Modified Richardson iteration












0












$begingroup$


Modified Richardson iteration is an iterative method for solving a system of linear equations.



Analytical formula is:



$x^{k+1}$ = $x^k$+$omega(b - Ax^k)$



Is this element based formula correct??



$x_i^{k+1}$ = $x_i^k$ + $omega(b_i - sumlimits_{j=1}^n A_{ij}*x_j^k)$










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    Modified Richardson iteration is an iterative method for solving a system of linear equations.



    Analytical formula is:



    $x^{k+1}$ = $x^k$+$omega(b - Ax^k)$



    Is this element based formula correct??



    $x_i^{k+1}$ = $x_i^k$ + $omega(b_i - sumlimits_{j=1}^n A_{ij}*x_j^k)$










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      Modified Richardson iteration is an iterative method for solving a system of linear equations.



      Analytical formula is:



      $x^{k+1}$ = $x^k$+$omega(b - Ax^k)$



      Is this element based formula correct??



      $x_i^{k+1}$ = $x_i^k$ + $omega(b_i - sumlimits_{j=1}^n A_{ij}*x_j^k)$










      share|cite|improve this question











      $endgroup$




      Modified Richardson iteration is an iterative method for solving a system of linear equations.



      Analytical formula is:



      $x^{k+1}$ = $x^k$+$omega(b - Ax^k)$



      Is this element based formula correct??



      $x_i^{k+1}$ = $x_i^k$ + $omega(b_i - sumlimits_{j=1}^n A_{ij}*x_j^k)$







      matrices matrix-equations






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 27 '18 at 18:20







      No Name

















      asked Dec 16 '18 at 16:29









      No NameNo Name

      475




      475






















          0






          active

          oldest

          votes












          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3042796%2fmodified-richardson-iteration%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3042796%2fmodified-richardson-iteration%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          mysqli_query(): Empty query in /home/lucindabrummitt/public_html/blog/wp-includes/wp-db.php on line 1924

          How to change which sound is reproduced for terminal bell?

          Can I use Tabulator js library in my java Spring + Thymeleaf project?