lmdemo.m File Reference

Functions
id	long ()
	disp ('Exponential model fitting(see also ../expfit.c)')
popt Meyer	s (reformulated) problem p0
	x (1:4)
	x (5:8)
	x (9:12)
	x (13:16)
	disp ('Meyer' 's(reformulated) problem')
	disp ('Osborne' 's problem')
id	p0 ()
	disp ('Boggs-Tolle problem 3')
	disp ('Hock-Schittkowski problem 01')
	disp ('Hock-Schittkowski modified problem 52(#1)')
	disp ('Hock-Schittkowski modified problem 235')
	disp ('Hock-Schittkowski modified problem 76')

Variables
Unconstrained minimization fitting the exponential model	x_i
	x
	options =[1E-03, 1E-15, 1E-15, 1E-20, 1E-06]
arg demonstrates additional data passing to expfit jacexpfit	arg =[40]
	arg1 =[17]
	arg2 =[27]
popt Osborne s problem	p0 =[0.5, 1.5, -1.0, 1.0E-2, 2.0E-2]
	adata =[]
	A =[1.0, 3.0, 0.0, 0.0, 0.0
	b =[0.0, 0.0, 0.0]'
	lb =[-realmax, -1.5]
	ub =[realmax, realmax]
popt	Box
	C =[-1.0, -2.0, -1.0, -1.0
	d =[-5.0, -0.4]'

Function Documentation

disp() [1/8]

disp

(

'Exponential model fitting(see also ../expfit.c)'

)

disp() [2/8]

disp

(

'Meyer' 's(reformulated) problem'

)

disp() [3/8]

disp

(

'Osborne' 's problem'

)

disp() [4/8]

disp

(

'Boggs-Tolle problem 3'

)

disp() [5/8]

disp

(

'Hock-Schittkowski problem 01'

)

disp() [6/8]

disp

(

'Hock-Schittkowski modified problem 52(#1)'

)

disp() [7/8]

disp

(

'Hock-Schittkowski modified problem 235'

)

disp() [8/8]

disp

(

'Hock-Schittkowski modified problem 76'

)

long()

id long ( )

virtual

p0()

id p0 ( )

virtual

s()

popt Meyer s

(

reformulated

)

x() [1/4]

x

(

1:4

)

x() [2/4]

x

(

5:8

)

x() [3/4]

x

(

9:12

)

x() [4/4]

x

(

13:16

)

Variable Documentation

A

A =[1.0, 3.0, 0.0, 0.0, 0.0

adata

adata =[]

arg

arg demonstrates additional data passing to expfit jacexpfit arg =[40]

arg1

arg2 demonstrate additional dummy data passing to meyer jacmeyer arg1 =[17]

arg2

arg2 =[27]

b

b =[0.0, 0.0, 0.0]'

Box

popt Box

C

C =[-1.0, -2.0, -1.0, -1.0

d

d =[-5.0, -0.4]'

lb

lb =[-realmax, -1.5]

options

options =[1E-03, 1E-15, 1E-15, 1E-20, 1E-06]

p0

popt linear equation &inequality constraints p0 =[0.5, 1.5, -1.0, 1.0E-2, 2.0E-2]

ub

ub =[realmax, realmax]

x

x

Initial value:

=[5.8728, 5.4948, 5.0081, 4.5929, 4.3574, 4.1198, 3.6843, 3.3642, 2.9742, 3.0237, 2.7002, 2.8781,...
   2.5144, 2.4432, 2.2894, 2.0938, 1.9265, 2.1271, 1.8387, 1.7791, 1.6686, 1.6232, 1.571, 1.6057,...
   1.3825, 1.5087, 1.3624, 1.4206, 1.2097, 1.3129, 1.131, 1.306, 1.2008, 1.3469, 1.1837, 1.2102,...
   0.96518, 1.2129, 1.2003, 1.0743]

x_i

Unconstrained minimization fitting the exponential model x_i

Initial value:

=p(1)*exp(-p(2)*i)+p(3) of expfit.c to noisy measurements obtained with (5.0 0.1 1.0)
p0=[1.0, 0.0, 0.0]