[1]    R.J. Vanderbei. Linear Programming: Foundations and Extensions. Kluwer Academic Publishers, 2nd edition, 2001.

[2]    R.J. Vanderbei. LOQO: An interior point code for quadratic programming. Optimization Methods and Software, 12:451–484, 1999.

[3]    C. Helmberg, F. Rendl, R.J. Vanderbei, and H. Wolkowicz. An interior point method for semidefinite programming. SIAM Journal on Optimization, 6:342–361, 1996.

[4]    R.J. Vanderbei and D.F. Shanno. An Interior-Point Algorithm for Nonconvex Nonlinear Programming. Computational Optimization and Applications, 13:231–252, 1999.

[5]    J.M. Mulvey, R.J. Vanderbei, and S.A. Zenios. Robust optimization of large scale systems. Operations Research, 43(2):264–281, 1995.

[6]    N.J. Kasdin, R.J. Vanderbei, D.N. Spergel, and M.G. Littman. Extrasolar Planet Finding via Optimal Apodized and Shaped Pupil Coronagraphs. Astrophysical Journal, 582:1147–1161, 2003.

[7]    R.J. Vanderbei. Appendix A: Discrete space markov processes. In Large Deviations for Performance Analysis by A. Weiss and A. Shwartz, pages 499–514. Chapman-Hall, 1995.

[8]    R.J. Vanderbei, M.S. Meketon, and B.F. Freedman. A modification of Karmarkar’s linear programming algorithm. Algorithmica, 1:395–407, 1986.

[9]    R.J. Vanderbei. Symmetric quasi-definite matrices. SIAM Journal on Optimization, 5(1):100–113, 1995.

[10]    H.Y. Benson, D.F. Shanno, and R.J. Vanderbei. Interior-Point Methods for Nonconvex Nonlinear Programming: Jamming and Numerical Testing. Mathematical Programming, 99(1):35–48, 2004.

[11]    R.J. Vanderbei, D.N. Spergel, and N.J. Kasdin. Spiderweb Masks for High Contrast Imaging. Astrophysical Journal, 590:593–603, 2003.

[12]    H.Y. Benson, A. Sen, D.F. Shanno, and R.J. Vanderbei. Interior-point algorithms, penalty methods and equilibrium problems. Computational Optimization and Applications, 34(2):155–182, June 2006.

[13]    R.J. Vanderbei, D.N. Spergel, and N.J. Kasdin. Circularly Symmetric Apodization via Starshaped Masks. Astrophysical Journal, 599:686–694, 2003.

[1]    R.J. Vanderbei. Linear Programming: Foundations and Extensions. Kluwer Academic Publishers, 1997.

[2]    R.J. Vanderbei. Linear Programming: Foundations and Extensions. Kluwer Academic Publishers, 1998. Paperback edition.

[3]    R.J. Vanderbei. Linear Programming: Foundations and Extensions. Kluwer Academic Publishers, 2nd edition, 2001.

[4]    R.J. Vanderbei. Linear Programming: Foundations and Extensions. Springer, 3rd edition, 2007.

[1]    R.J. Vanderbei. Eliminating poisson’s spot with linear programming. In J.W. Chinneck, B. Kristjansson, and M. Saltzman, editors, Operations Research and Cyber-Infrastructure. Springer, 2009.

[2]    R.J. Vanderbei. The Earth Is Not Flat: An Analysis of a Sunset Photo. Optics and Photonics News, November:34–39, 2008.

[3]    R.J. Vanderbei. Linear Stability of Ring Systems Around Oblate Central Masses. Advances in Space Research, 42:1370–1377, 2008.

[4]    R.J. Vanderbei. Extreme Optics and the Search for Earth-Like Planets. Mathematical Programming Series B, 112(1):255–272, 2008.

[5]    I. Griva, D.F. Shanno, R.J. Vanderbei, and H.Y. Benson. Global convergence of a primal-dual interior-point method for nonlinear programming. Algorithmic Operations Research, 3(1):12–19, 2008.

