Fredrick Asenso Wireko - Profile on Academia.edu (original) (raw)
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Papers by Fredrick Asenso Wireko
Non-optimal and optimal fractional control analysis of measles using real data
Informatics in medicine unlocked, Jul 1, 2024
Modelling the dynamics of Ebola disease transmission with optimal control analysis
Modeling earth systems and environment, May 23, 2024
A fractional order Ebola transmission model for dogs and humans
Scientific African, May 1, 2024
In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matri... more In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard. These ill-posed problems cannot be regularized by Gauss Least Square Method (GLSM), QR Factorization Method (QRFM), Cholesky Decomposition Method (CDM) and Singular Value Decomposition (SVDM). To overcome the limitations of these methods of regularization, an Eigenspace Spectral Regularization Method (ESRM) is introduced which solves ill-p os ed discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator. Unlike GLSM, QRFM, CDM, and SVDM, the ESRM regularize such a system. In addition, the ESRM has a unique property, the norm of the eigenspace spectral matrix operator κ (K) = ||K − 1K|| = 1. Thus, the condition number of ESRM is bounded by unity unlike the other re...
Modelling the transmission behavior of Measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel
Physica scripta, May 29, 2024
Optimal control dynamics of Gonorrhea in a structured population
Heliyon
Mathematical Modelling of Ebola with Optimal Control and Cost-Effectiveness Analysis
A fractal–fractional model of Ebola with reinfection
Results in Physics
A fractal–fractional order model for exploring the dynamics of Monkeypox disease
Decision Analytics Journal
In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matri... more In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard. These ill-posed problems cannot be regularized by Gauss Least Square Method (GLSM), QR Factorization Method (QRFM), Cholesky Decomposition Method (CDM) and Singular Value Decomposition (SVDM). To overcome the limitations of these methods of regularization, an Eigenspace Spectral Regularization Method (ESRM) is introduced which solves ill-p os ed discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator. Unlike GLSM, QRFM, CDM, and SVDM, the ESRM regularize such a system. In addition, the ESRM has a unique property, the norm of the eigenspace spectral matrix operator κ (K) = ||K − 1K|| = 1. Thus, the condition number of ESRM is bounded by unity unlike the other re...
Non-optimal and optimal fractional control analysis of measles using real data
Informatics in medicine unlocked, Jul 1, 2024
Modelling the dynamics of Ebola disease transmission with optimal control analysis
Modeling earth systems and environment, May 23, 2024
A fractional order Ebola transmission model for dogs and humans
Scientific African, May 1, 2024
In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matri... more In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard. These ill-posed problems cannot be regularized by Gauss Least Square Method (GLSM), QR Factorization Method (QRFM), Cholesky Decomposition Method (CDM) and Singular Value Decomposition (SVDM). To overcome the limitations of these methods of regularization, an Eigenspace Spectral Regularization Method (ESRM) is introduced which solves ill-p os ed discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator. Unlike GLSM, QRFM, CDM, and SVDM, the ESRM regularize such a system. In addition, the ESRM has a unique property, the norm of the eigenspace spectral matrix operator κ (K) = ||K − 1K|| = 1. Thus, the condition number of ESRM is bounded by unity unlike the other re...
Modelling the transmission behavior of Measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel
Physica scripta, May 29, 2024
Optimal control dynamics of Gonorrhea in a structured population
Heliyon
Mathematical Modelling of Ebola with Optimal Control and Cost-Effectiveness Analysis
A fractal–fractional model of Ebola with reinfection
Results in Physics
A fractal–fractional order model for exploring the dynamics of Monkeypox disease
Decision Analytics Journal
In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matri... more In this paper, it is shown that discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard. These ill-posed problems cannot be regularized by Gauss Least Square Method (GLSM), QR Factorization Method (QRFM), Cholesky Decomposition Method (CDM) and Singular Value Decomposition (SVDM). To overcome the limitations of these methods of regularization, an Eigenspace Spectral Regularization Method (ESRM) is introduced which solves ill-p os ed discrete equations with Hilb ert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, and sparse matrix operator. Unlike GLSM, QRFM, CDM, and SVDM, the ESRM regularize such a system. In addition, the ESRM has a unique property, the norm of the eigenspace spectral matrix operator κ (K) = ||K − 1K|| = 1. Thus, the condition number of ESRM is bounded by unity unlike the other re...