On Gauss’ speeding up device in the theory of single step iteration.
نویسندگان
چکیده
منابع مشابه
On Gauss' Speeding Up Device in the Theory of Single Step Iteration
Now, since the third term of the right hand side of this equation is to be neglected, one concludes that the removal of the last term does not cause any additional inaccuracy, if m is large enough. It is sufficient to choose m of the same order of magnitude as the largest eigenvalue of X squared or the reciprocal of /_ 1 y the smallest eigenvalue of A. Compute the matrix I X~2-A I by means of \...
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On Over and Under Relaxation in the Theory of the Cyclic Single Step Iteration
In (47) q is properly written qn¡. In (48) it becomes ambiguous, being either <Zn-i,y(n) or gn,y(n)±iThus we can only assert that H is non-decreasing except by reason of variations in q with the advance of the front or disturbance introduced at the boundaries. In equation (33) with nonvanishing r, the precise meaning of "stability" is not evident and no demonstration of properties approximating...
متن کاملOn Over and Under Relaxation in the Theory of the Cyclic Single Step Iteration
In (47) q is properly written qn¡. In (48) it becomes ambiguous, being either <Zn-i,y(n) or gn,y(n)±iThus we can only assert that H is non-decreasing except by reason of variations in q with the advance of the front or disturbance introduced at the boundaries. In equation (33) with nonvanishing r, the precise meaning of "stability" is not evident and no demonstration of properties approximating...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1958
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1958-0099747-2