[6]    J.C. Lagarias, E. Rains, and R.J. Vanderbei. The Kruskal Count. In S. Brams et al., editor, The Mathematics of Preference, Choice, and Order: Essays in Honor of Peter C. Fishburn. Springer-Verlag, 2008.

[7]    R.J. Vanderbei, E. Cady, and N.J. Kasdin. Optimal occulter design for finding extrasolar planets. Astrophysical Journal, 665(1):794–798, 2007.

[8]    N.J. Kasdin, R.J. Vanderbei, and R. Belikov. Shaped pupil coronography. C.R. Physique, 8:312–322, 2007.

[9]    R.J. Vanderbei and R. Belikov. Measuring the astronomical unit from your backyard. Sky and Telescope, 113(1):91–94, 2007.

[10]    R.J. Vanderbei. A Simple Approximate Analysis of the Linear Stability of Ring Systems. In New Trends in Astrodynamics and Applications III, volume 886, pages 169–174. American Institute of Physics, 2007.

[11]    R.J. Vanderbei and E. Kolemen. Linear Stability of Ring Systems . Astronomical Journal, 133(2):656–664, 2007.

[12]    R. Soummer, L. Pueyo, A. Sivaramakrishnan, and R.J. Vanderbei. Fast computation of lyot-style coronagraph propagation. Optics Express, 15(24):15935–15951, 2007.

[13]    H.Y. Benson, A. Sen, D.F. Shanno, and R.J. Vanderbei. Interior-point algorithms, penalty methods and equilibrium problems. Comp. Opt. and Appl., 34:155–182, 2006.

[14]    R. Belikov, N.J. Kasdin, and R.J. Vanderbei. Diffraction-Based Sensitivity Analysis of Apodized Pupil Mapping Systems. Astrophysical Journal, 652:833, 2006.

[15]    Give’on A., Kasdin N. J., Vanderbei R. J., and Avitzour Y. On representing and correcting wavefront errors in high-contrast imaging systems. Journal of the Optical Society of America A, 23, May 2006.

[16]    N. J. Kasdin, R. J. Vanderbei, M. G. Littman, D. Ren, M. Carr, and D. N. Spergel. Optimal Designs, Mask Manufacture, and Experimental Results for Shaped Pupil Coronagraphs. Bulletin of the American Astronomical Society, 205:514–+, December 2004.

[17]    A. Giveón, N. J. Kasdin, M. G. Littman, L. A. Pueyo, and R. J. Vanderbei. Adaptive Optics for High-Contrast Imaging. Bulletin of the American Astronomical Society, 205:515–+, December 2004.

[18]    R.J. Vanderbei. Horsing Around on Saturn. In New Trends in Astrodynamics and Applications, volume 1065, pages 336–345. NY Academy of Sciences, 2005.

[19]    R.J. Vanderbei. Diffraction Analysis of 2-D Pupil Mapping for High-Contrast Imaging. Astrophysical Journal, 636:528, 2006.

[20]    I. Griva and R.J. Vanderbei. Case Studies in Trajectory Optimization: Catenary Problem. Optimization and Engineering, 6:463–482, 2005.

[21]    R.J. Vanderbei and W.A. Traub. Pupil Mapping in 2-D for High-Contrast Imaging. Astrophysical Journal, 626:1079–1090, 2005.

[22]    N.J. Kasdin, R.A. Brown, C.J. Burrows, S. Kilston, M. Kuchner, M.G. Littman, M.C. Noecker, S. Seager, R. J. Vanderbei, and R.A. Woodruff. An optical/UV space coronagraph concept for the terrestrial planet finder. Advances in Space Research, 34(3):625–630, 2004.

[23]    R. J. Vanderbei, N. J. Kasdin, and D. N. Spergel. Checkerboard-Mask Coronagraphs for High-Contrast Imaging. Astrophysical Journal, 615(1):555, 2004.

[24]    N.J. Kasdin, R.J. Vanderbei, M.G. Littman, and D.N. Spergel. Optimal one-dimensional apodizations and shaped pupils for planet finding coronagraphy. Applied Optics, 44(7):1117–1128, 2005.

