Abstract: The well-known matrix algebraic equation of the optimal control and filtering theory is considered. A necessary and sufficient condition for its solution to yield an optimal as well as ...

Surprise: You can answer this question with modern algebra.

Python allows free creation of plots, unlike expensive, stagnant graphing calculators. Import NumPy and Matplotlib for basic ...

A mathematician and a computer scientist have just solved an "impossible" equation that has been considered unsolvable for ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The ...

Example: x² – 5x = 0 → x(x – 5) = 0 → x = 0 or 5. A quadratic equation is a polynomial equation in the form ax² + bx + c = 0, where a, b, and c are constants, and x is the variable. It can have real ...

That year, French mathematician Évariste Galois finally illustrated why this was such a problem—the underlying mathematical symmetry in the established methods for lower-order polynomials simply ...

Abstract: A numerical technique is given for solving the matrix quadratic equation that arises in the optimal ... efficient algorithms for the matrix Lyapunov and Ricatti equations. The computational ...