A Class of Multivariate Rational Interpolation Formulas

Journal Home
Volume 43 - 2025
- Vol. 43, Issue 3 pp.515-770
- Vol. 43, Issue 2 pp.257-514
- Vol. 43, Issue 1 pp.1-256
Volume 42 - 2024
- Vol. 42, Issue 6 pp.1427-1776
- Vol. 42, Issue 5 pp.1197-1426
- Vol. 42, Issue 4 pp.911-1196
- Vol. 42, Issue 3 pp.617-910
- Vol. 42, Issue 2 pp.313-616
- Vol. 42, Issue 1 pp.1-312
Volume 41 - 2023
- Vol. 41, Issue 6 pp.1017-1324
- Vol. 41, Issue 5 pp.797-1016
- Vol. 41, Issue 4 pp.551-796
- Vol. 41, Issue 3 pp.345-550
- Vol. 41, Issue 2 pp.173-344
- Vol. 41, Issue 1 pp.1-172
Volume 40 - 2022
- Vol. 40, Issue 6 pp.835-1030
- Vol. 40, Issue 5 pp.667-834
- Vol. 40, Issue 4 pp.499-666
- Vol. 40, Issue 3 pp.335-498
- Vol. 40, Issue 2 pp.147-334
- Vol. 40, Issue 1 pp.1-146
Volume 39 - 2021
- Vol. 39, Issue 6 pp.801-922
- Vol. 39, Issue 5 pp.655-800
- Vol. 39, Issue 4 pp.493-654
- Vol. 39, Issue 3 pp.311-492
- Vol. 39, Issue 2 pp.159-310
- Vol. 39, Issue 1 pp.1-158
Volume 38 - 2020
- Vol. 38, Issue 6 pp.827-984
- Vol. 38, Issue 5 pp.683-826
- Vol. 38, Issue 4 pp.547-682
- Vol. 38, Issue 3 pp.395-546
- Vol. 38, Issue 2 pp.239-394
- Vol. 38, Issue 1 pp.1-238
Volume 37 - 2019
- Vol. 37, Issue 6 pp.739-936
- Vol. 37, Issue 5 pp.579-738
- Vol. 37, Issue 4 pp.437-578
- Vol. 37, Issue 3 pp.297-436
- Vol. 37, Issue 2 pp.151-296
- Vol. 37, Issue 1 pp.1-150
Volume 36 - 2018
- Vol. 36, Issue 6 pp.761-902
- Vol. 36, Issue 5 pp.627-760
- Vol. 36, Issue 4 pp.469-626
- Vol. 36, Issue 3 pp.331-468
- Vol. 36, Issue 2 pp.159-330
- Vol. 36, Issue 1 pp.1-158
Volume 35 - 2017
- Vol. 35, Issue 6 pp.693-838
- Vol. 35, Issue 5 pp.547-692
- Vol. 35, Issue 4 pp.381-546
- Vol. 35, Issue 3 pp.245-380
- Vol. 35, Issue 2 pp.121-244
- Vol. 35, Issue 1 pp.1-120
Volume 34 - 2016
- Vol. 34, Issue 6 pp.573-738
- Vol. 34, Issue 5 pp.451-572
- Vol. 34, Issue 4 pp.339-450
- Vol. 34, Issue 3 pp.223-338
- Vol. 34, Issue 2 pp.113-222
- Vol. 34, Issue 1 pp.1-112
Volume 33 - 2015
- Vol. 33, Issue 6 pp.557-684
- Vol. 33, Issue 5 pp.443-556
- Vol. 33, Issue 4 pp.341-442
- Vol. 33, Issue 3 pp.227-340
- Vol. 33, Issue 2 pp.113-226
- Vol. 33, Issue 1 pp.1-112
Volume 32 - 2014
- Vol. 32, Issue 6 pp.601-720
- Vol. 32, Issue 5 pp.491-600
- Vol. 32, Issue 4 pp.371-490
- Vol. 32, Issue 3 pp.215-370
- Vol. 32, Issue 2 pp.107-214
- Vol. 32, Issue 1 pp.1-106
Volume 31 - 2013
- Vol. 31, Issue 6 pp.549-662
- Vol. 31, Issue 5 pp.439-548
- Vol. 31, Issue 4 pp.335-438
- Vol. 31, Issue 3 pp.221-334
- Vol. 31, Issue 2 pp.107-220
- Vol. 31, Issue 1 pp.1-106
Volume 30 - 2012
- Vol. 30, Issue 6 pp.565-683
- Vol. 30, Issue 5 pp.449-564
- Vol. 30, Issue 4 pp.337-448
- Vol. 30, Issue 3 pp.223-336
- Vol. 30, Issue 2 pp.101-222
- Vol. 30, Issue 1 pp.1-100
Volume 29 - 2011
- Vol. 29, Issue 6 pp.605-719
- Vol. 29, Issue 5 pp.491-604
- Vol. 29, Issue 4 pp.367-490
- Vol. 29, Issue 3 pp.243-366
- Vol. 29, Issue 2 pp.131-242
- Vol. 29, Issue 1 pp.1-130
Volume 28 - 2010
- Vol. 28, Issue 6 pp.725-912
- Vol. 28, Issue 5 pp.569-724
- Vol. 28, Issue 4 pp.429-568
- Vol. 28, Issue 3 pp.289-428
- Vol. 28, Issue 2 pp.149-288
- Vol. 28, Issue 1 pp.1-148
Volume 27 - 2009
- Vol. 27, Issue 6 pp.677-836
- Vol. 27, Issue 5 pp.561-676
- Vol. 27, Issue 4 pp.425-560
- Vol. 27, Issue 2-3 pp.115-424
- Vol. 27, Issue 1 pp.1-114
Volume 26 - 2008
- Vol. 26, Issue 6 pp.767-892
- Vol. 26, Issue 5 pp.633-766
- Vol. 26, Issue 4 pp.471-632
- Vol. 26, Issue 3 pp.259-470
- Vol. 26, Issue 2 pp.123-258
- Vol. 26, Issue 1 pp.1-122
Volume 25 - 2007
- Vol. 25, Issue 6 pp.631-747
- Vol. 25, Issue 5 pp.497-630
- Vol. 25, Issue 4 pp.385-496
- Vol. 25, Issue 3 pp.243-384
- Vol. 25, Issue 2 pp.113-242
- Vol. 25, Issue 1 pp.1-112
Volume 24 - 2006
