Limited Memory Methods with Improved Symmetric Rank-one Updates and Its Applications on Nonlinear Image Restoration

作者：Khiyabani Farzin Modarres^*; Leong Wah June

来源：ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2014, 39(11): 7823-7838.

DOI：10.1007/s13369-014-1357-3

• Large-scale optimization
• Image restoration
• Quasi-Newton methods
• Limited memory scheme
• symmetric rank-one update

The iterative solution of unconstrained optimization problems has been found in a variety of significant applications of research areas, such as image restoration. In this paper, we present an efficient limited memory quasi-Newton technique based on symmetric rank-one updating formula to compute meaningful solutions for large-scale problems arising in some image restoration problems. Numerical experiments and comparisons on various well-known methods in the literature are presented to illustrate the effectiveness of the proposed method particularly for images of large size.

• 出版日期2014-11