{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,28]],"date-time":"2025-04-28T20:25:01Z","timestamp":1745871901756},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1996,1,1]],"date-time":"1996-01-01T00:00:00Z","timestamp":820454400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1996,1]]},"DOI":"10.1007\/bf02592332","type":"journal-article","created":{"date-parts":[[2007,3,29]],"date-time":"2007-03-29T15:59:25Z","timestamp":1175183965000},"page":"65-82","source":"Crossref","is-referenced-by-count":13,"title":["A general parametric analysis approach and its implication to sensitivity analysis in interior point methods"],"prefix":"10.1007","volume":"72","author":[{"given":"Renato D. C.","family":"Monteiro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sanjay","family":"Mehrotra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02592332_CR1","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF01758841","volume":"8","author":"I. Adler","year":"1992","unstructured":"I. Adler and R.D.C. Monteiro, \u201cA geometric view of parametric linear programming,\u201dAlgorithmica 8 (1992) 161\u2013176.","journal-title":"Algorithmica"},{"key":"BF02592332_CR2","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF01585158","volume":"62","author":"R. Fourer","year":"1993","unstructured":"R. Fourer and S. Mehrotra, \u201cSolving symmetric indefinite systems in an interior-point method for linear programming,\u201dMathematical Programming 62 (1993) 15\u201339.","journal-title":"Mathematical Programming"},{"key":"BF02592332_CR3","first-page":"68","volume":"18","author":"J. Gauvin","year":"1980","unstructured":"J. Gauvin, \u201cQuelques precisions sur les prix marginaux en programmation lineaire,\u201dINFOR 18 (1980) 68\u201373 (in French).","journal-title":"INFOR"},{"key":"BF02592332_CR4","first-page":"53","volume-title":"Linear Inequalities and Related Systems","author":"A.J. Goldman","year":"1956","unstructured":"A.J. Goldman and A.W. Tucker, \u201cTheory of linear programming,\u201d in: H.W. Kuhn and A.W. Tucker eds.,Linear Inequalities and Related Systems (Princeton University Press, Princeton, NJ, 1956) pp. 53\u201397."},{"key":"BF02592332_CR5","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF01580610","volume":"60","author":"O. G\u00fcler","year":"1993","unstructured":"O. G\u00fcler and Y. Ye, \u201cConvergence behavior of interior-point algorithms,\u201dMathematical Programming 60 (1993) 215\u2013228.","journal-title":"Mathematical Programming"},{"key":"BF02592332_CR6","volume-title":"Applied Mathematical Programming","author":"S.P. Bradley","year":"1977","unstructured":"S.P. Bradley, A.C. Hax and T.L. Magnanti,Applied Mathematical Programming (Addison-Wesley, Reading, MA, 1977)."},{"key":"BF02592332_CR7","series-title":"Technical Report 92-21","volume-title":"An interior point approach to postoptimal and parametric analysis in linear programming","author":"B. Jansen","year":"1992","unstructured":"B. Jansen, C. Roos and T. Terlaky, \u201cAn interior point approach to postoptimal and parametric analysis in linear programming,\u201d Technical Report 92-21, Faculty of Technical Mathematics and Informatics, TU Delft, Netherlands, 1992."},{"key":"BF02592332_CR8","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1287\/ijoc.3.1.63","volume":"3","author":"N. Megiddo","year":"1991","unstructured":"N. Megiddo, \u201cOn finding primal and dual optimal bases,\u201dORSA Journal on Computing 3 (1991) 63\u201365.","journal-title":"ORSA Journal on Computing"},{"key":"BF02592332_CR9","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1007\/BF01585180","volume":"62","author":"S. Mehrotra","year":"1993","unstructured":"S. Mehrotra and Y. Ye, \u201cFinding an interior point in the optimal face of linear programs,\u201dMathematical Programming 62 (1993) 497\u2013515.","journal-title":"Mathematical Programming"},{"key":"BF02592332_CR10","volume-title":"Linear Programming","author":"K.G. Murty","year":"1983","unstructured":"K.G. Murty, \u201cLinear Programming,\u201d (Wiley, New York, 1983)."},{"key":"BF02592332_CR11","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"R.T. Rockafellar,Convex Analysis (Princeton University Press, Princeton, NJ, 1970)."},{"key":"BF02592332_CR12","volume-title":"Mathematical Programming: Structures and Algorithms","author":"J.F. Shapiro","year":"1979","unstructured":"J.F. Shapiro,Mathematical Programming: Structures and Algorithms (Wiley, New York, 1979)."},{"key":"BF02592332_CR13","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1016\/0167-6377(91)90073-X","volume":"10","author":"R.J. Vanderbei","year":"1991","unstructured":"R.J. Vanderbei, \u201cA brief description of ALPO,\u201dOperations Research Letters 10 (1991) 531\u2013534.","journal-title":"Operations Research Letters"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02592332.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02592332\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02592332","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T23:37:55Z","timestamp":1558395475000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02592332"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,1]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,1]]}},"alternative-id":["BF02592332"],"URL":"https:\/\/doi.org\/10.1007\/bf02592332","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,1]]}}}