[25]    H.Y. Benson, D.F. Shanno, and R.J. Vanderbei. Interior-Point Methods for Nonconvex Nonlinear Programming: Jamming and Numerical Testing. Mathematical Programming, 99(1):35–48, 2004.

[26]    W.A. Traub and R.J. Vanderbei. Two-Mirror Apodization for High-Contrast Imaging. Astrophysical Journal, 599:695–701, 2003.

[27]    R.J. Vanderbei, D.N. Spergel, and N.J. Kasdin. Circularly Symmetric Apodization via Starshaped Masks. Astrophysical Journal, 599:686–694, 2003.

[28]    W. Simmons, N.J. Kasdin, R.J. Vanderbei, and W. Cash. System concept design for the new worlds observer. Bulletin of the American Astronomical Society, 35:1205, 2003.

[29]    R.J. Vanderbei, D.N. Spergel, and N.J. Kasdin. Spiderweb Masks for High Contrast Imaging. Astrophysical Journal, 590:593–603, 2003.

[30]    A. Ruszczyński and R.J. Vanderbei. Frontiers of Stochastically Nondominated Portfolios. Econometrica, 71(4):1287–1297, 2003.

[31]    R.J. Vanderbei and H.Y. Benson. Solving Problems with Semidefinite and Related Constraints Using Interior-Point Methods for Nonlinear Programming. Mathematical Programming, 95:279–302, 2003.

[32]    N.J. Kasdin, R.J. Vanderbei, D.N. Spergel, and M.G. Littman. Extrasolar Planet Finding via Optimal Apodized and Shaped Pupil Coronagraphs. Astrophysical Journal, 582:1147–1161, 2003.

[33]    H.Y. Benson, D.F. Shanno, and R.J. Vanderbei. Interior-Point Methods for Nonconvex Nonlinear Programming: Filter Methods and Merit Functions. Computational Optimization and Applications, 23:257–272, 2002.

[34]    S. Kruk, M. Muramatsu, R. Rendl, R.J. Vanderbei, and H. Wolkowicz. The Gauss-Newton Direction in Semidefinite Programming. Optimization Methods and Software, 15(1):1–27, 2001.

[35]    R.J. Vanderbei. Case Studies in Trajectory Optimization: Trains, Planes, and Other Pastimes. Optimization and Engineering, 2:215–243, 2001.

[36]    D.F. Shanno and R.J. Vanderbei. Interior-Point Methods for Nonconvex Nonlinear Programming: Orderings and Higher-Order Methods. Math. Prog., 87(2):303–316, 2000.

[37]    R.J. Vanderbei. LOQO: An interior point code for quadratic programming. Optimization Methods and Software, 12:451–484, 1999.

[38]    R.J. Vanderbei. LOQO User’s Manual—Version 3.10. Optimization Methods and Software, 12:485–514, 1999.

[39]    R.J. Vanderbei and D.F. Shanno. An Interior-Point Algorithm for Nonconvex Nonlinear Programming. Computational Optimization and Applications, 13:231–252, 1999.

[40]    R.J. Vanderbei. Extension of Piyavskii’s Algorithm to Continuous Global Optimization. J. Global Opt., 14:205–216, 1999.

[41]    M. Muramatsu and R.J. Vanderbei. Primal-Dual Affine-Scaling Algorithms Fail for Semidefinite Programming. Mathematics of Operations Research, 24(1):149–175, 1999.

[42]    A. Kagan, C. Mallows, L.A. Shepp, R.J. Vanderbei, and Y. Vardi. Symmetrization of Binary Random Variables. Bernoulli, 5(6):1013–1020, 1999.

[43]    P. Fishburn, P. Schwander, L.A. Shepp, and R.J. Vanderbei. The discrete Radon transform and its approximate inversion via linear programming. Disc. Appl. Math., 75:39–61, 1997.

[44]    A.J. Berger, J.M. Mulvey, E. Rothberg, and R.J. Vanderbei. Solving multistage stochastic programs using tree dissection. SIAM Journal on Optimization, 1996. To appear.

