Condition numbers and general projection method
نویسندگان
چکیده
منابع مشابه
NORTH- HOLLAND Condition Numbers and Their Condition Numbers
Various normwise relative condition numbers that measure the sensitivity of matrix inversion and the solution of linear systems are characterized. New results are derived for the cases where two common, noninduced matrix norms are used, and where different vector norms are used for the domain and range of the matrix. Condition numbers that respect the structure of symmetric problems are also an...
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Abstract: A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discu...
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We provide estimates on the volume of tubular neighborhoods around a subvariety Σ of real projective space, intersected with a disk of radius σ . The bounds are in terms of σ , the dimension of the ambient space, and the degree of equations defining Σ . We use these bounds to obtain smoothed analysis estimates for some conic condition numbers. To cite this article: P. Bürgisser et al., C. R. Ac...
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In this chapter we investigate local errors and condition numbers in the BEM. The results of these investigations are important in guiding adaptive meshing strategies and solvability of linear systems in BEM. We show that the local error for the BEM with constant or linear elements decreases quadratically with the boundary element mesh size. We also investigate better ways of treating boundary ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1970
ISSN: 0024-3795
DOI: 10.1016/0024-3795(70)90015-7