Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse

Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse

We derive a double-optimal iterative algorithm (DOIA) in an <i>m</i>-degree matrix pencil Krylov subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a matrix pencil and using two optimization techniques, we determine the expansion coefficients exp...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
Format: Article
Language:English
Published: MDPI AG 2024-06-01
Series:Mathematics
Subjects:
linear matrix equations
matrix pencil Krylov subspace method
double-optimal iterative algorithm
Moore–Penrose pseudoinverse
restarted DOIA
optimized hyperpower method
Online Access:https://www.mdpi.com/2227-7390/12/11/1761

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https://www.mdpi.com/2227-7390/12/11/1761

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