MATH-6330 - Numerical Methods oed answer key

Showing 141 to 160 of 256 total answers.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Secant method is categorized as bracketing method because it uses two points of the secant as initial values.

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Secant method replaces the tangent in Newton’s method to the slope of the function using two initial guesses.

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

For the function f(x) = ex-2 the next approximated value of the root when x0 = -1 and x1 = 1 is x2 = 0.98626.

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

In using Gauss-Jordan method if a matrix has at least one zero row with non-zero right hand side, the solution

Answer

Doesn't exist

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The coefficients of the Newton's interpolating polynomial can also be expressed in terms of divided difference

Answer

True

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Which of the following is true about the systems of linear equation?x + 6y + 3 = 0x + 2y + 4 = 84x + y + z = 4

#MATH-6330
Awesome StudentQuestion • Numerical Methods

For both the Trapezoidal and Simpson's 1/3 rule , using more strips will give better approximation of the curve

#MATH-6330
Awesome StudentQuestion • Numerical Methods

If a matrix has its entire diagonal elements are positive, then the real parts of its eigenvalues are negative.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

One of the advantages of Newton’s method is that its converges fast even if the initial guess was poorly chosen

#MATH-6330
Awesome StudentQuestion • Numerical Methods

One of the advantages of using mathematical modeling is the ability to predict an output given a certain input.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

Roots of transcendental functions are easily approximated using Newton's method provided that f'(x) =E2=89=A0 0

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The characteristic polynomial involves the calculation of zeros. These values of the roots are the eigenvalues.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

One of the disadvantages of this method is that it can jump to a value away from the rooth if the slope is small

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The complexity of sorting algorithm measures the running time as a function of the number n of items to be sorter

#MATH-6330
Awesome StudentQuestion • Numerical Methods

For an interval of 0 to 1, a subinterval with a size of 02 will give n = 5 described as 5 segment Trapezoidal rule

#MATH-6330
Awesome StudentQuestion • Numerical Methods

In matrix multiplication if the number of columns of the 1st matrix is equal to the number of rows of the 2nd one,

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The part where the derivative of the Newton-Raphson was replaced by the slope of the secant line in Secant method.

#MATH-6330
Awesome StudentQuestion • Numerical Methods

A matrix decomposition method that has an upper triangular matrix and an orthogonal matrix is referred to as the QR

#MATH-6330
Awesome StudentQuestion • Numerical Methods

The elements of both the coefficient matrix and determinant are the same, and so is their the mathematical concept.

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