In many engineering problems it is required to convert a polynomial into another polynomial through a transformation. Due to its wide range of applications, the polynomial transformation has received much attention and many techniques have been developed to compute the coefficients of a transformed polynomial from those of an original polynomial. In this letter a new result is presented concerning the transformation matrix for arbitrary polynomial transformation. A simple algorithm is obtained which enables one to successively compute transformation matrices of various order.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Younseok CHOO, Gin Kyu CHOI, "Successive Computation of Transformation Matrices for Arbitrary Polynomial Transformation" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 4, pp. 1230-1232, April 2009, doi: 10.1587/transfun.E92.A.1230.
Abstract: In many engineering problems it is required to convert a polynomial into another polynomial through a transformation. Due to its wide range of applications, the polynomial transformation has received much attention and many techniques have been developed to compute the coefficients of a transformed polynomial from those of an original polynomial. In this letter a new result is presented concerning the transformation matrix for arbitrary polynomial transformation. A simple algorithm is obtained which enables one to successively compute transformation matrices of various order.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.1230/_p
Copy
@ARTICLE{e92-a_4_1230,
author={Younseok CHOO, Gin Kyu CHOI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Successive Computation of Transformation Matrices for Arbitrary Polynomial Transformation},
year={2009},
volume={E92-A},
number={4},
pages={1230-1232},
abstract={In many engineering problems it is required to convert a polynomial into another polynomial through a transformation. Due to its wide range of applications, the polynomial transformation has received much attention and many techniques have been developed to compute the coefficients of a transformed polynomial from those of an original polynomial. In this letter a new result is presented concerning the transformation matrix for arbitrary polynomial transformation. A simple algorithm is obtained which enables one to successively compute transformation matrices of various order.},
keywords={},
doi={10.1587/transfun.E92.A.1230},
ISSN={1745-1337},
month={April},}
Copy
TY - JOUR
TI - Successive Computation of Transformation Matrices for Arbitrary Polynomial Transformation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1230
EP - 1232
AU - Younseok CHOO
AU - Gin Kyu CHOI
PY - 2009
DO - 10.1587/transfun.E92.A.1230
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2009
AB - In many engineering problems it is required to convert a polynomial into another polynomial through a transformation. Due to its wide range of applications, the polynomial transformation has received much attention and many techniques have been developed to compute the coefficients of a transformed polynomial from those of an original polynomial. In this letter a new result is presented concerning the transformation matrix for arbitrary polynomial transformation. A simple algorithm is obtained which enables one to successively compute transformation matrices of various order.
ER -