Linda Kaufman, Seok-Min Bang, Brian Heacook, William Landon, Daniel Savacool, Nick Woronokin, " Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem", American J



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  1. Linda Kaufman, Seok-Min Bang, Brian Heacook, William Landon, Daniel Savacool, Nick Woronokin, “ Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem”, American J. of Computational Mathematics, Volume 2, No. 4, December 2012.




  1. Linda Kaufman.”Solving Separable nonlinear least squares problems with multiple data sets”, chapter in Bentham ebooks, V. Pereyra, editor, 2010




  1. Linda Kaufman , “An Algorithm for factoring banded symmetric matrix”, Numerical Linear algebra with Applications, Vol. 14, No. 3, 2007,pp.237-254




  1. Linda Kaufman, "Calculating dispersion in fiber optics design", IEEE Journal on Lightwave Technology, Vol.25, No. 3,March 2007 , pp.811-819




  1. Linda Kaufman, “Eigenvalue Problems in Fiber Optic Design”, SIAM J. on Matrix Analysis and Applications, January 2006, pp. 105-117




  1. L.S. Blackford, J. Demmel, J. Dongarra, I. Duff, S. Hammarling, G. Henry, M. Heroux, L. Kaufman, A. Lumsdaine, A. Petitet, R. Pozo, K. Remington, R. C. Whaley, “An Updated Set of Basic Linear Algebra Subprograms”, ACM Transactions on Mathematical Software, Volume 28, No. 2, June 2002, pp. 135-151




  1. .Linda Kaufman, "Band Reduction Algorithms Revisited", ACM Transactions on Mathematical Software, Vol. 26, No. 4, Dec. 2000, pp. 551-567.




  1. Linda Kaufman, "An Observation on Bisection Software for the Symmetric Tridiagonal Eigenvalue Problem", ACM Transactions on Mathematical Software Vol. 26, No. 4, Dec. 2000, pp. 520-526.




  1. Linda Kaufman " Reduced storage, quasi‑Newton trust region approaches to function optimization", SIAM J. on Optimization, Oct. 1999, p. 56‑69




  1. Linda Kaufman, "Solving the Quadratic Programming problem arising in support vector classification", in Advances in Kernel Methods ‑ Support Vector Learning, Scholkopf, Burges, and Smola, eds. MIT Press, 1998, pp. 147‑168.




  1. H. Drucker, C,J.C. Burges, L. Kaufman, A. Smola, and V. Vapnik, "Support vector regression machines", Advances in Neural Information Processing Systems 9, M. Mozer, M. Jordan, and T. Petsche, eds., MIT Press, 1997.




  1. Linda Kaufman and Arnold Neumaier " Regularization of Ill‑Posed Problems by Envelope Guided Conjugate Gradients", J. of Computational and Graphical Statistics, Dec. 1997, pp. 451‑463




  1. Linda Kaufman and Arnold Neumaier, "PET Regularization by Envelope Guided Conjugate Gradients", IEEE Transactions on Medical Imaging, Vol. 15, no. 3, June 1996, pp. 385‑389




  1. Linda Kaufman, "Implementing the MDM(transpose) Decomposition", ACM Transactions on Mathematical Software,Vol. 21, no. 4, December 1995, pp. 476‑489




  1. Linda Kaufman, Garret Sylvester, and Margaret Wright, "Structured Linear Least‑Squares Problems in System Identification and Separable Nonlinear Data Fitting", SIAM J. on Optimization November, 1994, pp.847‑871




  1. Linda Kaufman, "Solving Some Structured Linear Least Squares Problems", in Proceedings of the Fifth SIAM Conference on Applied Linear Algebra John Lewis, ed., SIAM, 1994, pp. 465‑469.




  1. Linda Kaufman, "A Parallel QR Algorithm for the Symmetric Tridiagonal Eigenvalue Problem". Journal of Parallel and Distributed Computing, Vol. 23, no. 3, November 1994, pp.429‑434




  1. Linda Kaufman, "Maximum Likelihood, Least Squares, and Penalized Least Squares for PET", IEEE Transactions on Medical Imaging, Vol . 12, No.2, June 1993, pp.200‑214.




  1. Linda Kaufman, "An Algorithm for the banded Symmetric Generalized Matrix Eigenvalue Problem" SIAM J. on Matrix Analysis and Applications, Vol.14, No. 2, April 1993, pp. 372‑389




  1. Linda Kaufman, "Solving a least squares problem with boundary constraints", in Linear Algebra for Large Scale and Real‑Time Applications NATO‑ ASI Series, Moon, Golub, DeMoor editors, pp.399‑400, 1993.




  1. Linda Kaufman and Garret Sylvester, "Separable nonlinear least squares with multiple right hand sides" SIAM J. on Matrix Analysis and Applications, Vol. 13, No. 1, January 1992, pp.68‑89.




