On a Special Case of the two-variable Newton Interpolation Polynomial

被引：0

作者：

Varsamis, Dimitris N. ^{[1
]}

Karampetakis, Nicholas P. ^{[2
]}

机构：

[1] Technol Educ Inst Serres, Dept Informat & Commun, Serres 62124, Greece

[2] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

来源：

2012 2ND INTERNATIONAL CONFERENCE ON COMMUNICATIONS, COMPUTING AND CONTROL APPLICATIONS (CCCA) | 2012年

关键词：

MATRICES; INVERSE;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper, proposes two new algorithms for the construction of a two-variable Newton-interpolation polynomial, for the special case where we have a rectangular basis with equidistant points. The complexity of the proposed algorithms is better than the ones given in [1] since it is based only on additions. One of the two algorithms is based on matrix multiplications and thus it is easily implemented in programming languages which supports such kind of operations.

引用

页数：6

共 50 条

[1] On the computation of the inverse of a two-variable polynomial matrix by interpolation
Karampetakis, Nicholas P.
Evripidou, Alexandros
[J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2012, 23 (1-2) : 97 - 118
[2] On the computation of the inverse of a two-variable polynomial matrix by interpolation
Nicholas P. Karampetakis
Alexandros Evripidou
[J]. Multidimensional Systems and Signal Processing, 2012, 23 : 97 - 118
[3] On two-variable rational interpolation
Antoulas, A. C.
Ionita, A. C.
Lefteriu, S.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (08) : 2889 - 2915
[4] A Two-Variable Interlace Polynomial
Richard Arratia
Béla Bollobás†
Gregory B. Sorkin
[J]. Combinatorica, 2004, 24 : 567 - 584
[5] A two-variable interlace polynomial
Arratia, R
Bollobás, B
Sorkin, GB
[J]. COMBINATORICA, 2004, 24 (04) : 567 - 584
[6] On the computation of the minimal polynomial of a two-variable polynomial matrix
Tzekis, R
Karampetakis, NP
[J]. FOURTH INTERNATIONAL WORKSHOP ON MULTIDIMENSIONAL SYSTEMS - NDS 2005, 2005, : 83 - 89
[7] A new two-variable generalization of the chromatic polynomial
Dohmen, K
Pönitz, A
Tittmann, P
[J]. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2003, 6 (01): : 69 - 89
[8] Nonclassicality of a two-variable Hermite polynomial state
Tan Guo-Bin
Xu Li-Juan
Ma Shan-Jun
[J]. CHINESE PHYSICS B, 2012, 21 (04)
[9] Nonclassicality of a two-variable Hermite polynomial state
谭国斌
徐莉娟
马善钧
[J]. Chinese Physics B, 2012, 21 (04) : 340 - 349
[10] A two-variable polynomial invariant of virtual knots
Jeong, Myeong-Ju
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2023, 32 (13)

← 1 2 3 4 5 →