A large-scale trust-region approach to the regularization of discrete ill-posed problems

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dc.contributor.advisorSorensen, Danny C.en_US
dc.creatorRojas, Marielbaen_US
dc.date.accessioned2009-06-04T06:45:59Zen_US
dc.date.available2009-06-04T06:45:59Zen_US
dc.date.issued1999en_US
dc.description.abstractWe consider the problem of computing the solution of large-scale discrete ill-posed problems when there is noise in the data. These problems arise in important areas such as seismic inversion, medical imaging and signal processing. We pose the problem as a quadratically constrained least squares problem and develop a method for the solution of such problem. Our method does not require factorization of the coefficient matrix, it has very low storage requirements and handles the high degree of singularities arising in discrete ill-posed problems. We present numerical results on test problems and an application of the method to a practical problem with real data.en_US
dc.format.extent123 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 1999 ROJASen_US
dc.identifier.citationRojas, Marielba. "A large-scale trust-region approach to the regularization of discrete ill-posed problems." (1999) Diss., Rice University. <a href="https://hdl.handle.net/1911/19422">https://hdl.handle.net/1911/19422</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/19422en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.subjectComputer scienceen_US
dc.titleA large-scale trust-region approach to the regularization of discrete ill-posed problemsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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