Effective condition number and its applications
From MaRDI portal
Publication:5962003
DOI10.1007/s00607-010-0098-8zbMath1198.65085OpenAlexW1986815419MaRDI QIDQ5962003
Jeng-Tzong Chen, Zi Cai Li, Yi-Min Wei, Hung-Tsai Huang
Publication date: 16 September 2010
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00607-010-0098-8
stability analysiserror boundsingular valuessingular vectorsoverdetermined linear systemscollocation Trefftz methodeffective condition numberMotz's problem
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
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Cites Work
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- The effective condition number applied to error analysis of certain boundary collocation methods
- Generalized inverses: theory and computations
- Effective condition number for finite difference method
- Highly accurate solutions of Motz's and the cracked beam problems
- A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
- On Frobenius normwise condition numbers for Moore–Penrose inverse and linear least-squares problems
- Trefftz, collocation, and other boundary methods—A comparison
- Effective condition number for numerical partial differential equations
- Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
- Effectively Well-Conditioned Linear Systems
- Generalizing the Singular Value Decomposition
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- Perturbation theory for pseudo-inverses
- Trefftz method: An overview