Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/39933
Title: Formal power series and loose entry formulas for the Dixon matrix
Authors: Xiao, W.
Chionh, E.-W. 
Issue Date: 2005
Source: Xiao, W.,Chionh, E.-W. (2005). Formal power series and loose entry formulas for the Dixon matrix. Lecture Notes in Computer Science 3519 : 72-82. ScholarBank@NUS Repository.
Abstract: Formal power series are used to derive four entry formulas for the Dixon matrix. These entry formulas have uniform and simple summation bounds for the entire Dixon matrix. When corner cutting is applied to the monomial support, each of the four loose entry formulas simplifies greatly for some rows and columns associated with a particular corner, but still maintains the uniform and simple summation bounds. Uniform summation bounds make the entry formulas loose because redundant brackets that eventually vanish are produced. On the other hand, uniform summation bounds reveal valuable information about the properties of the Dixon matrix for a corner-cut monomial support. © Springer-Verlag Berlin Heidelberg 2005.
Source Title: Lecture Notes in Computer Science
URI: http://scholarbank.nus.edu.sg/handle/10635/39933
ISSN: 03029743
Appears in Collections:Staff Publications

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