Recent content by Kosh Naranek
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High School Which is Stronger: Rope of 100k Hairs vs Single Hair?
Depends on how you envision the structure of the giant size hair. A hair does not have a uniform composition, it consists of coaxial layers of different strength. So is reasonable to assume that surface forces contribute significantly to the strength of the hair. Thus if you increase the size...- Kosh Naranek
- Post #8
- Forum: Mechanics
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Graduate Need resources for solving nonlinear matrix equations
Thank you. Perhaps I should mention that I can find a solution using linearization and iteration. The physical origins is in a branch of fluid dynamics. Typically one assume only one solution. However I think that there should be several solutions, at least if |C| is small compared to |A| and |B|.- Kosh Naranek
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad Looking for Matricies with their R-Echelon Forms
Octave (http://octave.sourceforge.net/) will do this for you. Example: 12 > A = randn(5,7) A = -1.168059 1.379002 1.050133 1.174869 0.241811 -1.207374 -0.879474 -1.069804 -0.276065 -0.122203 0.106788 -0.868123 -0.376758 0.843255 -0.254340 1.737628 0.500414...- Kosh Naranek
- Post #2
- Forum: Linear and Abstract Algebra
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Graduate Need resources for solving nonlinear matrix equations
In my work I've encountered equations of the type: (Ax).*(Bx) + Cx = d Where A,B and C are non-unitary square matrices, x and d column vectors and .* denote component-wise multiplication. I have a few books which discuss nonlinear matrix equations, but not of this kind. Any suggestions?- Kosh Naranek
- Thread
- Matrix Nonlinear Resources
- Replies: 3
- Forum: Linear and Abstract Algebra