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Title: Stability Analysis of the Fast Matrix Multiplication Algorithm
Authors: CHEONG, HIO CHENG(張曉晴)
Department: Department of Mathematics
Faculty: Faculty of Science and Technology
Keywords: Forward Error Analysis
Strassen’s method
Strassen-Winograd method
Laser method
Stability Analysis
Issue Date: May-2023
Citation: Cheong, H. C. (2023). Stability Analysis of the Fast Matrix Multiplication Algorithm (Outstanding Academic Papers by Students (OAPS)). Retrieved from University of Macau, Outstanding Academic Papers by Students Repository.
Abstract: This study focuses on the fast matrix multiplication algorithm. Numerical stability is the most crucial analysis for computation to obtain accurate results in scientifc research. Go through the timeline of fast matrix multiplication algorithms, and based on the current matrix multiplication algorithms, study the main idea of these algorithms, and analyze these algorithms’ stability in computation. The principal important part is using the forward error analysis to examine the matrix multiplication algorithm. Furthermore, simulate the stability of Strassen’s method and the Strassen-Winograd method by using C++ language.
Instructor: Prof. Ieng Tak LEONG
Programme: Bachelor of Science in Mathematics
Appears in Collections:FST OAPS 2023

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