Course Code
mth213


Question
The zeroeth divided difference of the function f, with respect to \( x_{i} \) denoted by \( f[x_{i}]\) can be written as

Answer
\( f[x_{i}] = f(x_{i})\)



Question
The interpolating polynomial of degree \(\leq n\)with the nodes\(x_{0}, x_{1},\cdots, x_{n}\) can be written as

Answer
\( f[x_{i}] = f(x_{i})\)



Question
Stirling's formula for interpolation is given by

Answer
\(P_n (x) = f (x_0) + \frac{s}{2}[df_\frac{1}{2} + d_\frac{-1}{2}] + \frac{s^2}{2!}d^2f_0\)



Question
When the number of rows is equal to the number of columns in a matrix, it is called _________ matrix

Answer
square



Question
A matrix in which all the non-diagonal elements vanish is called ___________ matrix.

Answer
diagonal



Question
The technique of determining an approximate value of f(x) for a non-tabular value of x which lies in the internal [a, b] is referred to as

Answer
interpolation



Question
One of these describes the Lagrange’s interpolating polynomial P(x)

Answer
\(P(x) = L_{0}(x)f_{0} + L_{1}(x)f_{1} + L_{2}(x)f_{2} + L_{3}(x)f_{3}\)



Question
Iterative methods of the solutions of systems of equations are ________________

Answer
infinite



Question
One of these is a method of solving system of linear equations:

Answer
Inverse method



Question
If all the elements above the main diagonal of a square matrix vanish, the matrix is known as

Answer
lower triangular


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