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Linear algebra txtbk recommendations...
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Snis Pilbor
science forum addict


Joined: 11 May 2005
Posts: 50

PostPosted: Sat Jul 15, 2006 11:40 pm    Post subject: Linear algebra txtbk recommendations... Reply with quote

Hi,
I am extremely well familiar with the non-computational theory of
linear algebra, but not the computational aspects. The courses I've
taken have emphasized theory, so while I can prove neat things about
tensor products using universal diagrams, I couldn't tell you whether
two matrices are simultaneously diagonalizable if my life depended on
it. Unfortunately the quals here are heavily slanted toward
computational aspects of linear algebra so I need to brush up on that,
but I don't want to waste time wading through basics yet again... is
there anything like "A course in linear algebra for people who already
know theoretical linear algebra but need to learn computational linear
algebra, but still in a rigorous way"? (hehe, obviously that would be
too long for a book title, but hopefully it gets the meaning across)

Thanks Smile
S.P.
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alex.lupas@gmail.com
science forum beginner


Joined: 23 Feb 2006
Posts: 47

PostPosted: Sun Jul 16, 2006 6:28 am    Post subject: Re: Linear algebra txtbk recommendations... Reply with quote

Snis Pilbor wrote:
Quote:
"A course in linear algebra for people who already
know theoretical linear algebra but need to learn computational linear
algebra, but still in a rigorous way"? (hehe, obviously that would be
too long for a book title, but hopefully it gets the meaning across)
=====

Try:

[1] E.L.Allgower & K. Georg,
"Introduction to Numerical Continuation Methods",
Colorado State University,1990 (textbook).

[2] C.Brezinski,
"Biorthogonality and its Applications to Numerical Analysis",
Marcel Dekker Inc., 1992.

[3] P.G.Ciarlet & J.L.Lions,
"Handbook of Numerical Analysis",
vol.I-VII,North-Holland,1990--2000.

[4] G.H.Golub & Ch.F. Van Loan, "Matrix Computations",
The Johns Hopkins University Press,
Baltimore and London,third edition,1996.

[5] H.D.Ikramov," The Unsymmetric Eigenvalue Problem" (Russian),
Nauka,Moskow,1991.

[6] J.Stoer & R.B.Bulirsch,
"Introduction to Numerical Analysis",
Springer-Verlag,New York,third edition,2002.

Other authors: E.Isaacson & H.B.Keller, Bjoerck & Dahlquist
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