v2009.01.01 - Convex Optimization

v2009.01.01 - Convex Optimization v2009.01.01 - Convex Optimization

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736 BIBLIOGRAPHY [206] Monique Laurent and Franz Rendl. Semidefinite programming and integer programming. Optimization Online, 2002. http://www.optimization-online.org/DB HTML/2002/12/585.html [207] Monique Laurent and Franz Rendl. Semidefinite programming and integer programming. In K. Aardal, George L. Nemhauser, and R. Weismantel, editors, Discrete Optimization, volume 12 of Handbooks in Operations Research and Management Science, chapter 8, pages 393–514. Elsevier, 2005. [208] Charles L. Lawson and Richard J. Hanson. Solving Least Squares Problems. SIAM, 1995. [209] Jung Rye Lee. The law of cosines in a tetrahedron. Journal of the Korea Society of Mathematical Education Series B: The Pure and Applied Mathematics, 4(1):1–6, 1997. [210] Vladimir L. Levin. Quasi-convex functions and quasi-monotone operators. Journal of Convex Analysis, 2(1/2):167–172, 1995. [211] Scott Nathan Levine. Audio Representations for Data Compression and Compressed Domain Processing. PhD thesis, Stanford University, Department of Electrical Engineering, 1999. http://www-ccrma.stanford.edu/∼scottl/thesis/thesis.pdf [212] Adrian S. Lewis. Eigenvalue-constrained faces. Linear Algebra and its Applications, 269:159–181, 1998. [213] Anhua Lin. Projection algorithms in nonlinear programming. PhD thesis, Johns Hopkins University, 2003. [214] Miguel Sousa Lobo, Lieven Vandenberghe, Stephen Boyd, and Hervé Lebret. Applications of second-order cone programming. Linear Algebra and its Applications, 284:193–228, November 1998. Special Issue on Linear Algebra in Control, Signals and Image Processing. http://www.stanford.edu/∼boyd/socp.html [215] David G. Luenberger. Optimization by Vector Space Methods. Wiley, 1969. [216] David G. Luenberger. Introduction to Dynamic Systems: Theory, Models, & Applications. Wiley, 1979. [217] David G. Luenberger. Linear and Nonlinear Programming. Addison-Wesley, second edition, 1989. [218] Zhi-Quan Luo, Jos F. Sturm, and Shuzhong Zhang. Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming. SIAM Journal on Optimization, 8(1):59–81, 1998. [219] Zhi-Quan Luo and Wei Yu. An introduction to convex optimization for communications and signal processing. IEEE Journal On Selected Areas In Communications, 24(8):1426–1438, August 2006.

BIBLIOGRAPHY 737 [220] K. V. Mardia. Some properties of classical multi-dimensional scaling. Communications in Statistics: Theory and Methods, A7(13):1233–1241, 1978. [221] K. V. Mardia, J. T. Kent, and J. M. Bibby. Multivariate Analysis. Academic Press, 1979. [222] Jerrold E. Marsden and Michael J. Hoffman. Elementary Classical Analysis. Freeman, second edition, 1995. [223] Rudolf Mathar. The best Euclidean fit to a given distance matrix in prescribed dimensions. Linear Algebra and its Applications, 67:1–6, 1985. [224] Rudolf Mathar. Multidimensionale Skalierung. B. G. Teubner Stuttgart, 1997. [225] Nathan S. Mendelsohn and A. Lloyd Dulmage. The convex hull of sub-permutation matrices. Proceedings of the American Mathematical Society, 9(2):253–254, April 1958. http://www.convexoptimization.com/TOOLS/permu.pdf [226] Mehran Mesbahi and G. P. Papavassilopoulos. On the rank minimization problem over a positive semi-definite linear matrix inequality. IEEE Transactions on Automatic Control, 42(2):239–243, 1997. [227] Mehran Mesbahi and G. P. Papavassilopoulos. Solving a class of rank minimization problems via semi-definite programs, with applications to the fixed order output feedback synthesis. In Proceedings of the American Control Conference, volume 1, pages 77–80. American Automatic Control Council (AACC), June 1997. [228] Sunderarajan S. Mohan, Mar Hershenson, Stephen Boyd, and Thomas Lee. Simple accurate expressions for planar spiral inductances. IEEE Journal of Solid-State Circuits, 1999. [229] Sunderarajan S. Mohan, Mar Hershenson, Stephen Boyd, and Thomas Lee. Bandwidth extension in CMOS with optimized on-chip inductors. IEEE Journal of Solid-State Circuits, 2000. [230] E. H. Moore. On the reciprocal of the general algebraic matrix. Bulletin of the American Mathematical Society, 26:394–395, 1920. Abstract. [231] B. S. Mordukhovich. Maximum principle in the problem of time optimal response with nonsmooth constraints. Journal of Applied Mathematics and Mechanics, 40:960–969, 1976. [232] Jean-Jacques Moreau. Décomposition orthogonale d’un espace Hilbertien selon deux cônes mutuellement polaires. Comptes Rendus de l’Académie des Sciences, Paris, 255:238–240, 1962. [233] T. S. Motzkin and I. J. Schoenberg. The relaxation method for linear inequalities. Canadian Journal of Mathematics, 6:393–404, 1954. [234] Neil Muller, Lourenço Magaia, and B. M. Herbst. Singular value decomposition, eigenfaces, and 3D reconstructions. SIAM Review, 46(3):518–545, September 2004.

