| Abstrakt: |
Without setting any condition on the parameter θ k of a four-term version of the classical one-parameter Hager-Zhang (HZ) method, this article proposes another HZ-type scheme for solving constrained monotone equations, where the condition for global convergence is satisfied for θ k ∈ [ 0 , + ∞) . This is an improvement from the former, its recent adaptive variant, where the global convergence condition holds for θ k ∈ (0 , + ∞) under certain defined condition, as well as other adaptations for systems of monotone equations, where the condition holds only when θ k ∈ (1 4 , + ∞) . By conducting singular value study of iteration matrix of the scheme, a choice of θ k restricted in the interval (0 , 1 4 ] is obtained to study its impact on the scheme. Moreover, the scheme converges globally and its effectiveness is shown by some numerical experiments and image de-blurring application. [ABSTRACT FROM AUTHOR] |
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