  1. David Gay and Linda Kaufman, "Tradeoffs in Algorithms for Separable and Block‑Separable Nonlinear Least Squares", Proceedings of IMACS 91. 1991



  1. Linda Kaufman and Daniel D. Warner, "A Program for solving Separable Elliptic Equations", ACM Transactions on Mathematical Software, Vol.16, N. 4, Dec. 1990, pp.325‑351




  1. Linda Kaufman, "Solving Emission Tomography Problems on Vector Machines", Proceedings of the Conference on Supercomputers and Large‑Scale Optimization special volume of the Annals of Operation Research. Vol.22, Feb. 1990, pp.325‑353



  1. R. Bartels and L. Kaufman " Cholesky Factor Updating Techniques for Rank‑Two Matrix Modifications", SIAM J. on Matrix Analysis and Applications Vol. 10, No. 4, Oct. 1989, pp. 557‑592




  1. Linda Kaufman and Norm Schryer, " Solving Two dimensional partial Differential Equations on Vector and Scalar Machines", Int. Journal on Supercomputer Applications, Vol.3. No. 1, Spring 1989, pp.10‑33.




  1. Linda Kaufman, "Vectorizing the Construction of Galerkin Matrices" in Advances in Computer Methods for Partial Differential Equations‑VI, Proceedings of the Sixth Imacs International Symposium on Computer Methods for Partial Differential Equations., pp..142‑146, June 1987



  1. Linda Kaufman, "The Generalized Householder Transformation and Sparse Matrices", Linear Algebra and its Applications Vol. 90, May 1987, pp.221‑235.




  1. Linda Kaufman, "Implementing and accelerating the EM algorithm for Positron Emission Tomography", IEEE Transactions on Medical Imaging Vol. mi‑6, number 1, March 1987, pp.37‑51.




  1. J. Dongarra, L. Kaufman, and S. Hammarling, "Squeezing the most out of Eigenvalue Solvers on High‑performance Computers", Linear Algebra and its Applications Vol.77, June 1986, pp.113‑136.




  1. Y. Vardi., L. Shepp, and L. Kaufman, "A Statistical Model For Positron Tomography", Journal of the American Statistical Association, Vol. 80, No. 389, March 1985, pp .8‑37



  1. L. Kaufman, S. Morgenthaler, and Y. Vardi, "Maximum likelihood reconstruction in emission tomography with time‑of‑flight information: A limited study." Automated Image Analysis: Theory and Experiments. Cooper, Laurner, and McClure (eds) Academic Press, 1984




  1. Linda Kaufman and Daniel D. Warner, "High‑order, fast direct methods for Separable Elliptical Equations", SIAM Journal of Numerical Analysis, Vol.21, No. 4,August 1984, pp.672‑695




  1. Linda Kaufman, "Banded Eigenvalue Solvers on Vector Machines", ACM Transactions on Math Software Vol.10,No. 1, March 1984, pp.73‑85.




  1. Linda Kaufman, "Matrix Methods for Queueing Problems", SIAM Journal on Scientific and Statistical Computing Vol 4., No. 3, Sept. 1983, pp. 525‑552



  1. Linda Kaufman, "Solving Large Sparse Linear Systems Arising in Queuing Problems." Numerical Integration of Differential Equations and Large Linear Systems, Springer‑Verlag Lecture Notes in Mathematics 968. Ed. Juergen Hinze, 1982, pp.352‑360




  1. D. Edelson, L. Kaufman, and D.D. Warner, "The Use of a High Speed Vector Processor Machine for Chemical Kinetics Sensitivity Analysis." Supercomputers and Chemistry ACS Symposium Series 173, Eds. Peter Lykos and I. Shavitt, 1981, pp. 79‑88.




  1. J. Morrison, L. Kaufman, and J. Seery, " Overflow Models for Dimension PBX Feature Packages " Bell System Technical Journal Vol. 60, No. 5, May‑June1981, pp. 661‑676.




  1. B. Gopinath, L. Kaufman, and E.F. Wunderlich, "Analysis of Packet Network Congestion Control Using Sparse Matrix Algorithms." IEEE Transactions on Communications Vol.29, No.4, April 1981, pp.453‑465




  1. James R. Bunch and Linda Kaufman, "A Computational Method for the Indefinite Quadratic Programming Problem" Linear Algebra and its Applications Vol. 34, December 1980, pp.341‑370.




  1. B. Gopinath, L. Kaufman, and E.F. Wunderlich, "The Control of Store and Forward Congestion In Packet Switched Networks," The Proceedings of the Fifth International Conference on Computer Communication October 1980.




  1. Linda Kaufman, "Application of Householder Transformations to Sparse Matrices," ACM Transactions on Mathematical Software. Vol. 5, No. 4, December 1979, pp.442‑450.




