Abstract
A new class of norms which generalize norms previously investigated by Young [9, 14], Sheldon [4, 5], Golub [1], Golub and Varga [2], Varga [6], Wachspress [7], Young and Kincaid [12], Young [14], and Kincaid [3] is introduced. Expressions for these norms applied to the matrices associated with various iterative methods are developed.
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Work on this paper was sponsored by NSF Grant GP-8442 and Army Grant DA-ARO(D)-31-124-G1050 at The University of Texas at Austin.
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Kincaid, D.R. A class of norms of iterative methods for solving systems of linear equations. Numer. Math. 20, 392–408 (1972). https://doi.org/10.1007/BF01402562
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DOI: https://doi.org/10.1007/BF01402562