736 BIBLIOGRAPHY<br />

[206] Monique Laurent and Franz Rendl. Semidefinite programming and integer<br />

programming. <strong>Optimization</strong> Online, 2002.<br />

http://www.optimization-online.org/DB HTML/2002/12/585.html<br />

[207] Monique Laurent and Franz Rendl. Semidefinite programming and integer<br />

programming. In K. Aardal, George L. Nemhauser, and R. Weismantel, editors,<br />

Discrete <strong>Optimization</strong>, volume 12 of Handbooks in Operations Research and<br />

Management Science, chapter 8, pages 393–514. Elsevier, 2005.<br />

[208] Charles L. Lawson and Richard J. Hanson. Solving Least Squares Problems. SIAM,<br />

1995.<br />

[209] Jung Rye Lee. The law of cosines in a tetrahedron. Journal of the Korea Society<br />

of Mathematical Education Series B: The Pure and Applied Mathematics, 4(1):1–6,<br />

1997.<br />

[210] Vladimir L. Levin. Quasi-convex functions and quasi-monotone operators. Journal<br />

of <strong>Convex</strong> Analysis, 2(1/2):167–172, 1995.<br />

[211] Scott Nathan Levine. Audio Representations for Data Compression and Compressed<br />

Domain Processing. PhD thesis, Stanford University, Department of Electrical<br />

Engineering, 1999.<br />

http://www-ccrma.stanford.edu/∼scottl/thesis/thesis.pdf<br />

[212] Adrian S. Lewis. Eigenvalue-constrained faces. Linear Algebra and its Applications,<br />

269:159–181, 1998.<br />

[213] Anhua Lin. Projection algorithms in nonlinear programming. PhD thesis, Johns<br />

Hopkins University, 2003.<br />

[214] Miguel Sousa Lobo, Lieven Vandenberghe, Stephen Boyd, and Hervé Lebret.<br />

Applications of second-order cone programming. Linear Algebra and its<br />

Applications, 284:193–228, November 1998. Special Issue on Linear Algebra<br />

in Control, Signals and Image Processing.<br />

http://www.stanford.edu/∼boyd/socp.html<br />

[215] David G. Luenberger. <strong>Optimization</strong> by Vector Space Methods. Wiley, 1969.<br />

[216] David G. Luenberger. Introduction to Dynamic Systems: Theory, Models, &<br />

Applications. Wiley, 1979.<br />

[217] David G. Luenberger. Linear and Nonlinear Programming. Addison-Wesley, second<br />

edition, 1989.<br />

[218] Zhi-Quan Luo, Jos F. Sturm, and Shuzhong Zhang. Superlinear convergence of<br />

a symmetric primal-dual path following algorithm for semidefinite programming.<br />

SIAM Journal on <strong>Optimization</strong>, 8(1):59–81, 1998.<br />

[219] Zhi-Quan Luo and Wei Yu. An introduction to convex optimization for<br />

communications and signal processing. IEEE Journal On Selected Areas In<br />

Communications, 24(8):1426–1438, August 2006.

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