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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
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Murty, Vedula N.; Swetz, Frank J. – Mathematics Teacher, 1982
An approach to how to expand explorations of determinants is detailed that allows evaluation of the fourth order. The method is built from a close examination of the product terms found in the expansions of second- and third-order determinants. Students are provided with an experience in basic mathematical investigation. (MP)
Descriptors: Algorithms, Discovery Learning, Mathematical Concepts, Mathematical Enrichment
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Givan, Betty; Karr, Rosemary – Mathematics and Computer Education, 1988
The author presents two examples of lattice multiplication followed by a computer algorithm to perform this multiplication. The algorithm is given in psuedocode but could easily be given in Pascal. (PK)
Descriptors: Algorithms, College Mathematics, Computer Assisted Instruction, Computer Software
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Rozema, Edward – College Mathematics Journal, 1988
The article discusses the use of computers to teacher college level mathematics. In particular, the Gaussian elimination procedure for solving a system of n linear equations in n unknowns, using a computer, is examined. (PK)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Assisted Instruction
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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)
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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