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1 - 6 of 6
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Linear algebra and matrices: topics for a second course
Shapiro H., American Mathematical Society, Boston, MA, 2015. 317 pp. Type: Book (978-1-470418-52-6)
In the preface, the author states that this text grew out of two upper-level courses she taught, one in linear algebra and the other in combinatorial matrix theory. She taught both courses from her own notes because she could not find ...
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Dec 23 2015 |
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 Iterative methods for linear systems: theory and applications
Olshanskii M., Tyrtyshnikov E., SIAM, Philadelphia, PA, 2014. 263 pp. Type: Book (978-1-611973-45-7)
The term “linear systems” in the title refers to equations of the form Ax = b, where x and b are elements of a Euclidean space and
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Feb 25 2015 |
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Algorithm 923: efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
Wimmer M. ACM Transactions on Mathematical Software 38(4): 1-17, 2012. Type: Article
The Pfaffian of a matrix, like the determinant, is a polynomial in the matrix elements. It is most frequently used in particle physics where the matrix is even-ordered and skew-symmetric, and the determinant is the square of the Pfaffi...
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Oct 30 2012 |
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A simple division-free algorithm for computing determinants
Bird R. Information Processing Letters 111(21-22): 1072-1074, 2011. Type: Article
The determinant of a matrix has a long history in mathematics. It is usually discussed along with Cramer’s rule for the solution of systems of linear equations. As late as the 1950s, the evaluation of 2×2 and 3&#...
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Sep 28 2012 |
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Finite precision number systems and arithmetic
Kornerup P., Matula D., Cambridge University Press, New York, NY, 2010. 716 pp. Type: Book (978-0-521761-35-2)
Every undergraduate computer engineering or computer science curriculum has at least one course in computer architecture that includes a section that explains how computers do arithmetic. At this introductory level, authors usually use...
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Jun 10 2011 |
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Linear algebra: ideas and applications
Penney R., Wiley-Interscience, New York, NY, 2008. 480 pp. Type: Book (9780470178843)
Linear algebra is applied in many different areas, from Google’s PageRank algorithm to group representations, and there are as many different ways to write an introductory text. A certain amount of abstract thinking is requir...
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Sep 30 2008 |
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