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» Algorithms for the Approximate Common Divisor Problem
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ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
13 years 11 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
AUTOMATICA
2008
139views more  AUTOMATICA 2008»
13 years 5 months ago
Structured low-rank approximation and its applications
Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equival...
Ivan Markovsky
ISSAC
2004
Springer
118views Mathematics» more  ISSAC 2004»
13 years 10 months ago
The approximate GCD of inexact polynomials
This paper presents an algorithm and its implementation for computing the approximate GCD (greatest common divisor) of multivariate polynomials whose coefficients may be inexact. ...
Zhonggang Zeng, Barry H. Dayton
CSUR
2004
91views more  CSUR 2004»
13 years 4 months ago
Line drawing, leap years, and Euclid
Bresenham's algorithm minimizes error in drawing lines on integer grid points; leap year calculations, surprisingly, are a generalization. We compare the two calculations, exp...
Mitchell A. Harris, Edward M. Reingold
ARITH
2005
IEEE
13 years 10 months ago
N-Bit Unsigned Division via N-Bit Multiply-Add
Integer division on modern processors is expensive compared to multiplication. Previous algorithms for performing unsigned division by an invariant divisor, via reciprocal approxi...
Arch D. Robison