Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Solvability, exact solution and momentum acceleration gradient-based iterative algorithm for general matrix equation AXB+CX¯D+EXTF+GX∗H=J and studying its applications in discrete-time antilinear systems and color image restoration. |
| Συγγραφείς: |
Shirilord, Akbar, Dehghan, Mehdi |
| Πηγή: |
Numerical Algorithms; Apr2026, Vol. 101 Issue 4, p2505-2566, 62p |
| Θεματικοί όροι: |
Iterative methods (Mathematics), Momentum (Mechanics), Discrete-time systems, Matrix multiplications, Matrices (Mathematics), Numerical analysis |
| Περίληψη: |
In this paper, we propose innovative iterative algorithms founded on the gradient method to address conjugate transpose matrix equations for both real and complex matrices. A comprehensive analysis of the convergence behavior of these methods is conducted, alongside the development of practical numerical techniques for obtaining solutions efficiently. One of these methods uses the momentum technique. In this method, the optimal parameter of momentum is also determined. To substantiate the efficacy of the proposed iterative methods, we present diverse numerical examples within this study and contrast the outcomes with those obtained using existing algorithms. Additionally, we apply these methods to discrete-time antilinear systems, demonstrating their effectiveness in real-world scenarios. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
Complementary Index |