MATH-6330 - Numerical Methods oed answer key
Showing 201 to 220 of 256 total answers.
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Awesome StudentQuestion • Numerical Methods
An integral expressed as the difference between the values of the integral at specified upper and lower limits of the independent variable
Answer
definite integral
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Awesome StudentQuestion • Numerical Methods
If the magnitude of the diagonals is greater than the sum of the non-diagonals in the same row, then the matrix is not diagonally dominant.
Answer
True
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Awesome StudentQuestion • Numerical Methods
In the factorization A = LU the matrix L is lower triangular and the matrix U is upper triangular, it is called Doolittle factorization when
Answer
U is unit upper triangular
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Awesome StudentQuestion • Numerical Methods
Using Newton's interpolation, with data given below compute for f(15)x0 = 0 f(x0) = 2x1 = 3 f(x1) = 7x2 = 5 f(x2) = 9The solution of Y(15)=48
Answer
True
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Awesome StudentQuestion • Numerical Methods
A continuous function's integral is approximated using either the trapezoidal or Simpson's rule by translating the function into discrete form
Answer
True
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Awesome StudentQuestion • Numerical Methods
In employing Gauss-Seidel method, the most recent values should be used to substitute with the formula of finding x1, x2 and x3, respectively.
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Awesome StudentQuestion • Numerical Methods
The essential features of a physical system or process in mathematical terms should be carried out in the formulation of a mathematical model.
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Awesome StudentQuestion • Numerical Methods
Triangular matrix is a square matrix in which all of the elements on one side of the main diagonal are zero The remaining elements should have
#MATH-6330
Awesome StudentQuestion • Numerical Methods
Using Lagrange interpolation, with data given below compute for f(15)x0 = 0 f(x0) = 2x1 = 3 f(x1) = 7x2 = 5 f(x2) = 9the solution is f(15) = 48
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Awesome StudentQuestion • Numerical Methods
If matrix A gives the largest eigenvalue, it suggests that if A -1 exists, the smallest eigenvalue can be obtained through inverse power method.
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Awesome StudentQuestion • Numerical Methods
In most cases, __________ is suitable to linear behaving functions and that polynomial interpolation is suitable to non-linear behaving function
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Awesome StudentQuestion • Numerical Methods
Some elementary functions simply do not have antiderivatives that are_______________ where Trapezoidal and Simpson's 1/3 rule can be more useful
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Awesome StudentQuestion • Numerical Methods
In using smaller integration interval for multiple segments, Trapezoidal method can reduce the approximation error better than Simpson's 1/3 rule
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Awesome StudentQuestion • Numerical Methods
Rate of growth of errors are needed to be identified, especially when dealing with iterative methods as this might affect the solution in general.
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Awesome StudentQuestion • Numerical Methods
Direct method for finding the eigenvalues is recommended since the calculation of zeros of a polynomial is numerically challenging if not unstable.
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Awesome StudentQuestion • Numerical Methods
Since matrices are used to represent properties of images, it follows that transformation of images may use eigenvalues and eigenvectors to do that.
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Awesome StudentQuestion • Numerical Methods
Using Newton's interpolation, with data given below to compute for f(15)x0 = 0 f(x0) = 2x1 = 3 f(x1) = 7x2 = 5 f(x2) = 9The second ordervalue is 1/3
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Awesome StudentQuestion • Numerical Methods
Each component of the new iterates in Gauss-Seidel method depends upon all previously computed components, the updates cannot be done simultaneously.
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Awesome StudentQuestion • Numerical Methods