[45]    J.M. Mulvey, R.J. Vanderbei, and S.A. Zenios. Robust optimization of large scale systems. Operations Research, 43(2):264–281, 1995.

[46]    C. Helmberg, F. Rendl, R.J. Vanderbei, and H. Wolkowicz. An interior point method for semidefinite programming. SIAM Journal on Optimization, 6:342–361, 1996.

[47]    F. Rendl, R.J. Vanderbei, and H. Wolkowicz. Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems. Optimization Methods and Software, 5:1–16, 1995.

[48]    R.J. Vanderbei. A probabilistic formula for the concave hull of a function. Ann. Prob., 23:2014–2021, 1995.

[49]    L.A. Shepp and R.J. Vanderbei. The complex zeros of random polynomials. Transactions of the AMS, 347(11):4365–4384, 1995.

[50]    R.J. Vanderbei and B. Yang. The simplest semidefinite programs are trivial. Math. of OR, 20:590–596, 1995.

[51]    R.J. Vanderbei. Affine-scaling trajectories associated with a semi-infinite linear program. Math. of OR, 20:163–174, 1995.

[52]    R.J. Vanderbei. Symmetric quasi-definite matrices. SIAM Journal on Optimization, 5(1):100–113, 1995.

[53]    R.J. Vanderbei. Interior-point methods: algorithms and formulations. ORSA J. on Computing, 6:32–34, 1994.

[54]    L.A. Hall and R.J. Vanderbei. Two-thirds is sharp for affine scaling. OR Letters, 13:197–201, 1993.

[55]    R.J. Vanderbei and T.J. Carpenter. Symmetric indefinite systems for interior-point methods. Mathematical Programming, 58:1–32, 1993.

[56]    R.J. Vanderbei. ALPO: Another linear program optimizer. ORSA J. on Computing, 5:134–146, 1993.

[57]    J.R. Birge, R.M. Freund, and R.J. Vanderbei. Prior reduced fill-in in solving equations in interior point algorithms. OR Letters, 11:195–198, 1992.

[58]    R.J. Vanderbei. Optimal switching among several brownian motions. SIAM Journal on Control and Optimization, 30:1150–1162, 1992.

[59]    R.J. Vanderbei. A brief description of ALPO. OR Letters, pages 531–534, 1991.

[60]    R.J. Vanderbei. Splitting dense columns in sparse linear systems. Lin. Alg. and Appl., 152:107–117, 1991.

[61]    A. Greenberg and R.J. Vanderbei. Quicker convergence for iterative numerical solutions to stochastic problems:probabilistic interpretation, ordering heuristics, and parallel processing. Prob. in the Eng. and Info. Sci., 4:493–521, 1990.

[62]    R.J. Vanderbei. A martingale system theorem for stock investments. OR Letters, 9:155–159, 1990.

[63]    A. Mandelbaum, L.A. Shepp, and R.J. Vanderbei. Optimal switching between a pair of Brownian motions. Ann. Prob., 18:1010–1033, 1990.

[64]    Y.C. Cheng, D.J. Houck, J.M.Liu, M.S. Meketon, L. Slutsman, R.J. Vanderbei, and P. Wang. The AT&T KORBX system. AT&T Tech. Journal, 68:7–19, 1989.

[65]    R.J. Vanderbei. Affine scaling for linear programs with free variables. Mathematical Programming, 43:31–44, 1989.

[66]    L.A. Shepp and R.J. Vanderbei. A probabilistic model for the time to unravel a strand of DNA. Stochastic Models, 4:299–314, 1988.

[67]    R.J. Vanderbei, M.S. Meketon, and B.F. Freedman. A modification of Karmarkar’s linear programming algorithm. Algorithmica, 1:395–407, 1986.

[68]    R.J. Vanderbei. Probabilistic solution of the Dirichlet problem for biharmonic functions in discrete space. Ann. Prob., 12:311–324, 1984.

[69]    G.F. Lawler and R.J. Vanderbei. Markov strategies for optimal control problems indexed by a partially ordered set. Ann. Prob., 11:642–647, 1982.

[70]    E.B. Dynkin and R.J. Vanderbei. Stochastic waves. Transactions of the AMS, 275:771–779, 1983.

