An accelerated iterative method for computing weighted Moore-Penrose inverse

作者：Soleymani F; Stanimirovic Predrag S^*; Ullah Malik Zaka

来源：Applied Mathematics and Computation, 2013, 222: 365-371.

DOI：10.1016/j.amc.2013.07.039

• Schulz method
• Weighted Moore-Penrose inverse
• Weighted singular value decomposition
• Iterative methods
• Initial approximation

The goal of this paper is to present an accelerated iterative method for computing weighted Moore-Penrose inverse. Analysis of convergence is included to show that the proposed scheme has sixth-order convergence. Using a proper initial matrix, a sequence of iterates will be produced, which is convergent to the weighted Moore-Penrose inverse. Numerical experiments are reported to show the efficiency of the new method.

• 出版日期2013-10-1