Eigenvector of Hess Matrix (Optimisation problem)












0












$begingroup$


I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



    https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



    Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



      https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



      Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










      share|cite|improve this question









      $endgroup$




      I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



      https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



      Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks







      linear-algebra optimization eigenvalues-eigenvectors hessian-matrix






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 3 at 17:07









      JungJung

      12




      12






















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          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%2f3060783%2feigenvector-of-hess-matrix-optimisation-problem%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%2f3060783%2feigenvector-of-hess-matrix-optimisation-problem%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

          Ellipse (mathématiques)

          Quarter-circle Tiles

          Mont Emei