Timeline for Applied linear algebra textbook?
Current License: CC BY-SA 2.5
8 events
when toggle format | what | by | license | comment | |
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Jan 2, 2011 at 22:41 | vote | accept | dkh | ||
Jan 2, 2011 at 19:44 | comment | added | timur | Ok I checked the book. They start with SVD and use it as theoretical basis for the other decompositions. But an algorithm to construct SVD is presented last. I think my confusion was because of this. | |
Jan 2, 2011 at 19:42 | comment | added | timur | I think the organization QR --> LU --> Cholesky in their book was very good in that combined with their approach it makes the whole thing somehow unified and more geometric. | |
Jan 2, 2011 at 2:08 | history | edited | Jiahao Chen | CC BY-SA 2.5 |
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Jan 2, 2011 at 2:05 | comment | added | Jiahao Chen | At any rate, the normal presentation is more like Cholesky --> LU --> QR --> SVD. | |
Jan 2, 2011 at 2:03 | comment | added | Jiahao Chen | Just to clarify, I meant 'derivative' in the loose sense. The book definitely presents the other decompositions like QR, LU etc. as special cases of SVD. IIRC the presentation was organized as SVD --> QR --> LU --> Cholesky. I think if you skipped SVD, you had at least to start from the QR part. | |
Jan 2, 2011 at 1:54 | comment | added | timur | I agree this is a good book, but I am not sure your comment that it presents the other standard transformations as derivatives of SVD is true. As far as I remember it was possible skip the SVD chapter on first reading if one so wishes. | |
Jan 2, 2011 at 1:49 | history | answered | Jiahao Chen | CC BY-SA 2.5 |