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Numerical algorithms for problems in analysis and algebra, scientific computation

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Does Gaussian Quadrature actually refer to Gauss-Legendre Quadrature?

It is standard to use the term Gaussian Quadrature to refer broadly to any approximation $$\int_a^b \omega (w)f(x)dx=\sum_{i=1}^n w_if(x_i)$$ that is optimanl in the sense of Gauss's fundamental the …
Myshkin's user avatar
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Why is there a $\sqrt{5}$ in Hurwitz's Theorem?

As Terry mentions in the comments, the reason for the $\sqrt{5}$ is that the limiting case, the golden ratio, forces it. There is a very neat explanation of all of this in the classic number theory bo …
Myshkin's user avatar
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