Y Show f has only 1 Find ** and prove ** ) 2/ Find X (0) ER² where descent algorithm applied X(0) will B Find the initial pont minimizer X10** 10 is local min. Converge to x* ** ER². Sit, steepest f using initial point ได one step. X(0) one iteration of steepest descent with X (1) = x* 3/ Let there exist dio) = (i). Find d (¹) ER² and dill to siti d (0) and d") are Q- Conjugate. Use 2-iteration of Conjugate - Direction method applied to f initial point using X₁07 = (3) and X10) Q-conjugate & den directions di loj
Y Show f has only 1 Find ** and prove ** ) 2/ Find X (0) ER² where descent algorithm applied X(0) will B Find the initial pont minimizer X10** 10 is local min. Converge to x* ** ER². Sit, steepest f using initial point ได one step. X(0) one iteration of steepest descent with X (1) = x* 3/ Let there exist dio) = (i). Find d (¹) ER² and dill to siti d (0) and d") are Q- Conjugate. Use 2-iteration of Conjugate - Direction method applied to f initial point using X₁07 = (3) and X10) Q-conjugate & den directions di loj
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Minimization of
Q = ( ²₁1 )
2
12
y
)
Show f has only 1
Find x*
and prove **
function ex) = {xTQx-xTb over R²
b = [( 3² )
X= [X₁ X₂]T ERZ
X2
ER²
)
2/ Find X (os ER²
X(0)
where
descent algorithm applied
will
B Find the initial pont
minimizer
x*
X* ER².
is local min.
xius $x*
to
Converge to x*
Sit, steepest
f using initial point
one step.
(n
x(0)
steepest descent
one iteration of
X (1) =
**
with
3/ Let there exist dio) = (ů). Find d (1) ERZ²
and d" to
d (0) and d") are
sit.
Q- Conjugate.
Use 2-iteration of
Conjugate - Direction method applied to f
using
initial point X107 = [33) and
Q- conjugate directions diloj
& den](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e71c6f0-fdac-4001-9095-2485c121cf1d%2F5d8a1cd9-4a3b-44af-b40c-582dc369a440%2Fwp0uo3m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Minimization of
Q = ( ²₁1 )
2
12
y
)
Show f has only 1
Find x*
and prove **
function ex) = {xTQx-xTb over R²
b = [( 3² )
X= [X₁ X₂]T ERZ
X2
ER²
)
2/ Find X (os ER²
X(0)
where
descent algorithm applied
will
B Find the initial pont
minimizer
x*
X* ER².
is local min.
xius $x*
to
Converge to x*
Sit, steepest
f using initial point
one step.
(n
x(0)
steepest descent
one iteration of
X (1) =
**
with
3/ Let there exist dio) = (ů). Find d (1) ERZ²
and d" to
d (0) and d") are
sit.
Q- Conjugate.
Use 2-iteration of
Conjugate - Direction method applied to f
using
initial point X107 = [33) and
Q- conjugate directions diloj
& den
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