Math467MidtermProject:
OptimizationofaReparableMultiStateSys
tem
YueXu
JiaoWu
Agenda
Problem
Methodology
Result
Problem
Assumptions
(1)Thefailureratesareconstant;
(2)Allfailuresarestatisticallyindependent;
(3)Thereisonlyonemodeoffailureand0implies
the
Ryan Zhou
Math 467 Project 2
Code Overview:
For part one, we implement basic simplex method.
First check if b is negative, if so then output invalid entry
Now calculate Rk, if all values are zero then output infinite solutions. If Rk is all positiv
Vector/Matrix Norms and Iterative Linear Solvers
Daniel R. Reynolds
SMU Math3315/CSE3365, Spring 2010
In these notes we will introduce the ideas of vector and matrix norms, which can be used to
measure the size of vectors and matrices. With these tools, w
Homework #1
Due: 9-01-2016
Textbook: p. 22, problems 2.1, 2.2, 2.3.
Additional problem
1. Let and be vector spaces of dimension and , respectively. Let be a
linear transformation from into . Then dim
Homework #3
Due: Thursday, September 15, 2016
1. Show that a continuous function : ! where is a compact subset has
a minimum. (Hint: We have already shown that is bounded from below.
That is
inf
!
exis