Matrix Calculus
matrixcalculus.org
Matrix Calculus
1–10 of 53 posts
Re: Matrix Calculus
#2I never learned matrix calculus so I find this tool helpful for following technical papers that involve some matrix calculus
Re: Matrix Calculus
#3I never learned matrix calculus so I find this tool helpful for following technical papers that involve some matrix calculus
You might also find the Matrix Cookbook [0] to be a useful reference.
[0]: https://www.math.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf
Re: Matrix Calculus
#4Along the same lines, does there exist an "algebra checker" that could, say, take in two successive lines of latex, with perhaps a hint of how to get from one to the other, and confirm that there are no algebra errors?
Re: Matrix Calculus
#5Along the same lines, does there exist an "algebra checker" that could, say, take in two successive lines of latex, with perhaps a hint of how to get from one to the other, and confirm that there are no algebra errors?
Mathematica can probably do that
Re: Matrix Calculus
#6I never learned matrix calculus so I find this tool helpful for following technical papers that involve some matrix calculus
I have done all kinds of work that required some kind of matrix calculus in one form or another. There are of course all kinds of references (sibling links to my favorite), but I have found that more often than not really the best way to get the results you want is just to calculate them yourself. The work involved is usually tedious but trivial. But working through it goes along way to help make some sense of the various identities that come out. In looking at an identity one may see a transpose here, an inner product there, but not be able to assign any importance or distinction to any particular term at first glance. Working through a few calculations help with this.
EDIT: I suppose I should also say that I never "learned" matrix calculus either, in the sense that I internalized the various features unique to matrices under derivatives and integrals. The calculations I refer to above are crude, naive ones in the scalar notation under whatever coordinate system seems appropriate.
Re: Matrix Calculus
#7Along the same lines, does there exist an "algebra checker" that could, say, take in two successive lines of latex, with perhaps a hint of how to get from one to the other, and confirm that there are no algebra errors?
The choice of LaTeX comes with two problems:
1) It's designed for describe graphical representation and not semantics.
2) parsing it properly is very difficult, especially considering how macros and other definitions can influence the syntax.
Re: Matrix Calculus
#8Along the same lines, does there exist an "algebra checker" that could, say, take in two successive lines of latex, with perhaps a hint of how to get from one to the other, and confirm that there are no algebra errors?
The choice of LaTeX comes with two problems: 1) It's designed for describe graphical representation and not semantics. 2) parsing it properly is very difficult, especially considering how macros and other definitions can influence the syntax.
You could:
1) assume a standard interpretation of symbols (e.g. this site uses a-g for scalars, h-z for vectors and A-Z for matrices) and make those assumptions explicit and modifiable (e.g. WolframAlpha displays "assuming X is a Y, use as a Z instead").
2) Support only the subset that MathJax can handle, which seems to be enough for most purposes.
I definitely agree that LaTeX is not the optimal input format for that purpose, though.
Re: Matrix Calculus
#9Along the same lines, does there exist an "algebra checker" that could, say, take in two successive lines of latex, with perhaps a hint of how to get from one to the other, and confirm that there are no algebra errors?
I think there used to be a open source tool called Maxima or something that would simplify equations. Havent used it for the last 10 years and never used it much anyway.
Re: Matrix Calculus
#10[deleted]