[71]    R.J. Vanderbei. Toward a stochastic calculus for several markov processes. Adv. Appl. Math., 4:125–144, 1983.

[72]    A. Mandelbaum and R.J. Vanderbei. Optimal stopping and supermartingales over partially ordered sets. Z. Warsch. verw. Gebiete, 57:253–264, 1981.

[73]    R.J. Vanderbei. Optimal choice of a subset of a population. Math. OR, 5:481–486, 1980.

[1]    R.J. Vanderbei. Linear Stability of Lagrange Points: Complex Variable Notation . Technical report, Department of Operations Research and Financial Engineering, Princeton University, 2006.

[2]    R.J. Vanderbei. Lagrange Points for Eccentric Planar 3-Body Systems . Technical report, Department of Operations Research and Financial Engineering, Princeton University, 2006.

[3]    H.Y. Benson, D.F. Shanno, and R.J. Vanderbei. A Comparative Study of Large-Scale Nonlinear Optimization Algorithms. Technical Report ORFE 01-04, Department of Operations Research and Financial Engineering, Princeton University, 2001.

[4]    R.J. Vanderbei and H. Yurttan. Using LOQO to Solve Second-Order Cone Programming Problems. Technical Report SOR-98-09, Statistics and Operations Research, Princeton University, 1998. Submitted Optimization and Engineering.

[5]    J.C. Lagarias, E. Rains, and R.J. Vanderbei. The Kruskal Count. Technical report, Princeton University, 1998.

[6]    R.J. Vanderbei and J. Iannone. An EM approach to OD matrix estimation. Technical Report SOR 94-04, Princeton University, 1994.

[7]    R.J. Vanderbei, A. Duarte, and B. Yang. An algorithmic and numerical comparison of several interior-point methods. Technical Report SOR 94-05, Princeton University, 1994.

[8]    A. Duarte and R.J. Vanderbei. A computational analysis of quasi-definite systems in interior-point algorithms. Technical Report SOR 94-11, Princeton University, 1994.

[9]    A. Duarte and R.J. Vanderbei. Interior point algorithms for LSAD and LMAD estimization. Technical Report SOR 94-07, Princeton University, 1994.

[1]    Telescope to Observe Planetary Systems (TOPS): a high throughput 1.2m visible telescope with a small inner working angle, number 62 in 6265, May 2006.

[2]    Fabrication and Characteristics of Free Standing Shaped Pupil Masks for TPF-Coronagraph, number 130 in 6265, May 2006.

[3]    Hybrid Pupil Mapping/Masking Systems for High-Contrast Imaging, number 48 in 6265, May 2006.

[4]    Wavelength dependence of aberrations in the near field: influence and compensation of Fresnel effects in coronagraphs, number 51 in 6265, May 2006.

[5]    Primary Mirror interrogation and correction for high-contrast imaging, number 162 in 6265, May 2006.

[6]    Wavefront amplitude and phase correction using pupil-shape diversity, number 46 in 6272, May 2006.

[7]    L. Pueyo, M. G. Littman, J. Kasdin, R. Vanderbei, R. Belikov, and A. Give’on, editors. Chromaticity effects in adaptive optics; wavelength dependence of amplitude compensation, January 2005.

[8]    A. Give’on, N. J. Kasdin, R. J. Vanderbei, and Y. Avitzour. High-frequency folding and optimal phase conjugation for high-contrast adaptive optics. In Advancements in Adaptive Optics. Edited by Domenico B. Calia, Brent L. Ellerbroek, and Roberto Ragazzoni. Proceedings of the SPIE, Volume 5490, pp. 1438-1449 (2004)., pages 1438–1449, October 2004.

[9]    L. A. Pueyo, A. Give’on, M. G. Littman, N. J. Kasdin, and R. J. Vanderbei. High-dynamic-range imaging: amplitude and phase control. In Advancements in Adaptive Optics. Edited by Domenico B. Calia, Brent L. Ellerbroek, and Roberto Ragazzoni. Proceedings of the SPIE, Volume 5490, pp. 545-553 (2004)., pages 545–553, October 2004.

