MATH-6330 - Numerical Methods oed answer key

Showing 101 to 120 of 256 total answers.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

In numerical differentiation, using a very small step size may increase the approximation error

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

It is impossible to find the complex roots of a polynomial function, using Newton’s Method” is:

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The iteration may terminate if the difference between approximated values of x is already zero.

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The linear interpolant obtained from the Lagrange interpolating polynomial is of ________degree

Answer

1

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Which of the following is true about the similarities of Cramer's rule and Gauss-Jordan Method?

Answer

Both Cramer's rule and Gauss- Jordan method use augmented matrix

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Creating a mathematical model that will compute the following limit as will produce a result of

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Only four points are needed in constructing a fourth order Newton Divided Difference polynomial,

#MATH-6330
Awesome StudentQuestion • Numerical Methods

This is defined as the high level descriptions of instruction which is intended for human reading

#MATH-6330
Awesome StudentQuestion • Numerical Methods

It iterative technique for solving a square system of n linear equations with unknown x, where Ax=b

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The eigenvalues that corresponds to the characteristic polynomial are λ2-4λ+3 are λ = 1 and λ = -3.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

To measure the efficiency of the algorithm, the space and time efficiency are the important factors

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Among the many applications of matrices are used in statistics, economics, physics, and engineering.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

In the case of the tridiagonal system strict diagonal dominance means simply that (with a0 = an = 0)

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Simpson's 1/3 rule uses a second degree polynomial formed by the two points of the original function

#MATH-6330
Awesome StudentQuestion • Numerical Methods

If A−1 (if it exists) the eigenvalues of A−1 is 1/5, ¼ and ½ if matrix A has eigenvalues 5, 4 and 2.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Just like the Newton-Raphson method, the initial guesses affect the convergence of the Secant method.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Reducing the equidistant points improves the approximation of the function, f(x) by the polynomial, P

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The higher the degree of the resulting polynomial from Lagrange interpolating polynomial implies that

#MATH-6330
Awesome StudentQuestion • Numerical Methods

A mathematical model that will compute the following limit as will readily give _____________ answer.

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