Re: [math-fun] Matrix Arithmetic Compendium
Rich asks: << Does anyone know of a compendium of matrix arithmetic? I'm imagining a collection of numerical & simple algebraic facts about matrices-- things like the determinant of a Vandermonde matrix, or the inverse of a finite section of Pascal's Triangle.
This is probably more advanced than you're looking for, but a wonderful book that's jam-packed with matrix facts but whose emphasis is on good robust algorithms for various matrix computations is by Golub & Van Loan, now in its nth edition where n >= 3. --Dan
On Wed, 29 Oct 2003 asimovd@aol.com wrote:
Rich asks:
<< Does anyone know of a compendium of matrix arithmetic? I'm imagining a collection of numerical & simple algebraic facts about matrices-- things like the determinant of a Vandermonde matrix, or the inverse of a finite section of Pascal's Triangle.
Again, this is probably more advanced than you want, but the absolutely fullest book of this type that I know of is "The Theory of Matrices" by Cyrus Colton MacDuffee, which was, I think, one of the earliest of the Springer books. The old classic (so old that it doesn't know the word "matrix") is Muir's "Treatise on Determinants", which is still fairly easy to obtain, as a Dover reprint. John Conway
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John Conway