iterative

  1. K

    Iterative refinement?

    Can anyone kindly explain to me how to carry out the iterative refinement technique on a system of linear equations? Thank you! 6x1 + 7x2 + 8x3 = 21 7x1 + 8x2 + 9x3 = 24 8x1 + 9x2 + 9x3 = 26
  2. K

    Iterative refinement?

    Can anyone kindly explain to me how to carry out the iterative refinement technique on a system of linear equations? Thank you! 6x1 + 7x2 + 8x3 = 21 7x1 + 8x2 + 9x3 = 24 8x1 + 9x2 + 9x3 = 26
  3. T

    Urgen! Iterative formula

    Use the iterative formula x{n+1}=(1-x{n})/(cosx{n}) (the x{n+1} and x{n} is the n+1 th and the n th term of the sequence) a) with x1=0.5 find the limit of the sequence x1, x2,... correct to 2 decimal places b) Find the equation to which the limiting value of the sequence is a solution c) With...
  4. S

    Iterative calculations

    Hey, does anybody know a rule to find the limit of a series based on iterative calculations? I mean: A = 0,5 B B = 3 A When the number of iteractions = infinite, what will be the values of A and B?
  5. N

    Show that Newton's method applied to x^n - c = 0 produces the iterative scheme...

    Show that Newton's method applied to x^{n} - c = 0 (where n and c are positive constants) produces the iterative scheme x_{n+1} =\frac{1}{n}[(n-1)x_n + cx_n^{1-n}] for approximating c^{\frac{1}{n}}. We learned Newton's method, but we haven't applied it to "schemes" and my teacher told us to look...
  6. M

    choice of iterative method!

    I have to solve Ax=b,conjugate gradient was on my mind,but A is not positive definite,so for a sparse matrix which is the good solution in this case?Gauss Seidel?I do not have to much time, I need to write a program.
  7. J

    what are they asking? logstic iterative

    The problem is in the attachment. I have to do this in Matlab and I did. The previous problem gave me the logistic iterative equation y(k+1) = r(1-y(k))y(k) i need help with understanding the two questions posted. What are they asking? Can someone clarify the questions for me, please...
  8. C

    Root finding and convergence of iterative formulas

    Given f(x)=x^3-x-1, find the root between 1 and 1.5 with these iterative schemes: i) x_{n+1}={x_n}^3-1 ii)x_{n+1}=\frac{1}{{x_n}^2-1} iii)x_{n+1}=(x_n+1)^{\frac{1}{3}} I wrote a simple code in C for all 3 methods and checked with the answer obtained using Newton-Raphson's which yields 1.32472...
  9. M

    Proving an iterative sequence converges to a limit

    The sequence is: a(n+1)=4+2(a(n))^(1/3) with a(1)=1 Computing this clearly shows the sequence converges to 8, but how do I prove this? In earlier parts I have already proved the sequence is bounded, and increasing, so that proves that the sequence does converge, but now I need to prove what...
  10. A

    Iterative Map Orbit Generator

    I was wondering if anyone knew of a program that could generate the orbit of an iterative map. I would want to input an iterative map (preferably my system would consist of more than 1 map, at least 2 maps) and I would want the program to generate the subsequent iterations (tens of thousands...
  11. S

    iterative

    i) describe briefly the 'iterative' approach to solving equations ii) name two iterative methods just started looking at the above can anyone answer the question very breifly
  12. L

    Iterative Methods Convergence (Linear Systems)

    I am studying for my last Qualifying exam and came across two related problems that I can't seem to solve, both are Iterative Methods for Linear Systems. Given A is a strictly diagonally dominant matrix, then show that the Gauss Seidel and Jacobi methods converge. Jacobi: Let A = D + R where...
  13. R

    Program for Jacobi iterative method using Matlab.

    Hi All I need a program for Jacobi iterative method (Jacobin method for solving linear system)using Mat-lab program ,specially I need to programing the following summation and I need to know how to do the summation such that i not equal j in mat-lab Thanks for all
  14. A

    Iterative Techniques: Studying the error

    Hello I'm trying to answer this question, but am completely stuck. Argue that in analyzing the error in a stationery linear relaxation scheme applied to Au=f, it is sufficient to consider Au=0 with arbitrary initial guess, (say v_0). Any ideas? I'm not even sure what the author is trying...
  15. S

    Rate of Convergence for iterative method.

    Let an iterative solution of a system of linear equations be defined by... x^{(k+1)} = Gx^{(k)} + c, k = 1, 2, ... G = \left[ \begin{array}{cccc} 0.08 & 0 & 0.05 \\ 0.04 & 0.1 & 0.02 \\ 0 & 0 & 0.08 \end{array} \right] Determine the rate of convergence for the iterative method and...
  16. G

    Iterative Formula

    Solve the equation 2ln5x - 3 = 0, giving your awnser to three decimal places. Struggling to derive a formula, cant say im confident in what I have derived, also how do you choose a suitable value to start of with.
  17. Maccaman

    MATLAB Iterative Methods: URGENT

    Hi there, I think that MATLAB is the most annoying program in the world. So it is unfortunate that I have to keep using it for one of my subjects. I'm having problems with this question that I have to do. Its long and painful, however, I have done most of it but its not working out for me...
  18. S

    Iterative methods

    Hello, I am not a math major but an ocean scientist. I am trying to solve an equation for wave motion under water and I need help. I would like to use Matlab to solve for a variable using an iterative approach but I have to understand what that really means before I do that. The equation...
  19. S

    Iterative methods

    Hello, I am not a math major but an ocean scientist. I am trying to solve an equation for wave motion under water and I need help. I would like to use Matlab to solve for a variable using an iterative approach but I have to understand what that really means before I do that. The equation...
  20. V

    Recurrence relations - Iterative Method

    Could somebody please solve y_t+1=0.5y_t+3 for me by using the iterative method (t=0,1,2 & 3 - please write down every step)? I don't understand it! (Worried) I thank you in advance.