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An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials
Huang, Qiaolong
2018-04-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume31Issue:2Pages:539-551
AbstractThis paper presents an improved early termination algorithm for sparse black box multivariate polynomials, which reduces the interpolation problem into several sub-interpolation problems with less variables and fewer terms. Actually, all interpolations are eventually reduced to the interpolation of a list of polynomials with less terms than that of the original polynomial. Extensive experiments show that the new algorithm is much faster than the original algorithm.
KeywordBen-Or and Tiwari's algorithm early termination algorithm recursive sparse interpolation
DOI10.1007/s11424-017-6143-3
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000427907200013
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29828
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Qiaolong. An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2018,31(2):539-551.
APA Huang, Qiaolong.(2018).An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,31(2),539-551.
MLA Huang, Qiaolong."An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 31.2(2018):539-551.
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