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 July 11th, 2010, 11:42 PM #1 Newbie   Joined: Jul 2010 Posts: 5 Thanks: 0 Roots of a system of equations Hi everyone, I'm an electrical engineering student. during performing my thesis, on computational methods in electromagnetics, I encounter following problem. suppose following equation (roots of a second order equation): z = ( 2*G-F +/- sqrt(F^2-8*F*G) ) / (2*F+2*G) where F is symmetric and positive semi-definite and G is symmetric and positive definite. we also know that (F^2-8*F*G) > 0. how it can be proofed that abs(z)<1 ? If it can be proofed it's a great help to me. thanks a lot,

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