- 10-126.96.36.199: Use the method of Steepest Descent with TOL = 0.05 to approximate t...
- 10-188.8.131.52: Use the method of Steepest Descent with TOL = 0.05 to approximate t...
- 10-184.108.40.206: Use the results in Exercise 1 and Newtons method to approximate the...
- 10-220.127.116.11: Use the results of Exercise 2 and Newtons method to approximate the...
- 10-18.104.22.168: Use the method of Steepest Descent to approximate minima to within ...
- 10-22.214.171.124: a. Show that the quadratic polynomial P() = g1 + h1 + h3( 2) interp...
Solutions for Chapter 10-4: Steepest Descent Techniques
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
Addition property of equality
If u = v and w = z , then u + w = v + z
The case in which two sides and a nonincluded angle can determine two different triangles
Measure of the clockwise angle that the line of travel makes with due north
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.
Directed line segment
Side opposite the right angle in a right triangle.
See Power function.
Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ
Angle measure equal to 1/60 of a degree.
Mode of a data set
The category or number that occurs most frequently in the set.
Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.
The movement of an object that is subject only to the force of gravity
An angle in standard position whose terminal side lies on an axis.
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.
Zeros of a function that are real numbers.
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.