  1. Linda Kaufman and Victor Pereyra, "A Method for Separable Nonlinear Least Squares Problems with Separable Nonlinear Equality Constraints," SIAM J. Numer. Anal., Vol. 15, No. 1, February 1978 ,pp.12‑20.




  1. Linda Kaufman, "Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem," ACM Transactions on Mathematical Software, Vol. 3, No. 1, March1977, pp.65‑75.




  1. J.R. Bunch and L. Kaufman, "Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems," Mathematics of Computation, Vol. 31, No. 137, January 1977, pp.163‑179[




  1. J.R. Bunch, L. Kaufman, and B. Parlett, "Decomposition of a Symmetric Matrix," Numer. Math. 27, 1976, pp. 95‑109




  1. J. Daniel, W. Gragg, L. Kaufman, and G.W. Stewart, "Stable Algorithms for Updating the Gram Schmidt QR Factorization," Mathematics of Computation, Vol. 30, No. 136, October 1976, pp.772‑795.




  1. Linda Kaufman, "The LZ Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices," ACM Transactions on Mathematical Software, Vol.1, No. 3, September 1975, pp.271‑281




  1. Linda Kaufman, "A Variable Projection Method for Solving Separable Nonlinear Least Squares Problems," BIT 15, 1975,pp.49‑57




  1. Linda Kaufman, "The LZ Algorithm to Solve the Generalized Eigenvalue Problem", SIAM J. Numer. Anal., Vol. 11, No. 5, October 1974,pp.997‑1023

b. Unpublished Technical Reports not subsumed above





  1. L. Kaufman and A. Neumaier, "Image reconstruction through regularization by envelope guided conjugate gradients", Technical Report CS94/4‑14, ATT Bell Laboratories, Murray Hill,N.J.,1994. (available through the WW, http://cm.bell‑labs.com/cm/cs/doc/94/4‑14.ps.gz, 2MB)




  1. Linda Kaufman and Garrett Sylvester, "A block separable nonlinear‑least squares problem" NA manuscript 11274‑ 901029‑04, Nov. 1990




  1. Linda Kaufman, "TTGU ‑ A Package for Solving Time Varying Partial Differential Equations on a Union of Rect angles", Bell Labs Computer Science Technical Report 154, November 1990.




  1. Linda Kaufman and Norm Schryer, "TTGR‑ A Package for Solving Partial Differential Equations in Two Space Variables " Bell Labs Computer Science Technical Report 135, June 1985.




  1. Linda Kaufman "Usage of the Sparse Matrix programs in the PORT Library" Bell Labs TM 81‑11274‑2, February 1981.




  1. B. Gopinath, L. Kaufman, and E.F. Wunderlich, `Sparse Matrix Algorithms for a Packet Network Control Analysis." Bell Labs Computer Science Technical Report 82, October 1980.




  1. Linda Kaufman, "Programs for Solving Linear Equations in the PORT Library," Bell Labs TM 78‑1274‑11, November 1978.




  1. Linda Kaufman, "Methods for Updating the Singular Value Decomposition", University of Arhus Computer Science Report 26, March 1974.




  1. Linda Kaufman, "Function Minimization and Automatic Therapeutic Control," Stanford Computer Science Report 228, July 1971.

c. Bell Labs Proprietary Memorandums not subsumed above.



  1. Ellen Hahne, Linda Kaufman, and R. Kurshan, "Notes on Computing mean First Passage Times in Markov Chains", Bell Labs 11274‑851010‑14 TMS, October 1985.




  1. J.K. Hodgins and L. Kaufman, "Some FORTRAN subroutines for computing the singular value decomposition of a real matrix", Bell Labs TM 83‑11274‑6, March 1983.




  1. R.A. Levy, S.M.Vincent, T.E.McGahan, and L. Kaufman, "Evaluation of the Phosphorous Concentration and Its Effects on Viscous Flow and Reflow in Phosphosilicate Glass", Bell Labs TM 83‑11274‑1, January 1983.




  1. J.K. Hodgins and L. Kaufman, "A Program for the Quadratic Programming Problem" Bell Labs TM 82‑11274‑7, Sept. 1982.




  1. L. Kaufman and N. Levine, "An Implementation of a Simplex‑like Algorithm for the Linear Programming Problem" Bell Labs TM 81‑11274‑4, May 1981.




  1. M.R. Celis and L. Kaufman, "Usage of Nonlinear Least Squares Programs" Bell Labs TM 80‑1274‑5, October 1980.




  1. Linda Kaufman, "A Program for Solving Separable Nonlinear Least Squares Problems," Bell Labs TM 78‑1274‑7, July 1978.




  1. J.L. Flanagan, K. Ishizaka, L. Kaufman, and K. Shipley, "Adaptive Control of Vocal Cord/Vocal Track Model to Estimate Articulatory Parameters" Bell Labs TM 77‑1274‑16, November 1977.

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