numerical-analysis

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Numerical Integration of area defined by set of coordinates?

Suppose you have a general shape defined by a bunch of coordinate points that form something that looks like a circle, ellipse, or general closed curve - how do you find the a开发者_Python百科rea boun[详细]

2023-01-25 08:05 分类：问答
Addition vs Subtraction in loss of significance with floating-points

While learning about precision in floating point arithmetic and different methods to avoid it (using a conjugate, taylor series,...) books frequently mention the subtraction of two very similar number[详细]

2023-01-16 22:17 分类：问答
How to compute exact complexity of an algorithm?

Without resorting to asymptotic notation, is tedious step counting the only way to get the time complexity 开发者_开发问答of an algorithm? And without step count of each line of code can we arrive at[详细]

2023-01-09 16:46 分类：问答
Most efficient way to find min and max of a sin/cos curve in C#

Background: I have a function in my program that takes a set of points and finds the minimum and maximum on the curve generated by those points. The thing is it is incredibly slow as it uses a while l[详细]

2023-01-06 01:52 分类：问答
Parallelising Cholesky decomposition for use in training a machine learning algorithm

I am trying to work out if I can parallelise the training aspect of a machine learning algorithm. The computationally expensive part of the training involves Cholesky decomposing a positive-definite m[详细]

2023-01-05 23:08 分类：问答
When to use DBL_EPSILON/epsilon

The DBL_EPSILON/std::numeric_limits::epsilon will give me the smallest value that will make a difference when adding w开发者_如何转开发ith one.[详细]

2023-01-04 19:36 分类：问答
Convergence of BFGS for convex over-parameterized problems

It is \"well开发者_Python百科-known\" that the BFGS optimization algorithm is superlinearly convergent for strictly convex problems, but is there any analysis for problems that are non-strictly convex[详细]

2022-12-20 13:36 分类：问答
Articles on analysis of mixed precision numerical algorithms?

Many numerical algorithms tend to run on 32/64bit floating points. However, what if you had access to lower precision (and les开发者_如何学Gos power hungry) co-processors? How can then be utilized in[详细]

2022-12-18 08:51 分类：问答
polynomial evaluation accuracy, multiplication versus division

let us say I have have polynomial in x, divided by a power of x: p = (a + x(b + x(c + ..)))/(x**n) efficiency aside, which would be more accurate computation numerically, the abo开发者_开发技巧ve o[详细]

2022-12-11 20:37 分类：问答