How To Solve Quartic Equations

Solving Quadratic Equations

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Srinivasa Aiyangar Ramanujan

Srinivasa Aiyangar Ramanujan Srinivasa Aiyangar Ramanujan (22 Dec 1887 - 26 April 1920) was one of India's greatest mathematical geniuses. He was born in Erode, Tamil Nadu state, India. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. In 1900 he began to work on his own on mathematics summing geometric and arithmetic series. Ramanujan was shown how to solve cubic equations in 1902 and he went on

Polynomial Root-finding with the Jenkins-Traub Algorithm

The Jenkins-Traub Algorithm is a standard in the field of numerical computation of polynomial roots, fundamentally developed as a numerical algorithm specifically for the task of computing polynomial roots. In other words, (i) because it was planned from the outset for numerical purposes rather than being simply an adaptation of an analytic formula, it is extremely robust, effectively minimizing the effects of computer round-off error, while (ii) also being extremely efficient compared to more