Functions
SIAM Journal on Matrix Analysis and Applications
Error Estimates and Evaluation of Matrix Functions via the Faber Transform
SIAM Journal on Numerical Analysis
Further Analysis of the Arnoldi Process for Eigenvalue Problems
SIAM Journal on Numerical Analysis
A rational Arnoldi approach for ill-conditioned linear systems
Journal of Computational and Applied Mathematics
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A novel preconditioned iterative method for solving discrete ill-posed problems, based on the Arnoldi algorithm for matrix functions, is presented. The method is also extended to work in connection with Tikhonov regularization. Numerical experiments arising from the solution of integral equations and image restoration are presented.