v2009.01.01 - Convex Optimization
v2009.01.01 - Convex Optimization v2009.01.01 - Convex Optimization
730 BIBLIOGRAPHY [117] César Fernández, Thomas Szyperski, Thierry Bruyère, Paul Ramage, Egon Mösinger, and Kurt Wüthrich. NMR solution structure of the pathogenesis-related protein P14a. Journal of Molecular Biology, 266:576–593, 1997. [118] Richard Phillips Feynman, Robert B. Leighton, and Matthew L. Sands. The Feynman Lectures on Physics: Commemorative Issue, volume I. Addison-Wesley, 1989. [119] P. A. Fillmore and J. P. Williams. Some convexity theorems for matrices. Glasgow Mathematical Journal, 12:110–117, 1971. [120] Paul Finsler. Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen. Commentarii Mathematici Helvetici, 9:188–192, 1937. [121] Anders Forsgren, Philip E. Gill, and Margaret H. Wright. Interior methods for nonlinear optimization. SIAM Review, 44(4):525–597, 2002. [122] Shmuel Friedland and Anatoli Torokhti. Generalized rank-constrained matrix approximations. SIAM Journal on Matrix Analysis and Applications, 29(2):656–659, March 2007. http://www2.math.uic.edu/∼friedlan/frtor8.11.06.pdf [123] Norbert Gaffke and Rudolf Mathar. A cyclic projection algorithm via duality. Metrika, 36:29–54, 1989. [124] Jérôme Galtier. Semi-definite programming as a simple extension to linear programming: convex optimization with queueing, equity and other telecom functionals. In 3ème Rencontres Francophones sur les Aspects Algorithmiques des Télécommunications (AlgoTel). INRIA, France, 2001. www-sop.inria.fr/mascotte/Jerome.Galtier/misc/Galtier01b.pdf [125] Laurent El Ghaoui. EE 227A: Convex Optimization and Applications, Lecture 11 − October 3. University of California, Berkeley, Fall 2006. Scribe: Nikhil Shetty. http://www.convexoptimization.com/TOOLS/Ghaoui.pdf [126] Laurent El Ghaoui and Silviu-Iulian Niculescu, editors. Advances in Linear Matrix Inequality Methods in Control. SIAM, 2000. [127] Philip E. Gill, Walter Murray, and Margaret H. Wright. Numerical Linear Algebra and Optimization, volume 1. Addison-Wesley, 1991. [128] Philip E. Gill, Walter Murray, and Margaret H. Wright. Practical Optimization. Academic Press, 1999. [129] James Gleik. Isaac Newton. Pantheon Books, 2003. [130] W. Glunt, Tom L. Hayden, S. Hong, and J. Wells. An alternating projection algorithm for computing the nearest Euclidean distance matrix. SIAM Journal on Matrix Analysis and Applications, 11(4):589–600, 1990. [131] K. Goebel and W. A. Kirk. Topics in Metric Fixed Point Theory. Cambridge University Press, 1990.