[10]    W. L. Simmons, W. C. Cash, S. Seager, E. Wilkinson, N. J. Kasdin, R. J. Vanderbei, N. Chow, E. Gralla, and J. Kleingeld. The New Worlds Observer: a mission for high-resolution spectroscopy of extra-solar terrestrial planets. In Microwave and Terahertz Photonics. Edited by Stohr, Andreas; Jager, Dieter; Iezekiel, Stavros. Proceedings of the SPIE, Volume 5487, pp. 1634-1645 (2004)., pages 1634–1645, October 2004.

[11]    J. J. Green, S. B. Shaklan, R. J. Vanderbei, and N. J. Kasdin. The sensitivity of shaped pupil coronagraphs to optical aberrations. In Microwave and Terahertz Photonics. Edited by Stohr, Andreas; Jager, Dieter; Iezekiel, Stavros. Proceedings of the SPIE, Volume 5487, pp. 1358-1367 (2004)., pages 1358–1367, October 2004.

[12]    N. J. Kasdin, R. J. Vanderbei, M. G. Littman, M. Carr, and D. N. Spergel. The shaped pupil coronagraph for planet finding coronagraphy: optimization, sensitivity, and laboratory testing. In Microwave and Terahertz Photonics. Edited by Stohr, Andreas; Jager, Dieter; Iezekiel, Stavros. Proceedings of the SPIE, Volume 5487, pp. 1312-1321 (2004)., pages 1312–1321, October 2004.

[13]    N. J. Kasdin, R. A. Brown, C. J. Burrows, S. Kilston, M. Kuchner, M. G. Littman, M. C. Noecker, S. Seager, D. N. Spergel, E. L. Turner, W. A. Traub, R. J. Vanderbei, and R. A. Woodruff. An optical/UV space coronagraph concept for the terrestrial planet finder. Advances in Space Research, 34:625–630, 2004.

[14]    A. Give’on, N. J. Kasdin, R. J. Vanderbei, D. N. Spergel, M. G. Littman, and P. Gurfil. Feasible optimal deformable mirror shaping algorithm for high-contrast imaging. In Astronomical Adaptive Optics Systems and Applications. Edited by Tyson, Robert K.; Lloyd-Hart, Michael. Proceedings of the SPIE, Volume 5169, pp. 288-297 (2003)., pages 288–297, December 2003.

[15]    A. Give’on, N. J. Kasdin, R. J. Vanderbei, D. N. Spergel, M. G. Littman, and P. Gurfil. Stochastic optimal phase retrieval algorithm for high-contrast imaging. In Astronomical Adaptive Optics Systems and Applications. Edited by Tyson, Robert K.; Lloyd-Hart, Michael. Proceedings of the SPIE, Volume 5169, pp. 276-287 (2003)., pages 276–287, December 2003.

[16]    W. Cash, E. Wilkinson, J. Green, J. Kasdin, D. Spergel, E. Turner, R. Vanderbei, S. Seager, A. Stern, S. Kilston, and J. Leiber. The New Worlds Observer: A New Approach to Observing Extrasolar Planets. American Astronomical Society Meeting Abstracts, 203:–+, December 2003.

[17]    W. Simmons, N. J. Kasdin, R. J. Vanderbei, and W. Cash. System Concept Design for the New Worlds Observer. American Astronomical Society Meeting Abstracts, 203:–+, December 2003.

[18]    N. J. Kasdin, R. J. Vanderbei, M. G. Littman, and D. N. Spergel. Optimal Shaped Pupils for Planet Finding Coronagraphy. American Astronomical Society Meeting Abstracts, 203:–+, December 2003.

[19]    M. Lieber, S. Kilston, N. J. Kasdin, and R. J. Vanderbei. Sensitivity of Shaped Pupil Coronagraphs to Wavefront Errors. American Astronomical Society Meeting Abstracts, 203:–+, December 2003.

