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Numerical Computation with Mathematica

Jerry B. Keiper
Organization: Wolfram Research, Inc.

1992 Mathematica Developer Conference
Conference location

Boston, MA

The area of numerical computation tends to break somewhat naturally into three subareas which, for want of better terms, we will call sampling, linear algebra, and theory. This is a gross oversimplification and these terms are not very descriptive, but they are useful labels for our discussion here. This material discusses numerical methods that are based on sampling and linear algebra. Reprint from the Mathematica Conference, June 1992, Boston. 92 pages.

*Mathematica Technology > Kernel > Numerics

numerical methods, numerical sampling, numerical quadrature, sequence limit, numerical sums and products, NLimit, ND, Root finding, FindRoot, minimization, Differential Equations, curve fitting, linear algebra, compiled evaluation, Integrate, NIntegrate, discontinuous integrands, vector field integration, oscillatory integrands, singularities, cauchy principal values, ListIntegrate, SequenceLimit, Sum, NSum, NProduct, alternating series, EulerSum, Brent's Method, Secant method, bessel functions, FindMinimum, linear programming, NDSolve, indefinite integration, boundary value problems, curve fitting, Fit, PolynomialFit, NonlinearFit, matrix arithmetic, matrix operations, determinant, minor, inner product, outer product, linear equations, RowReduce, NullSpace, Gram-Schmidt Orthogonalization, Gram Schmidt Orthogonalization, GramSchmidt, MatrixPower, MatrixExp, Matrix Decompositions, LUDecomposition, LU Decomposition, LUBackSubstitution, QRDecomposition, Schurr Decomposition, Jordan Decomposition, JordanDecomposition, Compile, CompiledFunction, Error Control, Relative Error, cumulative error, machine precision, machine accuracy, machine arithmetic, Numerical1.ps, Numerical2.ps

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