error measures
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1: 3.1 Arithmetics and Error Measures
§3.1 Arithmetics and Error Measures
… ►§3.1(v) Error Measures
… ►The relative precision is … ►The mollified error is … ►2: 3.2 Linear Algebra
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►Because of rounding errors, the residual vector
is nonzero as a rule.
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►The sensitivity of the solution vector in (3.2.1) to small perturbations in the matrix and the vector is measured by the condition number
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►Then we have the a posteriori error bound
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►If is nondefective and is a simple zero of , then the sensitivity of to small perturbations in the matrix is measured by the condition number
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3: DLMF Project News
error generating summary4: Bibliography M
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Two-point quasi-fractional approximations to the Airy function
.
J. Comput. Phys. 99 (2), pp. 337–340.
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The supports of measures associated with orthogonal polynomials and the spectra of the related selfadjoint operators.
Rocky Mountain J. Math. 21 (1), pp. 501–527.
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Uniform computation of the error function and other related functions.
Math. Comp. 25 (114), pp. 339–344.
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Explicit error terms for asymptotic expansions of Stieltjes transforms.
J. Inst. Math. Appl. 22 (2), pp. 129–145.
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5: Errata
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►For confirmed errors, the Editors have made the corrections listed here.
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►This especially included updated information on matrix analysis, measure theory, spectral analysis, and a new section on linear second order differential operators and eigenfunction expansions.
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►The specific updates to Chapter 18 include some results for general orthogonal polynomials including quadratic transformations, uniqueness of orthogonality measure and completeness, moments, continued fractions, and some special classes of orthogonal polynomials.
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►The spectral theory of these operators, based on Sturm-Liouville and Liouville normal forms, distribution theory, is now discussed more completely, including linear algebra, matrices, matrices as linear operators, orthonormal expansions, Stieltjes integrals/measures, generating functions.
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Subsection 18.28(iv)
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