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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.
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Polynomial time for a quadratic equation and linear inequalities?
Does anyone know how to find a feasible solution (or the infeasibility of any solution) in a polynomial time to the following problem:
\begin{align*}
xAx^t = 0, \\
Bx^t = c, \\
x_i \ge 0,
\end{align*} …