Computing Methods in Applied Sciences and Engineering: by Alan George (auth.), Prof. R. Glowinski, Prof. J. L. Lions

By Alan George (auth.), Prof. R. Glowinski, Prof. J. L. Lions (eds.)

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Additional info for Computing Methods in Applied Sciences and Engineering: Second International Symposium December 15–19, 1975

Example text

1 ! ) with subscripts Ip, q) is defined to be the element Qvw of the . 2 ! We call A( 21 In I2 m (21 ) a 2 -level hypermatrix. In order to have a unified notation, we call Aln,m) al-level hypermatrix and its elements O-Ievel matrices. I = d ( i : 1J 2 J ... J mj =d (j =1)2 J where d>O n d is a partitioned matrix satisfying (2 ) - n,. 2) is some integer. For simplicity, all partitioned matricesin this paper will be par- titioned by d for a fixed d . In addition we assume in the operation count ni =nj = d for i = n l21 and j =m(2).

10] J. H. Argyris and O. E. Brönlund, The natural factor formulation of the matrix displacement method, Comp. Meth. Appl. Mech. Eng. 5 (1975) 97-119. [111 Th. Lunde Johnsen and J. R. Roy, On systemo of linear equations of the form AtAx = b error analysis and certain consequences for structural appl ications, Comp. Appl. Mech. Eng. 3 (1974) 357-374. W. Backus et al, Revised re port on the algorithmic language ALGOL 60, IFIP 1962. [131 O. E. Brönlund, "Eigenvalues of large matrices", Symposium on finite element techniques at the ISO, University of Stuttgart (1969).

Kuznetsov. On the solution of systems of linear equations by iterative methods. 3. _Kuznetsov. Iterative methods and quadratic functionals. Novosibirsk, "Science", 1972. 4. Kuznetsov. Stationary Iterative Methods for the Solution of Systems of Linear Equations with Singular Matrices. -nCl2nf. manuscripts Syrnp. Num. Alg. Gatlinburg VI, 1974", Munchen, Techn. , 1974. 5. Kuznetsov. Iterative Methods for the Solution of Non-Compatible Systems of Linear Equations. In "Some Problems of Computational and Applied Mathematics" Novosibirsk, nScience", 1975, pp.

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