{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T12:58:10Z","timestamp":1777640290540,"version":"3.51.4"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,9,15]],"date-time":"2015-09-15T00:00:00Z","timestamp":1442275200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2016,6]]},"DOI":"10.1007\/s11075-015-0054-y","type":"journal-article","created":{"date-parts":[[2015,9,14]],"date-time":"2015-09-14T21:26:51Z","timestamp":1442266011000},"page":"435-445","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":40,"title":["B-Nekrasov matrices and error bounds for linear complementarity problems"],"prefix":"10.1007","volume":"72","author":[{"given":"M.","family":"Garc\u00eda-Esnaola","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. M.","family":"Pe\u00f1a","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,9,15]]},"reference":[{"key":"54_CR1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971262","volume-title":"Nonnegative matrices in the mathematical sciences, Classics in Applied Mathematics 9","author":"A Berman","year":"1994","unstructured":"Berman, A., Plemmons, R.J.: Nonnegative matrices in the mathematical sciences, Classics in Applied Mathematics 9. SIAM, Philadelphia (1994)"},{"key":"54_CR2","doi-asserted-by":"crossref","unstructured":"Chen, T., Li, W., Wu, X., Vong, S.: Error bounds for linear complementarity problems of MB-matrices. To appear in Numer. Algor. (doi: 10.1007\/s11075-014-9950-9 )","DOI":"10.1007\/s11075-014-9950-9"},{"key":"54_CR3","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/s10107-005-0645-9","volume":"106","author":"X Chen","year":"2006","unstructured":"Chen, X., Xiang, S.: Computation of error bounds for P-matrix linear complementarity problems. Math. Program., Ser. A 106, 513\u2013525 (2006)","journal-title":"Math. Program., Ser. A"},{"key":"54_CR4","volume-title":"The linear complementarity problems","author":"RW Cottle","year":"1992","unstructured":"Cottle, R.W., Pang, J.-S., Stone, R.E.: The linear complementarity problems. Academic Press, Boston (1992)"},{"key":"54_CR5","doi-asserted-by":"crossref","first-page":"5020","DOI":"10.1016\/j.amc.2012.11.056","volume":"219","author":"L Cvetkovi\u0107","year":"2013","unstructured":"Cvetkovi\u0107, L., Dai, P.-F., Doroslova\u0161ki, K., Li, Y.-T.: Infinity norm bounds for the inverse of Nekrasov matrices. Appl. Math. Comput. 219, 5020\u20135024 (2013)","journal-title":"Appl. Math. Comput."},{"key":"54_CR6","doi-asserted-by":"crossref","first-page":"830","DOI":"10.1016\/j.laa.2010.09.049","volume":"434","author":"P-F Dai","year":"2011","unstructured":"Dai, P.-F.: Error bounds for linear complementarity problems of DB-matrices. Linear Algebra Appl. 434, 830\u2013840 (2011)","journal-title":"Linear Algebra Appl."},{"key":"54_CR7","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1007\/s11075-012-9691-6","volume":"64","author":"P-F Dai","year":"2013","unstructured":"Dai, P.-F., Lu, Ch.-J., Li, Y.-T.: New error bounds for the linear complementarity problem with an SB-matrix. Numer. Algor. 64, 741\u2013757 (2013)","journal-title":"Numer. Algor."},{"key":"54_CR8","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1016\/j.aml.2008.09.001","volume":"22","author":"M Garc\u00eda-Esnaola","year":"2009","unstructured":"Garc\u00eda-Esnaola, M., Pe\u00f1a, J. M.: Error bounds for linear complementarity problems for B-matrices. Appl. Math. Lett. 22, 1071\u20131075 (2009)","journal-title":"Appl. Math. Lett."},{"key":"54_CR9","doi-asserted-by":"crossref","first-page":"956","DOI":"10.1016\/j.laa.2010.04.024","volume":"433","author":"M Garc\u00eda-Esnaola","year":"2010","unstructured":"Garc\u00eda-Esnaola, M., Pe\u00f1a, J.M.: A comparison of error bounds for linear complementarity problems of H-matrices. Linear Algebra Appl. 433, 956\u2013964 (2010)","journal-title":"Linear Algebra Appl."},{"key":"54_CR10","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1016\/j.aml.2011.12.006","volume":"25","author":"M Garc\u00eda-Esnaola","year":"2012","unstructured":"Garc\u00eda-Esnaola, M., Pe\u00f1a, J.M.: Error bounds for linear complementarity problems of B S -matrices. Appl. Math. Lett. 25, 1379\u20131383 (2012)","journal-title":"Appl. Math. Lett."},{"key":"54_CR11","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1007\/s11075-013-9815-7","volume":"67","author":"M Garc\u00eda-Esnaola","year":"2014","unstructured":"Garc\u00eda-Esnaola, M., Pe\u00f1a, J.M.: Error bounds for linear complementarity problems of Nekrasov matrices. Numer. Algor. 67, 655\u2013667 (2014)","journal-title":"Numer. Algor."},{"key":"54_CR12","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0024-3795(90)90058-K","volume":"132","author":"R Mathias","year":"1990","unstructured":"Mathias, R., Pang, J.-S.: Error bounds for the linear complementarity problem with a P-matrix. Linear Algebra Appl. 132, 123\u2013136 (1990)","journal-title":"Linear Algebra Appl."},{"key":"54_CR13","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1137\/S0895479800370342","volume":"22","author":"JM Pe\u00f1a","year":"2001","unstructured":"Pe\u00f1a, J.M.: A class of P-matrices with applications to the localization of the eigenvalues of a real matrix. SIAM J. Matrix Anal. Appl. 22, 1027\u20131037 (2001)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"54_CR14","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/s00211-002-0427-8","volume":"95","author":"JM Pe\u00f1a","year":"2003","unstructured":"Pe\u00f1a, J.M.: On an alternative to Gerschgorin circles and ovals of Cassini. Numer. Math. 95, 337\u2013345 (2003)","journal-title":"Numer. Math."},{"key":"54_CR15","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/0024-3795(95)00343-P","volume":"225","author":"T Szulc","year":"1995","unstructured":"Szulc, T.: Some remarks on a theorem of Gudkov. Linear Algebra Appl. 225, 221\u2013235 (1995)","journal-title":"Linear Algebra Appl."},{"key":"54_CR16","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0024-3795(75)90112-3","volume":"11","author":"JM Varah","year":"1975","unstructured":"Varah, J.M.: A lower bound for the smallest singular value of a matrix. Linear Algebra Appl. 11, 3\u20135 (1975)","journal-title":"Linear Algebra Appl."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-015-0054-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-015-0054-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-015-0054-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,30]],"date-time":"2019-08-30T10:41:56Z","timestamp":1567161716000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-015-0054-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9,15]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,6]]}},"alternative-id":["54"],"URL":"https:\/\/doi.org\/10.1007\/s11075-015-0054-y","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9,15]]}}}