BIBLIOGRAPHY 731 [132] Michel X. Goemans and David P. Williamson. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the Association for Computing Machinery, 42(6):1115–1145, November 1995. http://www-math.mit.edu/∼goemans/maxcut-jacm.pdf [133] D. Goldfarb and K. Scheinberg. Interior point trajectories in semidefinite programming. SIAM Journal on Optimization, 8(4):871–886, 1998. [134] Gene H. Golub and Charles F. Van Loan. Matrix Computations. Johns Hopkins, third edition, 1996. [135] P. Gordan. Ueber die auflösung linearer gleichungen mit reellen coefficienten. Mathematische Annalen, 6:23–28, 1873. [136] John Clifford Gower. Euclidean distance geometry. The Mathematical Scientist, 7:1–14, 1982. http://www.convexoptimization.com/TOOLS/Gower2.pdf [137] John Clifford Gower. Properties of Euclidean and non-Euclidean distance matrices. Linear Algebra and its Applications, 67:81–97, 1985. http://www.convexoptimization.com/TOOLS/Gower1.pdf [138] John Clifford Gower and Garmt B. Dijksterhuis. Procrustes Problems. Oxford University Press, 2004. [139] John Clifford Gower and David J. Hand. Biplots. Chapman & Hall, 1996. [140] Alexander Graham. Kronecker Products and Matrix Calculus with Applications. Ellis Horwood Limited, 1981. [141] Michael Grant, Stephen Boyd, and Yinyu Ye. cvx: Matlab software for disciplined convex programming, 2007. http://www.stanford.edu/∼boyd/cvx [142] Robert M. Gray. Toeplitz and circulant matrices: A review, 2002. http://www-ee.stanford.edu/∼gray/toeplitz.pdf [143] T. N. E. Greville. Note on the generalized inverse of a matrix product. SIAM Review, 8:518–521, 1966. [144] Rémi Gribonval and Morten Nielsen. Highly sparse representations from dictionaries are unique and independent of the sparseness measure, October 2003. http://www.math.aau.dk/research/reports/R-2003-16.pdf [145] Rémi Gribonval and Morten Nielsen. Sparse representations in unions of bases. IEEE Transactions on Information Theory, 49(12):1320–1325, December 2003. http://www.math.aau.dk/∼mnielsen/papers.htm [146] Karolos M. Grigoriadis and Eric B. Beran. Alternating projection algorithms for linear matrix inequalities problems with rank constraints. In Laurent El Ghaoui and Silviu-Iulian Niculescu, editors, Advances in Linear Matrix Inequality Methods in Control, chapter 13, pages 251–267. SIAM, 2000.
- Page 679 and 680: E.9. PROJECTION ON CONVEX SET 679 P
- Page 681 and 682: E.9. PROJECTION ON CONVEX SET 681 E
- Page 683 and 684: E.9. PROJECTION ON CONVEX SET 683 T
- Page 685 and 686: E.9. PROJECTION ON CONVEX SET 685
- Page 687 and 688: E.10. ALTERNATING PROJECTION 687 E.
- Page 689 and 690: E.10. ALTERNATING PROJECTION 689 b
- Page 691 and 692: E.10. ALTERNATING PROJECTION 691 a
- Page 693 and 694: E.10. ALTERNATING PROJECTION 693 (a
- Page 695 and 696: E.10. ALTERNATING PROJECTION 695 wh
- Page 697 and 698: E.10. ALTERNATING PROJECTION 697 E.
- Page 699 and 700: E.10. ALTERNATING PROJECTION 699 10
- Page 701 and 702: E.10. ALTERNATING PROJECTION 701 E.
- Page 703 and 704: E.10. ALTERNATING PROJECTION 703 E
- Page 705 and 706: Appendix F Notation and a few defin
- Page 707 and 708: 707 a.i. c.i. l.i. w.r.t affinely i
- Page 709 and 710: 709 is or ← → t → 0 + as in
- Page 711 and 712: 711 ∑ π(γ) Ξ Π ∏ ψ(Z) D D
- Page 713 and 714: 713 R m×n Euclidean vector space o
- Page 715 and 716: 715 H − H + ∂H ∂H ∂H −
- Page 717 and 718: 717 O O sort-index matrix order of
- Page 719 and 720: (x,y) angle between vectors x and y
- Page 721 and 722: Bibliography [1] Suliman Al-Homidan
- Page 723 and 724: BIBLIOGRAPHY 723 [24] Alexander I.
