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The mixed variable pattern search algorithm for linearly constrained problems was applied by means of the NOMADm MATLAB software package. Numerical results are presented for several test configurations and show that, while there are difficulties yet to be overcome, the method is promising for solving this class of problems.<\/jats:p>","DOI":"10.1137\/08071380x","type":"journal-article","created":{"date-parts":[[2008,10,29]],"date-time":"2008-10-29T13:45:01Z","timestamp":1225287901000},"page":"322-342","source":"Crossref","is-referenced-by-count":22,"title":["Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization"],"prefix":"10.1137","volume":"1","author":[{"given":"Mark A.","family":"Abramson","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thomas J.","family":"Asaki","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"suffix":"Jr.","given":"J. E.","family":"Dennis,","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kevin R.","family":"O'Reilly","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rachael L.","family":"Pingel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,9,25]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"E. Aarts and J. K. Lenstra, eds.\n                      Local Search in Combinatorial Optimization\n                      , Princeton University Press, Princeton, NJ, 2003.","DOI":"10.1515\/9780691187563"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1826.1.153"},{"key":"R3","unstructured":"M. A. Abramson,\n                      NOMADm Optimization Software\n                      , http:\/\/www.gerad.ca\/NOMAD\/nomadm.html."},{"key":"R4","unstructured":"M. A. Abramson,\n                      Pattern Search Algorithms for Mixed Variable General Constrained Optimization Problems\n                      , Ph.D. thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2002."},{"key":"R5","first-page":"477","volume":"3","author":"Abramson M. A.","year":"2007","journal-title":"Pac. J. 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Mitton, I. Molina, H. Nishimoto, E. C. Ormond, P. A. Ortega, R. J. Quicksilver, R. N. Ridlon, E. A. Rose, D. W. Scholfield, I. Smith, A. R. Valerio, and R. White,\n                      Performance of the cygnus x-ray source\n                      , in Beams 2002, American Institute of Physics Conference Series 650, T. A. Mehlhorn and M. A. Sweeney, eds., 2002, pp. 135\u2013138."},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4073(88)90101-X"},{"key":"R30","unstructured":"T. A. Sriver, J. W. Chrissis, and M. A. Abramson,\n                      Pattern Search Ranking and Selection Algorithms for Mixed Variable Stochastic Optimization\n                      , 2004, preprint."},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623493250780"},{"key":"R32","first-page":"294","volume":"11","author":"Wiechert E.","year":"1910","journal-title":"Phys. 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