All Questions
Tagged with big-list na.numerical-analysis
7 questions
109
votes
19
answers
38k
views
Why were matrix determinants once such a big deal?
I have been told that the study of matrix determinants once comprised the bulk of linear algebra. Today, few textbooks spend more than a few pages to define it and use it to compute a matrix inverse. ...
37
votes
11
answers
8k
views
"Must read" papers in numerical analysis
In 1993, Prof. L.N. Trefethen published a NA-net posting with a list of thirteen paper he used for teaching the seminar Classic Papers in Numerical Analysis.
In Trefethen's words, ... this course ...
16
votes
3
answers
3k
views
Current Research in Numeric Mathematics
To me, as an non-expert in the field, it seems as if numeric mathematics should have lost its importance because nowadays symbolic calculations or calculations with unlimited precision are generally ...
5
votes
0
answers
77
views
Numerical and computational approaches to limit cycle theory
I am searching for a big list of papers or researches devoted to limit cycles of planar polynomial vector fields based on a computational and numerical approach.
I would like to ask ...
4
votes
1
answer
220
views
The link and equivalence between variant definition of computation model and computational complexity over reals
To unify the numerical computation and classic computability theory, or to pave a foundation for the numerical computation, mathematicians present variant computation model and computational ...
- 3,094
3
votes
0
answers
1k
views
Mathematical computing rules-of-thumb [closed]
Does there exist a simple, cheatsheet-like document which compiles the best practices for mathematical computing? If not, could someone respond with a list of the top best practices? E.g., it would ...
2
votes
0
answers
185
views
Can the Moler and Morrison Algorithm be Improved?
In a nutshell, the Moler and Morrison algorithm is a fast method for calculating euclidean distances in a numerically stable way by using reflections instead of the pythagorean theorem.
In order ...
- 13.2k