THE SOLUTION OF LARGE-SCALE GAS PIPELINE DESIGN PROBLEMS
β Scribed by SOLIMAN, F. I.; MURTAGH, B. A.
- Book ID
- 118184421
- Publisher
- Taylor and Francis Group
- Year
- 1982
- Tongue
- English
- Weight
- 153 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0305-215X
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## Abstract A sequence of leastβsquares problems of the form min~__y__~β₯__G__^1/2^(__A__^T^ __y__β__h__)β₯~2~, where __G__ is an __n__Γ__n__ positiveβdefinite diagonal weight matrix, and __A__ an __m__Γ__n__ (__m__β©½__n__) sparse matrix with some dense columns; has many applications in linear program
In this paper we consider large scale nonlinear least squares problems whose objective functions are very expensive to evaluate, and whose Jacobian matrices are generally ill-conditioned and have an almost block diagonal structure. We prove the convergence of an asynchronous iteration to solve this