On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems
โ Scribed by Varah, J. M.
- Book ID
- 118053374
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1973
- Tongue
- English
- Weight
- 964 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0710025
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Various physical problems lead to an ill-conditioned system of equations TX U in which the variancecovariance matrix of the measured Vector Uis known. To facilitate the solution of such equations. the following form of the quadratic optimization problem was introduced: join fQ (X) = XTCX + DX + F X
A new understanding of the notion of the stable solution to ill-posed problems is proposed. The new notion is more realistic than the old one and better fits the practical computational needs. A method for constructing stable solutions in the new sense is proposed and justified. The basic point is: