**Book Reviews**

- Jesse L Barlow, 2003,
*Numerical Computing with IEEE Floating Point Arithmetic by M. L. Overton*

- Jesse L Barlow, 2002,
*Accuracy and Stability of Numerical Algorithms, by N. J. Higman*

- Jesse L Barlow, 2001,
*Computing with IEEE Floating Point Arithmetic, by M. L. Overton*, SIAM Publications, Philadelphia, PA

**Journal Articles**

- Jesse L Barlow, 2019, "Block Modified Gram-Schmidt Algorithms and Their Analysis", SIAM J. Matrix Analysis Applications,
**40**, (4), pp. 34

- Jesse L Barlow, Daniela Di Serifino, Gerado Toraldo and Marco Viola, 2018, "Two-Phase Gradient Method for Quadratic Programing Problems with a Single Linear Constraint and Bounds on the Variables", SIAM J. Optimization,
**28**, (3), pp. 30

- Jesse L Barlow and Geunseop Lee, 2017, "Updating approximate principal components with applications to template tracking", Numerical Linear Algebra with Applications,
**24**, (2), pp. 12

- N. Jakovcevic Stor, I. Slapnicar and Jesse L Barlow, 2015, "Forward stable eigenvalue decomposition of rank-one modifications of diagonal matrices",
**408**, pp. 301-315

- N. Jakovcevic Stor, I. Slapnicar and Jesse L Barlow, 2015, "Accurate Eigenvalue Decomposition of Real Symmetric Arrowhead Matrices and Applications", Linear Algebra and Its Applications,
**464**, pp. 62-89

- G. Lee and Jesse L Barlow, 2014, "Two Projection Methods for Total Least Squares Approximation.",
**461**, pp. 18-41

- Jesse L Barlow, 2014, "Block Gram-Schmidt Downdating.",
**43**, pp. 163-187

- Jesse L Barlow and A. Smoktunowicz, 2013, "Reorthogonalized Block Classical Gram-Schmidt", Numerische Mathematik,
**123**, (3), pp. 395-423

- G. Lee, Jesse L Barlow and H. Fu, 2013, "Fast High-Resolution Image Reconstruction using Tikhanov Regularization Based Total Least Squares", SIAM Journal on Scientific Computing,
**35**, (1), pp. B275-B290

- Jesse L Barlow, 2013, "Reorthogonalization for Golub-Kahan-Lanczos Bidiagonalization", Numerische Mathematik,
**124**, (2), pp. 237-238

- S. Yan, S. Bouaziz, D. Lee and Jesse L Barlow, 2012, "Semi-Supervised Dimensionality Reduction for Analyzing High-Dimensional Data with Constraints", Neurocomputing,
**76**, (1), pp. 114-124

- Jesse L Barlow, 2010, "Editorial, Third Special Issue on Matrix Computations and Statistics", Computational Statistics & Data Analysis,
**54**, (12), pp. 3379-3380

- Jesse L Barlow and Hasan Erbay, 2009, "Modifiable low-rank approximation to a matrix", Numerical Lin. Alg. with Applic.,
**16**, (10), pp. 833–860

- Nela Bosner and Jesse L Barlow, 2007, "Block and Parallel Versions of One-Sided Bidiagonalization", SIAM J. Matrix Analysis Applications,
**29**, (3), pp. 927–953

- Jesse L Barlow, Haesun Park, Patrick J. F. Groenen and Hongyuan Zha, 2006, "2nd Special issue on matrix computations and statistics", Computational Statistics & Data Analysis,
**50**, (1), pp. 1–4

- Haoying Fu, Michael K. Ng, Mila Nikolova and Jesse L Barlow, 2006, "Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms forImage Restoration", SIAM J. Scientific Computing,
**27**, (6), pp. 1881–1902

- H. Fu, M. Ng, M. Nikolova and Jesse L Barlow, 2006, "Efficient Minimization of Mixed Norms for Image Restoration", SIAM Journal on Scientific Computing,
**27**, (6), pp. 1881-1902

- H. Erbay and Jesse L Barlow, 2006, "An Alternative Algorithm for a Sliding Window ULV Decomposition", Computing,
**76**, (12), pp. 55-66

- H. Fu, M. Ng and Jesse L Barlow, 2006, "Structural Total Least Squares for Color Image Restoration", SIAM Journal on Scientific Computing,
**28**, (3), pp. 1100-1119

- A. Smoktunowicz, Jesse L Barlow and J. Langou, 2006, "A Note on the Error Analysis of Classical Gram-Schmidt", Numerische Mathematik,
**105**, (2), pp. 299-313

- Jesse L Barlow, N. Bosner and Z. Drmac, 2005, "A New Stable Bidiagonal Reduction Algorithm", Linear Algebra and Its Applications,
**397**, (1), pp. 35-84

- Jesse L Barlow, A. Smoktunowicz and H. Erbay, 2005, "Improved Gram-Schmidt Type Downdating Methods", BIT,
**45**, (2), pp. 259-285

- Jesse L Barlow, Hasan Erbay and Ivan Slapnicar, 2005, "An Alternative Algorithm for the Refinement of ULV Decompositions", SIAM J. Matrix Analysis Applications,
**27**, (1), pp. 198–211

- H. Fu and Jesse L Barlow, 2004, "A Regularized Structured Total Least Squares Algorithm for High Resolution Image Reconstruction", Linear Algebra and Its Applications,
**391**, (1), pp. 75-98

- Jesse L Barlow, B. N. Parlett and K. Veselic, 2003, "Preface", Linear Algebra and Its Applications, Second Special Issue on Accurate Solution of Eigenvalue Problems,
**358**, (1-3), pp. 1-3

- Hasan Erbay, Jesse L Barlow and Zhenyue Zhang, 2002, "A modified Gram-Schmidt-based downdating technique for ULV decompositionswith applications to recursive TLS problems", Computational Statistics & Data Analysis,
**41**, (1), pp. 195–209

- Jesse L Barlow, 2002, "More Accurate Bidiagonal Reduction for Computing the Singular ValueDecomposition", SIAM J. Matrix Analysis Applications,
**23**, (3), pp. 761–798

- Jesse L Barlow, Michael W. Berry, Axel Ruhe and Hongyuan Zha, 2002, "Preface", Computational Statistics & Data Analysis,
**41**, (1), pp. 1–2

- Jesse L Barlow, 2001, "Computing the Fundamental Matrix of Markov Chain", SIAM Journal on Matrix Analysis and Applications,
**22**, (1), pp. 230-241

- Jesse L Barlow, B. Parlett and K. Veselic, 2000, "Preface", Linear Algebra and Its Applications-Special Issue of Accurate Solution of Eigenvalue Problems,
**309**, (1-3), pp. 1-2

- Jesse L Barlow and I. Slapnicar, 2000, "Optimal Perturbation Bounds for the Hermitian Eigenvalue Problem", Linear Algebra and Its Applications-Special Issue of Accurate Solution of Eigenvalue Problems,
**309**, (1-3), pp. 19-43

- Jesse L Barlow and Peter A Yoon, 1998, "An Ecient Rank Detection Procedure for Modifying the ULV Decomposition",
**28**, (4), pp. 781-801

- Jesse L Barlow and Hongyuan Zha, 1998, "Growth in Gaussian Elimination, Orthogonal Matrices, and the Euclidean Norm", SIAM J. Matrix Analysis Applications, pp. 807-815

- Jesse L Barlow, Peter A. Yoon and Hongyuan Zha, 1996, "An algorithm and a stability theory for downdating the ULV decomposition", BIT,
**36**, pp. 14-40

- Jesse L Barlow and Szu-Min Lu, 1996, "Multifrontal Computation with the Orthogonal Factors of Sparse Matrices", SIAM J. Matrix Analysis Applications,
**17**, pp. 658-679

- Jesse L Barlow and Peter A. Yoon, 1996, "Modifying the Singular Value Decomposition on the Connection Machine", International Journal of High Speed Computing,
**8**, (2), pp. 145–170

- Jesse L Barlow and Gerardo Toraldo, 1995, "The effect of diagonal scaling on projected gradient methods for bound constrained quadratic programming problems", Optimization Methods and Software, pp. 235-245

- Jesse L Barlow and Susan L. Handy, 1994, "The Numerical Solution of Banded, Toeplitz Eigenvalue Problems,", SIAM J. Matrix Analysis Applications,
**15**, (1), pp. 205-214

- Jesse L Barlow, 1993, "Perturbation results for nearly uncoupled Markov chains with applications to iterative methods", Numerische Mathematik,
**65**, (1), pp. 51-62

- Jesse L Barlow, 1993, "Error Bounds and condition estimates for the computation of null vectors with applications to Markov chains", SIAM J. Matrix Analysis Applications, pp. 798-812

- Jesse L Barlow, 1993, "Error analysis of update methods for the symmetric eigenvalue problem,", SIAM J. Matrix Analysis Applications,
**14**, (2), pp. 598-618

- Jesse L Barlow and Udaya B. Vemulapati, 1992, "A note on deferred correction for equality constrained least squares problems", SIAM J. on Numerical Analysis

- Jesse L Barlow and Udaya B. Vemulapati, 1992, "`Rank detection methods for sparse matrices", SIAM J. Matrix Analysis Applications

- Jesse L Barlow, 1991, "Error Analysis of a Pairwise Summation Method for Computing the Sample Variance", Numerische Mathematik

- Jesse L Barlow, 1990, "On the Use of Structural Zeros in Orthogonal Factorization", SIAM Journal on Scientific Computing,
**11**, (3), pp. 600–601

- Jesse L Barlow and James W. Demmel, 1990, "Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices", SIAM J. on Numerical Analysis

- Jesse L Barlow and Udaya B. Vemulapati, 1990, "An Improved Method for One-Way Dissection with Singular Diagonal Blocks", SIAM J. Matrix Analysis Applications

- Jesse L Barlow and Susan L. Handy, 1988, "The Direct Solution of Weighted and Equal Constrained Least Squares Problems", SIAM Journal on Scientific and Statistical Computing

- Jesse L Barlow, Nancy K. Nichols and Robert J. Plemmons, 1988, "A Conjugate Gradient Method for the Solution of Equality Constrained Least Squares Problems", SIAM Journal on Scientific and Statistical Computing

- Jesse L Barlow, 1988, "Error Analysis and Implementation Aspects of Deferred Correction for Equality Constrained Least Squares Problems", SIAM J. on Numerical Analysis

- Richard J. Zaccone and Jesse L Barlow, 1987, "Eliminating the Normalization Problem in Digit On-Line Arithmetic", IEEE Transactions on Computers,
**36**, (1), pp. 36–46

- Jesse L Barlow, 1986, "On the Smallest Positive Singular Value of an Singular M-matrix with Applications to Ergodic Markov Chains", SIAM Journal on Algebraic and Discrete Methods

- Jesse L Barlow and Ilse C.F. Ipsen, 1986, "Parallel Scaled Givens Rotations for the Solution of Linear Least Squares Problems on a Systolic Array", SIAM Journal on Scientific and Statistical Computing

- Jesse L Barlow, 1986, "A Note on Monitoring the Stability of Triangular Decomposition of Sparse Matrices", SIAM Journal on Scientific and Statistical Computing

- Jesse L Barlow and Erwin H. Bareiss, 1985, "On roundoff error distributions in floating point and logarithmicarithmetic", Computing,
**34**, (4), pp. 325–347

- Jesse L Barlow and Erwin H. Bareiss, 1985, "Probabilistic error analysis of gaussian elimination in floating pointand logarithmic arithmetic", Computing,
**34**, (4), pp. 349–364

- Jesse L Barlow, 1985, "Stability Analysis of the G-algorithm and a Note on its Application to Sparse Least Squares Problems", BIT

- Jesse L Barlow and Erwin H Bareiss, 1980, "Roundoff Error Distribution in Fixed Point Multiplication", BIT

