Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 12.2, Problem 1CP
a.
To determine
Apply the shifted QR algorithm to matrix ‘a’.
b.
To determine
Apply the shifted QR algorithm to matrix ‘b’.
c.
To determine
Apply the shifted QR algorithm to matrix ‘c’.
d.
To determine
Apply the shifted QR algorithm to matrix ‘d’.
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Can you prove that P(a,b) >= P(a',b) for a >= a' >= b >= 0
Figure 1 Simulation structure diagram for a turbine cold-end system.
approximated by the two fourth degree polynomial equations as follows:
The turbine "cold-and" system generally consists of turbine exhaust and condenser, and cooling tower
(Fig. 1). For a 250 MW unit, the turbine performance data with the maximum steam throttle flow can be
NHR
NEW
NHR
Turbine
and
NHR = −45.19(CP)* + 420(CP)® – 1442(CP)2 + 2248(CP) +6666 (a)
NKW = 4,883(CP)* – 44,890(CP)3 + 152,600(CP)2 – 231,500(CP) + 383,400. (b)
The condenser and mechanical-draft cooling tower have the performance equations, respectively,
CP 1.6302-0.50095 x 10-1 (CWT)
OP
Coupling 1
Condenser
CR
WFR
CWT
Coupling 2
WST
Cooling Tower
CR
System Boundary
2
(The circulating water flow is assumed to flow at the rate of 145,000 gpm.)
In addition to the given performance equations give above, we also need two coupling equations to
complete the mathematical model for this cooling system. The first equation is the coupling between the…
Chapter 12 Solutions
Numerical Analysis
Ch. 12.1 - Find the characteristic polynomial and the...Ch. 12.1 - Find the characteristic polynomial and the...Ch. 12.1 - Prob. 3ECh. 12.1 - Prove that a square matrix and its transpose have...Ch. 12.1 - Assume that A is a 33 matrix with the given...Ch. 12.1 - Assume that A is a 33 matrix with the given...Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Let A=[ 1243 ] . (a) Find all eigenvalues and...Ch. 12.1 - Let A=[ 2113 ] . Carry out the steps of Exercise 9...
Ch. 12.1 - If A is a 66 matrix with eigenvalues -6, -3, 1, 2,...Ch. 12.1 - Prob. 1CPCh. 12.1 - Prob. 2CPCh. 12.1 - Prob. 3CPCh. 12.1 - Prob. 4CPCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Call a square matrix stochastic if the entries of...Ch. 12.2 - Prob. 5ECh. 12.2 - (a) Show that the determinant of a matrix in real...Ch. 12.2 - Decide whether the preliminary version of the QR...Ch. 12.2 - Prob. 8ECh. 12.2 - Prob. 1CPCh. 12.2 - Prob. 2CPCh. 12.2 - Prob. 3CPCh. 12.2 - Prob. 4CPCh. 12.2 - Prob. 5CPCh. 12.2 - Prob. 6CPCh. 12.2 - Prob. 7CPCh. 12.2 - Verify the page rank eigenvector p for Figure...Ch. 12.2 - Prob. 2SACh. 12.2 - Prob. 3SACh. 12.2 - Prob. 4SACh. 12.2 - Set q=0.15 . Suppose that Page 2 in the Figure...Ch. 12.2 - Prob. 6SACh. 12.2 - Design your own network, compute page ranks, and...Ch. 12.3 - Find the SVD of the following symmetric matrices...Ch. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - (a) Prove that the ui , as defined in Theorem...Ch. 12.3 - Prove that for any constants a and b, the nonzero...Ch. 12.3 - Prob. 6ECh. 12.3 - Prob. 7ECh. 12.3 - Prove that for any constants a and b, the nonzero...Ch. 12.4 - Use MATLAbS svd command to find the best rank-one...Ch. 12.4 - Prob. 2CPCh. 12.4 - Find the best least squares approximating line for...Ch. 12.4 - Find the best least squares approximating plane...Ch. 12.4 - Prob. 5CPCh. 12.4 - Continuing Computer Problem 5, add code to find...Ch. 12.4 - Use the code developed in Computer Problem 6 to...Ch. 12.4 - Import a photo, using MATLABs imread command. Use...
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