In this thesis, I propose and study an efficient algorithm for solving a class of compressive sensing problems with total variation regularization. This research is motivated by the need for efficient solvers capable of restoring images to a high quality captured by the single pixel camera developed in the ECE department of Rice University. Based on the ideas of the augmented Lagrangian method and alternating minimization to solve subproblems, I develop an efficient and robust algorithm called TVAL3. TVAL3 is compared favorably with other widely used algorithms in terms of reconstruction speed and quality. Convincing numerical results are presented to show that TVAL3 is suitable for the single pixel camera as well as many other applications.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Hughes, Wayne P. Second Reader: Jackson, John E. "September 1990." Description based on title screen as viewed on December 21, 2009. DTIC Descriptor(s): Airships, Military Operations, Ships, Sizes(Dimensions), Naval Vessels, Ocean Surface, Models, Threats, Navy, Teams(Personnel), Costs, Surfaces, Military Force Levels, Area Defense, Fire Control Systems, Battle Group Level Organizations, Extrapolation, Surface Launched. DTIC Identifier(s): Airship, Fire Control Systems, Blimp, Lighter-than-air, SLAT Missile, Anti Ship Cruise Missile(ASCM), Over-the-horizon Targeting, Theses. Author(s) subject terms: Airship, Blimp, Lighter-than Air, SLAT Missile, Anti-ship Cruise Missile (ASCM), Over-the-Horizon Targeting. Includes bibliographical references (p. 136-138). Also available in print.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Gaver, Donald P. Second Reader: Gragg, William B. "September 1990." Description based on title screen as viewed on December 21, 2009. DTIC Identifier(s): Logistics, Combat support, Warfare, Cannibalization, Spare parts, Military operations, Mathematical models, Theses. Author(s) subject terms: Diffusion Approximation, Combat Logistics, Cannibalization, Availability. Includes bibliographical references (p. 80-81). Also available in print.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Thomas, George W. ; Gorman, Linda. Second Reader: Boger, Dan C. "September 1990." Description based on title screen as viewed on December 21, 2009. DTIC Descriptor(s): Behavior, Enlisted Personnel, Recruiting, Manpower, Military Applications, Logistics, All Volunteer, Theses, Attitudes(Psychology), Regression Analysis. Author(s) subject terms: Enlist, Propensity, Interest, YATS, Multinominal Logistics Regression. Includes bibliographical references (p. 92-93). Also available in print.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Bradley, Gordon H. Second Reader: Stemp, Roger. "September 1990." Description based on title screen as viewed on December 21, 2009. DTIC Descriptor(s): Computer Networks, Simplex Method, Computer Program Documentation, Optimization, Programming Languages, Theses, Time, FORTRAN, Tuning, Symbols, Parameters, Networks, Algorithms, Test And Evaluation, Data Bases. DTIC Identifier(s): Software Engineering. Author(s) subject terms: Network, C, Primal, Transportation, Transshipment, Simplex. Includes bibliographical references (p. 48-50). Also available in print.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Read, Robert R. ; Dryer, David A. Second Reader: Whitaker, Lyn R. "September 1990." DTIC Descriptor(s): Army Training, Combat Information Centers, Organizations, Training, Battalion Level Organizations, Battlefields, Task Forces, Attack, Missions, Standards, Graphics, Military Training, Archives, Combat Forces, Discriminate Analysis, Doctrine, Frequency, Data Processing. DTIC Identifier(s): National Training Center, Army Operation. Author(s) subject terms: National Training Center, Deliberate Attack, Operational. Description based on title screen as viewed on Dec. 22, 2009. Includes bibliographical references (p. 82). Also available in print.

Thesis--University of Florida. / Typescript. Vita. Description based on print version record. Includes bibliographical references (leaves 142-149).

Thesis (Ph. D.)--Rutgers University, 2008. / "Graduate Program in Operations Research." Includes bibliographical references (p. 93-98).

Thesis (M.S. in Operations Research)--Naval Postgraduate School, December 2009. / Thesis Advisor(s): Royset, Johannnes O. Second Reader: Kress, Moshe. "December 2009." Description based on title screen as viewed on January 29, 2010. Author(s) subject terms: Stochastic model, dynamic programming , stochastic optimization, Maritime Interdiction Missions, MIM, Maritime Interdiction Operations, MIO. Includes bibliographical references (p. 61). Also available in print.

Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 1990. / Thesis Advisor(s): Caldwell, William J. ; Johnson, Laura D. Second Reader: Whitaker, Lyn R. "September 1990." Description based on title screen as viewed on December 18, 2009. DTIC Descriptor(s): Test And Evaluation, Data Bases, Warfare, Land Warfare, Maximum Likelihood Estimation, Theory, Coherence, Planning, War Games, Battles, Corps Level Organizations. DTIC Identifier(s): Army Operations, War Games, Land Combat Operations, Theses, Army Planning, Data Bases, Mathematical Models. Author(s) subject terms: Land warfare, military planning, military science, theory of combat, categorical modeling, multivariate analysis. Includes bibliographical references (p. 52-53). Also available in print.