- Vol. 24, Issue 6 pp.675-790
- Vol. 24, Issue 5 pp.561-674
- Vol. 24, Issue 4 pp.451-560
- Vol. 24, Issue 3 pp.225-450
- Vol. 24, Issue 2 pp.113-224
- Vol. 24, Issue 1 pp.1-112
Volume 23 - 2005
- Vol. 23, Issue 6 pp.561-672
- Vol. 23, Issue 5 pp.449-560
- Vol. 23, Issue 4 pp.337-448
- Vol. 23, Issue 3 pp.225-336
- Vol. 23, Issue 2 pp.113-224
- Vol. 23, Issue 1 pp.1-112
Volume 22 - 2004
- Vol. 22, Issue 6 pp.777-920
- Vol. 22, Issue 5 pp.633-776
- Vol. 22, Issue 4 pp.489-632
- Vol. 22, Issue 3 pp.341-488
- Vol. 22, Issue 2 pp.145-340
- Vol. 22, Issue 1 pp.1-144
Volume 21 - 2003
- Vol. 21, Issue 6 pp.689-832
- Vol. 21, Issue 5 pp.545-688
- Vol. 21, Issue 4 pp.401-544
- Vol. 21, Issue 3 pp.257-400
- Vol. 21, Issue 2 pp.113-256
- Vol. 21, Issue 1 pp.1-112
Volume 20 - 2002
- Vol. 20, Issue 6 pp.561-672
- Vol. 20, Issue 5 pp.449-560
- Vol. 20, Issue 4 pp.337-448
- Vol. 20, Issue 3 pp.225-336
- Vol. 20, Issue 2 pp.113-224
- Vol. 20, Issue 1 pp.1-112
Volume 19 - 2001
- Vol. 19, Issue 6 pp.561-672
- Vol. 19, Issue 5 pp.449-560
- Vol. 19, Issue 4 pp.337-448
- Vol. 19, Issue 3 pp.225-336
- Vol. 19, Issue 2 pp.113-224
- Vol. 19, Issue 1 pp.1-112
Volume 18 - 2000
- Vol. 18, Issue 6 pp.561-672
- Vol. 18, Issue 5 pp.449-560
- Vol. 18, Issue 4 pp.337-448
- Vol. 18, Issue 3 pp.225-336
- Vol. 18, Issue 2 pp.113-224
- Vol. 18, Issue 1 pp.1-112
Volume 17 - 1999
- Vol. 17, Issue 6 pp.561-672
- Vol. 17, Issue 5 pp.449-560
- Vol. 17, Issue 4 pp.337-448
- Vol. 17, Issue 3 pp.225-336
- Vol. 17, Issue 2 pp.113-224
- Vol. 17, Issue 1 pp.1-112
Volume 16 - 1998
- Vol. 16, Issue 6 pp.481-576
- Vol. 16, Issue 5 pp.385-480
- Vol. 16, Issue 4 pp.289-384
- Vol. 16, Issue 3 pp.193-288
- Vol. 16, Issue 2 pp.97-192
- Vol. 16, Issue 1 pp.1-96
Volume 15 - 1997
- Vol. 15, Issue 4 pp.289-384
- Vol. 15, Issue 3 pp.193-288
- Vol. 15, Issue 2 pp.97-192
- Vol. 15, Issue 1 pp.1-96
Volume 14 - 1996
- Vol. 14, Issue 4 pp.291-386
- Vol. 14, Issue 3 pp.195-290
- Vol. 14, Issue 2 pp.99-194
- Vol. 14, Issue 1 pp.1-98
Volume 13 - 1995
- Vol. 13, Issue 4 pp.291-386
- Vol. 13, Issue 3 pp.193-290
- Vol. 13, Issue 2 pp.95-192
- Vol. 13, Issue 1 pp.1-94
Volume 12 - 1994
- Vol. 12, Issue 4 pp.291-386
- Vol. 12, Issue 3 pp.195-290
- Vol. 12, Issue 2 pp.98-194
- Vol. 12, Issue 1 pp.1-97
Volume 11 - 1993
- Vol. 11, Issue 4 pp.289-384
- Vol. 11, Issue 3 pp.193-288
- Vol. 11, Issue 2 pp.99-192
- Vol. 11, Issue 1 pp.1-98
Volume 10 - 1992
- Vol. 10, Issue 4 pp.291-387
- Vol. 10, Issue 3 pp.193-289
- Vol. 10, Issue 2 pp.97-193
- Vol. 10, Issue 1 pp.1-97
Volume 9 - 1991
- Vol. 9, Issue 4 pp.291-387
- Vol. 9, Issue 3 pp.193-289
- Vol. 9, Issue 2 pp.97-193
- Vol. 9, Issue 1 pp.1-96
Volume 8 - 1990
- Vol. 8, Issue 4 pp.289-385
- Vol. 8, Issue 3 pp.195-288
- Vol. 8, Issue 2 pp.99-194
- Vol. 8, Issue 1 pp.1-98
Volume 7 - 1989
- Vol. 7, Issue 4 pp.321-417
- Vol. 7, Issue 3 pp.227-320
- Vol. 7, Issue 2 pp.98-225
- Vol. 7, Issue 1 pp.1-96
Volume 6 - 1988
- Vol. 6, Issue 4 pp.293-382
- Vol. 6, Issue 3 pp.193-292
- Vol. 6, Issue 2 pp.97-192
- Vol. 6, Issue 1 pp.1-97
Volume 5 - 1987
- Vol. 5, Issue 4 pp.287-382
- Vol. 5, Issue 3 pp.191-286
- Vol. 5, Issue 2 pp.95-190
- Vol. 5, Issue 1 pp.1-94
Volume 4 - 1986
- Vol. 4, Issue 4 pp.289-382
- Vol. 4, Issue 3 pp.191-288
- Vol. 4, Issue 2 pp.97-191
- Vol. 4, Issue 1 pp.1-96
Volume 3 - 1985
- Vol. 3, Issue 4 pp.289-384
- Vol. 3, Issue 3 pp.193-288
- Vol. 3, Issue 2 pp.97-192
- Vol. 3, Issue 1 pp.1-96
Volume 2 - 1984
- Vol. 2, Issue 4 pp.287-381
- Vol. 2, Issue 3 pp.189-286
- Vol. 2, Issue 2 pp.93-188
- Vol. 2, Issue 1 pp.1-92
Volume 1 - 1983
- Vol. 1, Issue 4 pp.303-383
- Vol. 1, Issue 3 pp.195-302
- Vol. 1, Issue 2 pp.99-194
- Vol. 1, Issue 1 pp.1-98

