Funwork #4 Solution
1
Exercise 12.10 from TEXT on page 240
y (t) = sin(t + )
a. We can represent the problem as a system of p equations as follows.
y1
y2
=
=
.
.
.
sin(t1 + )
sin(t2 + )
yi
=
.
.
.
=
s
ECE 580
Spring 2011
Midterm #2
March 30, (Wednesday)
Name:
Student ID #:
Problem Weight Score
1
15
2
15
3
15
4
15
5
10
6
15
7
15
Total
100
This is a 50 minute duration exam
There are seven questions
ECE 580
Spring 2009
Funwork #3
Solutions
1. The Taylor series expansion of a function f(x) about x=x0 is
f ( k ) ( x0 )
f ( x0 )
f ( x0 )
f ( x) =
( x x0 ) k = f ( x 0 ) + f ( x0 )( x x0 ) +
( x x0 )
ECE 580
Spring 2004
Midterm #2
Solutions
1. The transfer function, (s)/Va (s), modeling of an armature-controlled dc motor with negligibly small armature inductance is (s) 0.5 . = Va (s) K1 s + K2 The
EE 580
Spring 2001
Midterm #1
February 22, (Thursday) 2001 1. For the function
f = f (x1, x2) = x2x2 + x3x1, 1 2
(a) (3 pts.) nd the gradient of f at x =
T
21
;
T
(b) (3 pts.) nd the rate of increase
ECE 580
Spring 2011
FunWork #4
Due on March 25
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completeness and c
ECE 580
Spring 2011
FunWork #4
Due on March 25
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completeness and c
FunWork 3
ECE 580, Purdue University
March 5, 2011
1
ECE580
1
FunWork: 3
In this assignment, we are confronted with the Peaks function as a testing ground for several
minimization algorithms. There ar
ECE 580
Spring 2011
FunWork #4
Due on March 25
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completeness and c
ECE 580
Spring 2011
FunWork #4
Due on March 25
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completeness and c
ECE 580
Spring 2011
Midterm #2
Solutions
1. Minimize
1
f = (x2 + 2x2 ) x1 + x2 + 7
2
21
using the rank two correction (DFP) method. The starting point is x(0) =
00 .
Answer: Our objective is a quadrat
EE 580
Spring 2001
Midterm #1
February 22, (Thursday) 2001
Solutions
1. For the function
f = f (x1 , x2 ) = x2 x2 + x3 x1 ,
1
2
(a) (3 pts.) nd the gradient of f at x =
T
21
;
(b) (3 pts.) nd the rate
ECE 580
Spring 2013
FunWork #5
Due on April 19 (Friday)
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completen
A Dynamical System Based Method for Solving Linear
Programs
by
Stanislaw H. Zak
March 4, 2013
1
The Solver
An interesting non-simplex method for solving linear programs that combines primal and
dual p
IEEE TRANSACTIONS ON NEURAL NETWORKS, VOL. 5, NO. 1, JANUARY 1994
96
Convergence Analysis of
Canonical Genetic Algorithms
Gunter Rudolph
Abstract- This paper analyzes the convergence properties of
the
ECE 580
Optimization Methods for
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Recursive Least Squares
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March 01, 2013
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Idea Behi
ECE 580
Spring 2013
FunWork #2
Due on February 13
1. Exercise 7.12, page 129 from Textbook.
2. For the function
f (x1 , x2 ) = (x2 x1 )4 + 12x1 x2 x1 + x2 3,
(a) use MATLABs commands meshgrid and mesh
c 2011 Society for Industrial and Applied Mathematics
SIAM J. OPTIM.
Vol. 21, No. 1, pp. 212230
A THREE-TERM CONJUGATE GRADIENT METHOD WITH
SUFFICIENT DESCENT PROPERTY FOR UNCONSTRAINED
OPTIMIZATION
Y
An Introduction to
the Conjugate Gradient Method
Without the Agonizing Pain
Edition 1 1
4
Jonathan Richard Shewchuk
August 4, 1994
School of Computer Science
Carnegie Mellon University
Pittsburgh, PA
ECE 580
Optimization Methods for
Systems and Control
Chapter 10
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February 13, 2013
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Basic Conjugate Direc
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February 08, 2013
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Newtons Me
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ECE 580
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Review of the Grad
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The Objective Function
f :
ECE 580
Spring 2013
FunWork #1
Due on January 25
INSTRUCTIONS: The assignment must be typed. Clearly identify the steps you have
taken to solve each problem. Your grade depends on the completeness and