Changes between Version 1 and Version 2 of Ticket #4845, comment 9


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Timestamp:
2019-12-07T21:43:00Z (5 years ago)
Author:
Francesco Casella

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  • Ticket #4845, comment 9

    v1 v2  
    1010v3 = 3*v2;
    1111...
     12VN = 3*V{N-1}
    1213
    13 The sensitivity of the last torn variable to small variations of the tearing variable is 3^N^, which is really too much when N > 20, as a variation of 1e-10 of the tearing variable gives a variation of 0.36 o the torn variable.
     14The sensitivity of the last torn variable to small variations of the tearing variable is 3^N^, which is really too much when N > 20, as a variation of 1e-10 of the tearing variable gives a variation of at least 0.36 of the torn variable. Hence, getting f(x) close enough to zero become very difficult to the solver because the effects of machine precision are greatly amplified.
    1415