### Early termination in sparse interpolation algorithms

Erich Kaltofen, Wen-shin Lee
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ezljl2d3lzga5efenbxdvvfcpa" style="color: black;">Journal of symbolic computation</a> </i> &nbsp;
A probabilistic strategy, early termination, enables different interpolation algorithms to adapt to the degree or the number of terms in the target polynomial when neither is supplied in the input. In addition to dense algorithms, we implement this strategy in sparse interpolation algorithms. Based on early termination, racing algorithms execute simultaneously dense and sparse algorithms. The racing algorithms can be embedded as the univariate interpolation substep within Zippel's multivariate
more &raquo; ... ethod. In addition, we experimentally verify some heuristics of early termination, which make use of thresholds and post-verification. where n is the number of columns in A and #(J ) = #(L) = i . Applying (8) to (7) with I = {1, . . . , i } for 1 ≤ i ≤ t, we have det A i = (B i C tB Tr i ) I,I =
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0747-7171(03)00088-9">doi:10.1016/s0747-7171(03)00088-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bna2bi7uzvh5nfvlbh2feg2kka">fatcat:bna2bi7uzvh5nfvlbh2feg2kka</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170929054053/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/748/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMDc0NzcxNzEwMzAwMDg4OQ%3D%3D.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9b/94/9b94b7bd9d3143c6571d85c88893caa745d1e3e2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0747-7171(03)00088-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>