[20]    A. Give’on, L. Pueyo, N. J. Kasdin, M. G. Littman, and R. J. Vanderbei. Wavefront Estimation and Control Algorithms for High-Contrast Imaging. American Astronomical Society Meeting Abstracts, 203:–+, December 2003.

[21]    L. Pueyo, M. G. Littman, M. Carr, N. J. Kasdin, D. N. Spergel, and R. J. Vanderbei. Amplitude and phase control of pupil coronagraph for exoplanet detection using spatial light modulators. In Techniques and Instrumentation for Detection of Exoplanets. Edited by Coulter, Daniel R. Proceedings of the SPIE, Volume 5170, pp. 241-249 (2003)., pages 241–249, November 2003.

[22]    M. D. Lieber, S. Kilston, J. Kasdin, R. J. Vanderbei, and M. G. Littman. Evolving exosolar planet detection methods with lab experiments and integrated modeling: I. Modeling. In Techniques and Instrumentation for Detection of Exoplanets. Edited by Coulter, Daniel R. Proceedings of the SPIE, Volume 5170, pp. 66-78 (2003)., pages 66–78, November 2003.

[23]    R. J. Vanderbei, N. J. Kasdin, D. N. Spergel, and M. Kuchner. New pupil masks for high-contrast imaging. In Techniques and Instrumentation for Detection of Exoplanets. Edited by Coulter, Daniel R. Proceedings of the SPIE, Volume 5170, pp. 49-56 (2003)., pages 49–56, November 2003.

[24]    N. J. Kasdin, M. G. Littman, A. Giveon, L. Pueyo, R. J. Vanderbei, D. N. Spergel, and M. Carr. Optimal shaped pupils and wavefront control for planet finding coronagraphy. In ESA SP-539: Earths: DARWIN/TPF and the Search for Extrasolar Terrestrial Planets, pages 469–474, October 2003.

[25]    N. J. Kasdin, R. J. Vanderbei, D. N. Spergel, and M. G. Littman. Optimal shaped pupil coronagraphs for extrasolar planet finding. In High-Contrast Imaging for Exo-Planet Detection. Edited by Alfred B. Schultz. Proceedings of the SPIE, Volume 4860, pp. 240-250 (2003)., pages 240–250, February 2003.

[26]    D. N. Spergel, J. N. Kasdin, R. J. Vanderbei, M. G. Littman, M. Carr, D. Mumm, and M. Pueyo. Development and Testing of an Optimal Shaped Pupil Coronagraph for Extrasolar Planet Finding. Bulletin of the American Astronomical Society, 34:1138–+, December 2002.

[27]    M. G. Littman, M. Carr, J. Kasdin, R. Vanderbei, and D. Spergel. Amplitude Control: Closing the Loop. Bulletin of the American Astronomical Society, 34:1132–+, December 2002.

[28]    N.J. Kasdin, R.J. Vanderbei, D.N. Spergel, and M.G. Littman. Optimal Shaped Pupil Coronagraphs for Extrasolar Planet Finding. In Proceedings of SPIE Conference on Astronomical Telescopes and Instrumentation, number 44 in 4860, 2002.

[29]    R.J. Vanderbei. New Orbits for the n-Body Problem. In Proceedings of the Conference on New Trends in Astrodynamics, 2003.

[30]    M. Lieber, S. Kilston, N.J. Kasdin, R.J. Vanderbei, and M. Littman. Evolving Exosolar Planet Detection Methods with Lab Experiments and Integrated Modeling: I. Modeling. In Proceedings of SPIE Conference on Astronomical Telescopes and Instrumentation, number 09 in 5170, 2003.

[31]    R.J. Vanderbei, N.J. Kasdin, and D.N. Spergel. New pupil masks for high-contrast imaging. In Proceedings of SPIE Conference on Astronomical Telescopes and Instrumentation, number 07 in 5170, 2003.

[32]    A. Give’On, N.J. Kasdin, D.N. Spergel, M.G. Littman, R.J. Vanderbei, and P. Gurfil. Stochastic optimal phase retrieval algorithm for high dynamic range imaging. In Proceedings of SPIE Conference on Astronomical Telescopes and Instrumentation, number 32 in 5169, 2003.