Volume 2, Issue 2

Li-Zhi Xu & Jia-Xin Yang

J. Comp. Math., 2 (1984), pp. 164-169.

Published online: 1984-02

Preview Full PDF 2568 25533

Cited by

google scholar semantic scholar

Export citation

Abstract

The object of this paper is to construct a class of multivariate rational interpolation formulas that can be used to solve interpolation problems with function data given at equidistant knots of various directed lines in the higher dimensional Euclidean space. Our formulas are built up of some explicit multivariate rational functions involving three sets of free parameters so that they enjoy sufficient flexibility for interpolating functions of several variables possessing certain kinds of singularities. The method adopted is an extension and modification of that described in our previous papers.

Keywords

AMS Subject Headings

Email address

BibTex
RIS
TXT

@Article{JCM-2-164, author = {Li-Zhi Xu and Jia-Xin Yang}, title = {A Class of Multivariate Rational Interpolation Formulas}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {2}, pages = {164--169}, abstract = {

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9650.html} }

TY - JOUR T1 - A Class of Multivariate Rational Interpolation Formulas AU - Li-Zhi Xu & Jia-Xin Yang JO - Journal of Computational Mathematics VL - 2 SP - 164 EP - 169 PY - 1984 DA - 1984/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9650.html KW - AB -

Li-Zhi Xu and Jia-Xin Yang. (1984). A Class of Multivariate Rational Interpolation Formulas. Journal of Computational Mathematics. 2 (2). 164-169. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -