Search Results - "Jacobi‐gradient iterative algorithm"

An Accelerated Jacobi-Gradient Iterative Algorithm to Solve the Matrix Equation $${\varvec{A}}\boldsymbol{ Z}-\overline{\boldsymbol{ Z}}{\varvec{B}}={\varvec{C}}$$

Authors: Ahmed M. E. Bayoumi

Source: Iranian Journal of Science. 48:659-666

A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation A𝒱−𝒱‾B=C

Authors: Ahmed M. E. Bayoumi

Source: Optimal Control Applications and Methods. 45:1593-1602

Subject Terms: 0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation A풱−풱‾B=C.

Authors: Bayoumi, Ahmed M. E.

Source: Optimal Control - Applications & Methods; Jul2024, Vol. 45 Issue 4, p1593-1602, 10p

Subject Terms: ALGORITHMS, EQUATIONS, MATRICES (Mathematics), MATHEMATICS

A shift-splitting hierarchical identification iterative algorithm for solving the matrix equation AX−X‾B=C.

Authors: Bayoumi, Ahmed M. E.

Source: Advances in Continuous & Discrete Models; 5/14/2025, Vol. 2025 Issue 1, p1-15, 15p

Subject Terms: ITERATIVE methods (Mathematics), NUMERICAL analysis, ALGEBRAIC equations

A shift-splitting Jacobi-gradient algorithm for Lyapunov matrix equations arising from control theory.

Authors: Sheng-Kun Li Ting-Zhu Huang

Source: Journal of Computational Analysis & Applications. Nov2011, Vol. 13 Issue 7, p1246-1257. 12p. 2 Charts, 4 Graphs.

Subject Terms: *ALGORITHMS, *LYAPUNOV exponents, *CONTROL theory (Engineering), *LINEAR systems, *NUMERICAL solutions to equations, *ITERATIVE methods (Mathematics), *STOCHASTIC convergence, *MATHEMATICAL analysis

An $ \eta $-Hermitian solution to a two-sided matrix equation and a system of matrix equations over the skew-field of quaternions.

Authors: Mehany, Mahmoud S. Alanazi, Faizah D.

Source: AIMS Mathematics; 2025, Vol. 10 Issue 4, p1-22, 22p

Subject Terms: MATRIX inversion, LINEAR equations, QUATERNIONS, EQUATIONS, HERMITIAN forms

Relaxed gradient-based iterative solutions to coupled Sylvester-conjugate transpose matrix equations of two unknowns.

Authors: Bayoumi, Ahmed M. E.

Source: Engineering Computations; 2023, Vol. 40 Issue 9/10, p2776-2793, 18p

Subject Terms: SYLVESTER matrix equations, EQUATIONS, CONJUGATE gradient methods, SOCIAL impact, MATRICES (Mathematics)

Modified Jacobi-Gradient Iterative Method for Generalized Sylvester Matrix Equation.

Authors: Sasaki, Nopparut Chansangiam, Pattrawut

Source: Symmetry (20738994); Nov2020, Vol. 12 Issue 11, p1831, 1p

Subject Terms: SYLVESTER matrix equations, HAMILTON-Jacobi equations, KRONECKER products, ERROR rates, MATRIX norms