The Lagrange’s formula can be used to obtain a ____________________

Bound on the error of interpolating polynomial

Numerical methods for solving linear algebraic system may be divided into two types, what are the types?

Direct and Iterative

If P(x) is a polynomial of degree \\(n>1\\) and \\(a_n\\neq 0\\), then P(x) has possible solutions as

Real or complex number

To understand the numerical methods for solving linear system of equations, it is necessary to have some knowledge of the properties of__________

Matrices

The method of determining an approximate value of f(x) for a non-tabular value of x which lies in the internal [a, b] is called?

Interpolation

If \\(f(x)=x^3\\) find the value of \\(f[a, b, c]\\)

\\(a+b+c\\)

Obtain the value of x when \\(y=3\\) from the values of \\(x=4, 7, 10, 12\\) corresponding to the values of \\(y=-1, 1, 2, 4\\)

23.1213

The values of \\(f(x)\\) at the given \\((n+1)\\) distinct point is called

Abscissas

In a finite difference, the error increases with the order of _____

Differences

If \\(f(x)=2x^3+3x^2-x+1\\), find \\(f[1,-1,2,3]\\)

2

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