Recent questions tagged numerical-methods

The $\text{LU}$ factorization requires:$\dfrac{n^{3}}{6}-\dfrac{n}{5}$ multiplication/division$\dfrac{n^{3}}{3}-\dfrac{n^{2}}{2}+\dfrac{n}{6}$ addition/subtraction$\dfrac...

The approximate value of integral $\int_{0}^{1}(3 x+7) d x$ by trapezoidal rule of the step size $0.0001$ is ________.$\frac{3}{2}$$7$$\frac{17}{2}$None of the options

Solve the following system using Gauss seidal iterative method with initial guess (0, 0, 0) and tolerance 0.001.$\left\{\begin{matrix} 2x_{1}-3x_{2}+x_{3} = 5\\ x_{1}+4x_...

Use Secant method to find roots of:$x^3-2x^2+3x-5=0$$x+1 = 4sinx$$e^x = x + 2$

Use NR method to find a root of the equation with tolerance x=0.00001.$x^3-2x-5=0$$e^x-3x^2=0$

Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$

Use Bisection method to find the root of the following equation with tolerance 0.001.$x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$$x^3 – e^x + sin(x) = 0$

One root of $x^{3} – x – 4 = 0$ lies in $(1, 2).$ In bisection method, after first iteration the root lies in the interval ___________ .$(1, 1.5)$$(1.5, 2)$$(1.25, 1.75)$...

The real root of the equation $x^{3} – x – 5 = 0$ lying between $1$ and $2$ after first iteration by Netwon-Raphson method is ___________, if initial approximation is tak...