Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

SIAM Journal on Numerical Analysis, Vol. 20, No. 2 (Apr., 1983), pp. 345-357 (13 pages) We consider a class of iterative algorithms for solving systems of linear equations where the coefficient matrix ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Description: This is a methods course for juniors in any branch of engineering and science, designed to follow MA 262. Basic techniques for solving systems of linear ordinary differential equations.

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Simultaneous equations Simultaneous examples with no common coefficients Creating and solving simultaneous equations Simultaneous equations with linear and quadratic Solving simultaneous equations ...

Looking for the answers to ax² + bx + c = 0? A mathematician has rediscovered a technique that the ancient Babylonians used. By Kenneth Chang and Jonathan Corum The quadratic equation has frustrated ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...