Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.240406e-24.

2 次查看(过去 30 天)
Hi, I have an operation like this: inv(A)*B; and i get this warning:
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.240406e-24.
I checked everything and the matrix's inputs are just badly scaled ( but the data is exacly what it is). Besides, determinents of both A, inv(A) are not zero. But the determinent of A is very very very small, nearly to zero.
Do i have to worry about the accurace of my operation or can do further operation on inv(A)*B?. I just want to make sure no mistakes happened because of ill-seriesness.
Thanks.
  3 个评论

请先登录,再进行评论。

回答(1 个)

Matt J
Matt J 2020-1-14
Even with A\B, you cannot expect reliable behavior with RCOND as small as 2.240406e-24. For all intents and purposes, your matrix is singular.
  2 个评论
Walter Roberson
Walter Roberson 2020-1-15
Sometimes you can side-step the errror message by using
sym(A)\sym(B)
sym() applied to the arrays would approximate each floating point number as an extended algebraic number (square roots, pi). But it will not always use the approximation you might expect. For example it would approximate 2.7178-1.414 as 6519/5000 instead of exp(1) - 2^(1/2) . Or it would approximate pi-313*eps as pi instead of as 1768559438007071/562949953421312
You can get more consistency by using
sym(A, 'f')\sym(B, 'f')
... Though chances are that if you get pushed to the point where you are using sym(A)\sym(B) to avoid error messages, then you should have been using symbolic computations to build up A and B in the first place
Using this technique with sym() to avoid the error message is, most of the time, a case Garbage In, Garbage Out: it takes in your garbage coefficients, and says, "For the sake of following rules blindly, we will pretend that those numbers are infinitely accurate, and give you the result as if they were, even though mathematically if even one of those numbers had been different in the 16th decimal place, you would have gotten a very different answer"

请先登录,再进行评论。

类别

Help CenterFile Exchange 中查找有关 Number Theory 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by