[33]    A. Give’On, N.J. Kasdin, D.N. Spergel, M.G. Littman, R.J. Vanderbei, and P. Gurfil. Feasible optimal deformable mirror shaping algorithms for high dynamic range imaging. In Proceedings of SPIE Conference on Astronomical Telescopes and Instrumentation, number 33 in 5169, 2003.

[34]    R.J. Vanderbei. A Case Study in Trajectory Optimization: Putting on an Uneven Green. SIAG/OPT Views-and-News, 12(1):6–14, 2001.

[35]    R.J. Vanderbei and M. Pilla. Spring training. Soaring, 64(6):18–19,23–24, 2000.

[36]    J.O. Coleman and R.J. Vanderbei. Random-Process Formulation of Computationally Efficient Performance Measures for Wideband Arrays in the Far Field. In The 1999 Midwest Symposium on Circuits and Systems, 1999.

[37]    Y. Ikura and R.J. Vanderbei. Application of integer programming to petroleum tank truck scheduling problems. In Proceedings of the Seventh RAMP Symposium, pages 79–89, Kyoto, Japan, 1995.

[38]    R.J. Vanderbei. Appendix A: Discrete space markov processes. In Large Deviations for Performance Analysis by A. Weiss and A. Shwartz, pages 499–514. Chapman-Hall, 1995.

[39]    A. Mandelbaum, H. Kaspi, and R.J. Vanderbei. Bandit processes: Control, analysis, and characterization. In P. Chretienne, E.G. Coffman Jr., J.K Lenstra, and Z. Liu, editors, Scheduling Theory and Its Applications, pages 71–90. John Wiley and Sons, Ltd., 1994.

[40]    A. Mandelbaum and R.J. Vanderbei. Brownian bandits. In M. Freidlin, editor, The Dynkin Festschrift. AMS, 1994.

[41]    J.L. Snell and R.J. Vanderbei. Three bewitching paradoxes. In J.L. Snell, editor, Topics in Contemporary Probability and Its Applications. CRC Press, 1994.

[42]    Y. Ikura and R.J. Vanderbei. AT&T’s mathematical porgramming systems. In Proceedings of the Second RAMP Symposium, pages 35–44, Kyoto, Japan, 1990.

[43]    R.J. Vanderbei and J.C. Lagarias. I.I. Dikin’s convergence result for the affine-scaling algorithm. In Contemporary Math. AMS, 1990.

[44]    L. Shepp and R.J. Vanderbei. New insights into emission tomography via linear programming. In Proceedings of the NATO Advanced Study Institute International Conference on Formation, Processing and Evaluation of Medical Images, 1988.

[45]    A. Greenberg and R.J. Vanderbei. On successive approximation methods for stochastic problems: probabilistic interpretation, ordering heuristics, and parallel processing. In Proceedings of the 26th Annual Allerton Conference, 1988.

[1]    R.J. Vanderbei. Review of Linear Programming, a Modern Integrated Analysis by R. Saigal. Interfaces, 27:120–122, 1997.

[1]    R.J. Vanderbei. Methods and apparatus for efficient resource allocation, May 1988. U.S. Patent Number 4,744,026. Extension of Karmarkar algorithm to handle linear programming problems with free variables.

[2]    R.J. Vanderbei. Methods and apparatus for efficient resource allocation, Dec 1989. U.S. Patent Number 4,885,686. Extension of Karmarkar algorithm to handle linear programming problems with dense columns.

[3]    B.A. Freedman, M.S. Meketon, and R.J. Vanderbei. Methods and apparatus for efficient resource allocation, May 1990. U.S. Patent Number 4,924,386. Extension of Karmarkar algorithm to handle linear programming problems with nonzero lower bounds and finite upper bounds.

[4]    P. Schwander, L.A. Shepp, and R.J. Vanderbei. Apparatus and method for tomography of microscopic samples, August 1997. U.S. Patent Number 5,659,175. Invention concerns microscopic tomography, wherein probabilities of occupancy of individual lattice sites within a crystal are estimated. Application to the examination of the internal structure of semiconductors.