数值科学计算

ECS 130 Final Project Report Guideline Project report consists of five components: background, aim(s), method(s), and conclusion(s), and may organized as follows: Title and Author(s) (ID and email address) Abstract (summary, few sentences to highlight major issues and findings) Introduction (background etc) Related definitions, concepts and theory Algorithm(s) Discussion on implementation issues, such as functions […]

ECS 130 Mini-Project Assignment Due 4:00pm, March 6, 2017 Rank deficiency and ill-conditioned LS problems Read Sections 5.6 Pseudoinverse Read Sections 5.7 Rank deficiency Read Section 10.1 Eigenvalue and singular value decomposition Read Handout F Work out Problem 5.6 Solve “Shaw problem (shaw.m)” by pseudoinverse and singular value decomposition Write a study report by including the following components: Title

ECS130 Homework Assignment #2 Due: 4:00pm, Feburary 3, 2017 1. A real symmetric matrix A = AT is positive definite if any of the following equivalent condi- tions hold: The quadratic form xT Ax > 0 for all nonzero vectors x. All determinants formed from submatrices of any order centered on the diagonal of A

ECS130 Homework Assignment #1 Due: 4:00pm, January 23, 2017 (a) Derive, mathematically, the back substitution method for solving the upper trian- gular linear system Ux = b using componentwise, row-oriented and column-oriented algorithms, respectively. (b) Write three MATLAB functions: x = mybscomponent(U,b) x = mybsrow(U,b) x = mybscolumn(U,b) for the componentwise, row-oriented and column-oriented algorithms,