- Page 725 and 726: BIBLIOGRAPHY 725 [52] Stephen Boyd,
- Page 727 and 728: BIBLIOGRAPHY 727 [78] Frank Critchl
- Page 729: BIBLIOGRAPHY 729 [105] Richard L. D
- Page 733 and 734: BIBLIOGRAPHY 733 [162] T. Herrmann,
- Page 735 and 736: BIBLIOGRAPHY 735 [191] Mark Kahrs a
- Page 737 and 738: BIBLIOGRAPHY 737 [220] K. V. Mardia
- Page 739 and 740: BIBLIOGRAPHY 739 [250] Pythagoras P
- Page 741 and 742: BIBLIOGRAPHY 741 [277] Anthony Man-
- Page 743 and 744: BIBLIOGRAPHY 743 [306] Michael W. T
- Page 745 and 746: [333] Margaret H. Wright. The inter
- Page 747 and 748: Index 0-norm, 203, 261, 294, 296, 2
- Page 749 and 750: INDEX 749 product, 43, 92, 147, 254
- Page 751 and 752: INDEX 751 coordinates, 140, 170, 17
- Page 753 and 754: INDEX 753 affine dimension, 485 fea
- Page 755 and 756: INDEX 755 affine, 209 nonlinear, 19
- Page 757 and 758: INDEX 757 of point, 37 ray, 90 rela
- Page 759 and 760: INDEX 759 normal, 47, 548, 563 norm
- Page 761 and 762: INDEX 761 strictly, 515, 520 functi
- Page 763 and 764: INDEX 763 vector, 45, 241, 248, 325
- Page 765 and 766: INDEX 765 convex envelope, see conv
- Page 767 and 768: INDEX 767 cone, 418, 420, 507 dual,
- Page 769 and 770: INDEX 769 trilateration, 21, 42, 36
- Page 772: Convex Optimization & Euclidean Dis
730 BIBLIOGRAPHY<br />
[117] César Fernández, Thomas Szyperski, Thierry Bruyère, Paul Ramage, Egon<br />
Mösinger, and Kurt Wüthrich. NMR solution structure of the pathogenesis-related<br />
protein P14a. Journal of Molecular Biology, 266:576–593, 1997.<br />
[118] Richard Phillips Feynman, Robert B. Leighton, and Matthew L. Sands. The<br />
Feynman Lectures on Physics: Commemorative Issue, volume I. Addison-Wesley,<br />
1989.<br />
[119] P. A. Fillmore and J. P. Williams. Some convexity theorems for matrices. Glasgow<br />
Mathematical Journal, 12:110–117, 1971.<br />
[120] Paul Finsler. Über das Vorkommen definiter und semidefiniter Formen in Scharen<br />
quadratischer Formen. Commentarii Mathematici Helvetici, 9:188–192, 1937.<br />
[121] Anders Forsgren, Philip E. Gill, and Margaret H. Wright. Interior methods for<br />
nonlinear optimization. SIAM Review, 44(4):525–597, 2002.<br />
[122] Shmuel Friedland and Anatoli Torokhti. Generalized rank-constrained matrix<br />
approximations. SIAM Journal on Matrix Analysis and Applications, 29(2):656–659,<br />
March 2007.<br />
http://www2.math.uic.edu/∼friedlan/frtor8.11.06.pdf<br />
[123] Norbert Gaffke and Rudolf Mathar. A cyclic projection algorithm via duality.<br />
Metrika, 36:29–54, 1989.<br />
[124] Jérôme Galtier. Semi-definite programming as a simple extension to linear<br />
programming: convex optimization with queueing, equity and other telecom<br />
functionals. In 3ème Rencontres Francophones sur les Aspects Algorithmiques des<br />
Télécommunications (AlgoTel). INRIA, France, 2001.<br />
www-sop.inria.fr/mascotte/Jerome.Galtier/misc/Galtier01b.pdf<br />
[125] Laurent El Ghaoui. EE 227A: <strong>Convex</strong> <strong>Optimization</strong> and Applications, Lecture 11<br />
− October 3. University of California, Berkeley, Fall 2006. Scribe: Nikhil Shetty.<br />
http://www.convexoptimization.com/TOOLS/Ghaoui.pdf<br />
[126] Laurent El Ghaoui and Silviu-Iulian Niculescu, editors. Advances in Linear Matrix<br />
Inequality Methods in Control. SIAM, 2000.<br />
[127] Philip E. Gill, Walter Murray, and Margaret H. Wright. Numerical Linear Algebra<br />
and <strong>Optimization</strong>, volume 1. Addison-Wesley, 1991.<br />
[128] Philip E. Gill, Walter Murray, and Margaret H. Wright. Practical <strong>Optimization</strong>.<br />
Academic Press, 1999.<br />
[129] James Gleik. Isaac Newton. Pantheon Books, 2003.<br />
[130] W. Glunt, Tom L. Hayden, S. Hong, and J. Wells. An alternating projection<br />
algorithm for computing the nearest Euclidean distance matrix. SIAM Journal<br />
on Matrix Analysis and Applications, 11(4):589–600, 1990.<br />
[131] K. Goebel and W. A. Kirk. Topics in Metric Fixed Point Theory. Cambridge<br />
University Press, 1990.