These are the slides of a plenary talk given at the 2006 SIAM Annual Meeting, on July 11, 2006.
The talk describes how x=A\b works in MATLAB, when A is sparse.
You can view the video at https://www.youtube.com/watch?v=5NpBTUSQac4. Follow along with these slides as you view the video. The slides are not meant to be read as a stand-alone document.
For more details, see the book "Direct Methods for Sparse Linear Systems," published by SIAM.
Tim Davis (2019). Slides for the video "Direct Methods for Sparse Linear Systems : the MATLAB sparse backslash" (https://www.mathworks.com/matlabcentral/fileexchange/12295-slides-for-the-video-direct-methods-for-sparse-linear-systems-the-matlab-sparse-backslash), MATLAB Central File Exchange. Retrieved .
good and thanks for that but needs to add more detail and examples
The video exceeds the 20MB filesize limit; see the link to http://www.cise.ufl.edu/research/sparse/SIAM06 instead.