Abstract
Validated Solution of Large Linear Systems. Some new methods will be presented for computing verified inclusions of the solution of large linear systems. The matrix of the linear system is typically of sparse or band structure. There are no prerequisites for the matrix, such as being M-matrix, Symmetric, positive definite or diagonally dominant. For general band matrices of lower, Upper bandwidth p, q of dimension n the Computing time is n · (pq + p 2 + q 2). Examples with up to 1.000.000 unknowns will be presented.Key wordsSparse linear systemsbanded linear systemsautomatic result verificationinterval methods
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