Program to implement Inverse Interpolation using Lagrange Formula
Given task is to find the value of x for a given y of an unknown function y = f(x) where values of some points… Read More »
Tag Archives: Algebra
Program to implement Linear Extrapolation
What is Extrapolation? Extrapolation is the process in mathematics where the required value is estimated beyond the range the of the given variable range. Extrapolation… Read More »
Predictor-Corrector or Modified-Euler method for solving Differential equation
For a given differential equation with initial condition find the approximate solution using Predictor-Corrector method. Predictor-Corrector Method : The predictor-corrector method is also known as… Read More »
Find two numbers with sum and product both same as N
Given an integer N, the task is to find two numbers a and b such that a * b = N and a + b… Read More »
Program to evaluate the expression (√X+1)^6 + (√X-1)^6
Given a number . The task is to find the value of the below expression for the given value of . Examples: Input: X =… Read More »
Equation of parabola from its focus and directrix
We are given focus(x, y) and directrix(ax + by + c) of a parabola and we have to find the equation of parabola using its… Read More »
Program to find number of solutions in Quadratic Equation
Given an equation with value a, b, and c, where a and b is any value and c is constant, find how many solutions thus… Read More »
Check if a Matrix is Invertible
In linear algebra, an n-by-n square matrix A is called Invertible, if there exists an n-by-n square matrix B such that where ‘In‘ denotes the… Read More »
System of Linear Equations in three variables using Cramer’s Rule
Cramer’s rule : In linear algebra, Cramer’s rule is an explicit formula for the solution of a system of linear equations with as many equations… Read More »
Newton’s Divided Difference Interpolation Formula
Interpolation is an estimation of a value within two known values in a sequence of values. Newton’s divided difference interpolation formula is a interpolation technique… Read More »
Find n-variables from n sum equations with one missing
You are given an array a[] of n values as a[1], a[2]…a[n] which are part of n-equations in n-variables where equations are as: Eqn1 =>… Read More »
Smallest triangular number larger than p
Given n number of buckets and each bucket is numbered from 1 to n and flowers in it are equal to triangular numbers. You have… Read More »
Program to check if matrix is singular or not
A matrix is said to be singular if the determinant of the matrix is 0 otherwise it is non-singular . Examples: Input : 0 0… Read More »
Program to implement Simpson’s 3/8 rule
Write a program to implement Simpson’s 3/8 rule. The Simpsons’s 3/8 rule was developed by Thomas Simpson. This method is used for performing numerical integrations.… Read More »
Program for Simpson’s 1/3 Rule
In numerical analysis, Simpson’s 1/3 rule is a method for numerical approximation of definite integrals. Specifically, it is the following approximation: In Simpson’s… Read More »