Improvement of Convergence Property of Communication Avoiding Conjugate Gradient Method for Linear System Obtained from Meshless Approaches

Deterministic convergence of conjugate gradient method for feedforward neural networks

Conjugate gradient methods have many advantages in real numerical experiments, such as fast convergence and low memory requirements. This paper considers a class of conjugate gradient learning methods for backpropagation (BP) neural networks with three layers. We propose a new learning algorithm for almost cyclic BP neural networks based on PRP conjugate gradient method. We then establish the d...

An Efficient Deflation Technique for the Communication- Avoiding Conjugate Gradient Method

Communication-avoiding Krylov subspace methods (CA-KSMs) fuse s loop iterations in order to asymptotically reduce sequential and parallel communication costs by a factor of O(s). However, the actual savings depend on the nonzero structure of the system matrix A, and these savings typically diminish as A fills, as is common when preconditioning. Recent efforts target incorporating preconditionin...

On the Rate of Convergence of the Conjugate Gradient Method for Linear Operators in Hilbert Space

application of upfc based on svpwm for power quality improvement

در سالهای اخیر،اختلالات کیفیت توان مهمترین موضوع می باشد که محققان زیادی را برای پیدا کردن راه حلی برای حل آن علاقه مند ساخته است.امروزه کیفیت توان در سیستم قدرت برای مراکز صنعتی،تجاری وکاربردهای بیمارستانی مسئله مهمی می باشد.مشکل ولتاژمثل شرایط افت ولتاژواضافه جریان ناشی از اتصال کوتاه مدار یا وقوع خطا در سیستم بیشتر مورد توجه می باشد. برای مطالعه افت ولتاژ واضافه جریان،محققان زیادی کار کرده ...

Communication Avoiding Neumann Expansion Preconditioner for LOBPCG Method: Convergence Property of Exact Diagonalization Method for Hubbard Model

Application of Eisenstat-SSOR Preconditioner to Realistic Stress Analysis Problem by Parallel Cache-Cache Computing Kuniyoshi Abe1, Seiji Fujino2 1Faculty of Economics and Information, Gifu Shotoku University, Japan; 2Professor Emeritus, Kyushu University, Japan Communication avoiding Neumann expansion preconditioner for LOBPCG method: Convergence property of exact diagonalization method for Hu...