Somnath posted an Question
August 23, 2020 • 16:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

8.2.3 newton formm a more generalized form of the shifted power form is newton form p(x)=a, +a,(x-c)+a,(x-c,)(x-c,)+..+a, (x-c(x-c)(x-c,) this form plays a vita

8.2.3 Newton Formm A more generalized form of the shifted power form is Newton form P(x)=a, +a,(x-c)+a,(x-c,)(x-c,)+..+a, (x-c(x-c)(x-c,) This form plays a vital role in the interpolation theory. Newton form becomes shifted power form for the values c, =c, =...c, = C, and further power form for the value c = 0. 8.2.4 Nested Newton Form In Newton form of the polynomial of degree n, the total number of multiplications and additions are "(n+1) and n+ n(n+1) , respectively. It will be better to use the following 2 2 nested Newton form to minimize the number of arithmetic operations.

1 Answer(s) Answer Now
  • 0 Likes
  • 5 Comments
  • 0 Shares
  • Somnath Jana

    i only want to know how addition is n(n+1)/2 and multiplication is n+n(n+1)/2?

  • Somnath Jana

    how the total number of addition and multiplication counts here?

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers