In this paper, the well-known Cholesky Algorithm (for solving simultaneous linear\nequations, or SLE) is re-visited, with the ultimate goal of developing a simple, userfriendly,\nattractive, and useful Java Visualization and Animation Graphical User Interface\n(GUI) software as an additional teaching tool for students to learn the Cholesky\nfactorization in a step-by-step fashion with computer voice and animation. A\ndemo video of the Cholesky Decomposition (or factorization) animation and result\ncan be viewed online from the website:\nhttp://www.lions.odu.edu/~imako001/cholesky/demo/index.html. The software tool\ndeveloped from this work can be used for both students and their instructors not\nonly to master this technical subject, but also to provide a dynamic/valuable tool for\nobtaining the solutions for homework assignments, class examinations, self-assessment\nstudies, and other coursework related activities. Various transportation engineering\napplications of SLE are cited. Engineering educators who have adopted\nââ?¬Å?flipped class-room instructionââ?¬Â can also utilize this Java Visualization and Animation\nsoftware for students to ââ?¬Å?self-learningââ?¬Â these algorithms at their own time (and\nat their preferable locations), and use valuable class-meeting time for more challenging\n(real-life) problemsââ?¬â?¢ discussions. Statistical data for comparisons of studentsââ?¬â?¢\nperformanc
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