Analytical convergent sequence and numerical divergent sequence
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Is it possible to construct a sequence that converges in theory but when computed numerically with a computer program is diverging.
I feel that today our computer programs doesn't allow such pathological cases so I would like to consider reduce precision on floating point number like 6 digits.
Also I would like to investigate the causes of the existence of such sequences:
- overflow
- floating point precision
- anything else ?
Finally, what would be an ill-conditioned sequence ? I have some examples about ode, matrix, ... but does there exist an ill-conditioned notion for sequences ?
sequences-and-series convergence numerical-methods floating-point
asked Nov 24 at 8:21
Smilia
585516
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up vote
0
down vote
favorite
Is it possible to construct a sequence that converges in theory but when computed numerically with a computer program is diverging.
I feel that today our computer programs doesn't allow such pathological cases so I would like to consider reduce precision on floating point number like 6 digits.
Also I would like to investigate the causes of the existence of such sequences:
- overflow
- floating point precision
- anything else ?
Finally, what would be an ill-conditioned sequence ? I have some examples about ode, matrix, ... but does there exist an ill-conditioned notion for sequences ?
sequences-and-series convergence numerical-methods floating-point
asked Nov 24 at 8:21
Smilia
585516
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Is it possible to construct a sequence that converges in theory but when computed numerically with a computer program is diverging.
I feel that today our computer programs doesn't allow such pathological cases so I would like to consider reduce precision on floating point number like 6 digits.
Also I would like to investigate the causes of the existence of such sequences:
- overflow
- floating point precision
- anything else ?
Finally, what would be an ill-conditioned sequence ? I have some examples about ode, matrix, ... but does there exist an ill-conditioned notion for sequences ?
sequences-and-series convergence numerical-methods floating-point
asked Nov 24 at 8:21
Smilia
585516
Is it possible to construct a sequence that converges in theory but when computed numerically with a computer program is diverging.
I feel that today our computer programs doesn't allow such pathological cases so I would like to consider reduce precision on floating point number like 6 digits.
Also I would like to investigate the causes of the existence of such sequences:
- overflow
- floating point precision
- anything else ?
Finally, what would be an ill-conditioned sequence ? I have some examples about ode, matrix, ... but does there exist an ill-conditioned notion for sequences ?
sequences-and-series convergence numerical-methods floating-point
sequences-and-series convergence numerical-methods floating-point
asked Nov 24 at 8:21
Smilia
585516
asked Nov 24 at 8:21
Smilia
585516
asked Nov 24 at 8:21
Smilia
585516
asked Nov 24 at 8:21
Smilia
585516
asked Nov 24 at 8:21
Smilia
585516
585516
add a comment |
add a comment |
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