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Nievergelt, Yves – American Mathematical Monthly, 1991
Described are ways that errors of magnitude can be unwittingly caused when using various supercalculator algorithms to solve linear systems of equations that are represented by nearly singular matrices. Precautionary measures for the unwary student are included. (JJK)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education
Peer reviewed Peer reviewed
Newton, Tyre A. – American Mathematical Monthly, 1990
Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)
Descriptors: Algebra, Algorithms, College Mathematics, Equations (Mathematics)
Peer reviewed Peer reviewed
Kalman, Dan – Mathematics Magazine, 1990
Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Science