July 2008 - cypherpunks-legacy

Re: Solving non homogeneous linear equations
by Sarad AV 12 Jul '08

12 Jul '08

If all the operators are positive, it wouldn't have infinite solutions either. e.g. all equations are of the form a1 x1 + a2 x2 + ... + am xm = b1 am interested in this particular case. Thanks, Sarad. --- On Sat, 7/12/08, Sarad AV <jtrjtrjtr2001(a)yahoo.com> wrote: > From: Sarad AV <jtrjtrjtr2001(a)yahoo.com> > Subject: Solving non homogeneous linear equations > To: cypherpunks(a)al-qaeda.net > Date: Saturday, July 12, 2008, 3:54 PM > hi, > > Consider a system of linearly independent, non-homogeneous > system of m linear equations in m unknowns having a unique > solution. > > We can solve for the unknowns by Gaussian Elimination in > O(n^3); n the number of linear equations in the system; > given all the m equations. > > Is there a solution better than brute force, when there are > say m-1 equations and m unknowns? > > Thanks, > Sarad.

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Solving non homogeneous linear equations
by Sarad AV 12 Jul '08

12 Jul '08

hi, Consider a system of linearly independent, non-homogeneous system of m linear equations in m unknowns having a unique solution. We can solve for the unknowns by Gaussian Elimination in O(n^3); n the number of linear equations in the system; given all the m equations. Is there a solution better than brute force, when there are say m-1 equations and m unknowns? Thanks, Sarad.

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