Back to Forum | View unanswered posts | View active topics





Post a reply
Username:
Note:If not registered, provide any username. For more comfort, register here.
Subject:
Message body:
Enter your message here, it may contain no more than 60000 characters. 

Smilies
:D :) :( :o :shock: :? 8) :lol: :x :P :oops: :cry: :evil: :twisted: :roll: :wink: :!: :?: :idea: :arrow: :| :mrgreen:
Font size:
Font colour
Options:
BBCode is ON
[img] is ON
[flash] is OFF
[url] is ON
Smilies are ON
Disable BBCode
Disable smilies
Do not automatically parse URLs
Confirmation of post
To prevent automated posts the board requires you to enter a confirmation code. The code is displayed in the image you should see below. If you are visually impaired or cannot otherwise read this code please contact the %sBoard Administrator%s.
Confirmation code:
Enter the code exactly as it appears. All letters are case insensitive, there is no zero.
   

Topic review - Solving singular matrix quadratic form using Groebner basis
Author Message
sc719
  Post subject:  Solving singular matrix quadratic form using Groebner basis  Reply with quote
(Previous Post modified)
As an economist who is not familiar with math and singular, I've been struggling to find a general way of solving the following type of problems. I really hope that someone can help me out.

Def: A_ij, B_j are n by n real-valued matrices - may well be singular.
Question: Solve for all solutions for (X1,X2) to the following system of multivariate matrix quadratic form using Groebner basis.

===========================
A_11*X1^2 + A12*X2*X1 - X1 + B1 = 0;
A_21*X1*X2 + A22*X2^2 -X2 + B2 = 0;
===========================

Ideally, I want to have a matlab code for this problem, only to fail. I used the built-in vpasolve.m. It didn't work.
So can anyone write a sample code for this in Singular and show how to run the code?

Solving this problem is so important to my research.
Thank you
Post Posted: Fri Mar 01, 2019 6:46 pm


It is currently Fri May 13, 2022 10:54 am
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group