- Jesse L Barlow, Nevena Jakovcevic-Stor, Ivan Slapnicar and Stanley C Eisenstat, , "Deflation for the Symmetric Arrow Matrix Eigenvalue Problem", SIAM J. Matrix Analysis Applications,
**43**, (2), pp. 681-709

- Mohamed Almekkawy, Anita Ceravic, Ahmed Abdou, Jaiyu He, Geunseop Lee and Jesse L Barlow, , "Regularization in Ultrasound Tomography using Projection Based Regularized Total Least Squares", Inverse Problems in Science and Engineering

**Conference Proceedings**

- Anita Cerevic, Jesse L Barlow and Mohamed K. Almekkawy, 2018, "Using filter factors for regularization in Ultrasound Tomography", pp. 895-898

- X. Yun, Cerevic Anita, Geunseop Lee, Ivan Slapnicar, Jesse L Barlow, Mohamed K. Almekkawy and Jiayu He, 2018, "Solving the ultrasound inverse scattering problem of inhomogeneous media using different approaches of total least squares algorithms", Society of Photo-Optical Engineers, Bellingham, WA, USA

- Anita Cerevic, Xingzhao Yun, Geunseop Lee, Ivan Slapnicar, Ali Abdou, Jesse L Barlow and Mohamed K. Almekkawy, 2018, "Reconstruction of ultrasound tomography for cancer detection using total least squares and conjugate gradient method", SPIE, Bellingham, WA,
**10580**

- Ichitaro Yamazaki, Stanimire Tomov, Jakub Kurzak, Jack Dongarra and Jesse L Barlow, 2015, "Mixed-precision Block Gram Schmidt Orthogonalization", ACM, New York, NY, USA, pp. 2:1–2:8

- S. Yan, H. Wang, Jesse L Barlow and D. Lee, 2009, "Semi-Supervised Document Clustering by Approximate Structure Preserving Dimension Reduction", Proceedings of the SIAM Text Mining Workshop, in conjunction with SDM 2009

- Xin Yang, Haoying Fu, Hongyuan Zha and Jesse L Barlow, 2006, "Semi-supervised nonlinear dimensionality reduction", pp. 1065–1072

- Jesse L Barlow, Lia and Hongyuan Zha, 2005, "Efficient Block Noise Removal Based on Nonlinear Manifolds", pp. 549-556

- H. Fu, M. Ng and Jesse L Barlow, 2005, "Structured Total Least Squares for Color Image Restoration", Proceedings of the Third IASC World Conference on Computational Statistics & Data Analysis

- , 2005, "10th IEEE International Conference on Computer Vision (ICCV 2005),
17-20 October 2005, Beijing, China", IEEE Computer Society

- , 2005, "Computational Science and Its Applications - ICCSA 2005, International
Conference, Singapore, May 9-12, 2005, Proceedings, Part IV", Springer,
**3483**

- Haoying Fu, Hongyuan Zha and Jesse L Barlow, 2005, "Efficient Block Noise Removal Based on Nonlinear Manifolds", pp. 549–556

- Haoying Fu, Michael K. Ng, Mila Nikolova, Jesse L Barlow and Wai-Ki Ching, 2005, "Fast Algorithms for l1 Norm/Mixed l1 and l2 Norms for Image Restoration", pp. 843–851

- Jesse L Barlow, A. Smoktunowicz and H. Erbay, 2001, "An Evaluation of Gram-Schmidt-type Downdating Techniques",
**4474**, (1), pp. 273-284

- Jesse L Barlow and H. Erbay, 2000, "An Algorithm for Recursive ULV Decomposition with a New Refinement Procedure", Proceedings of the International Symposium on Optical Science and Technology, pp. 157-166

- H. Erbay and Jesse L Barlow, 2000, "Recursive ULV Decomposition and an Alternative Refinement Algorithm", SPIE Proceedings of the Forty-Fifth Symposium,
**4116**, (1), pp. 157-166

- Jesse L Barlow and Peter A. Yoon, 1997, "Solving Recursive TLS Problems using the rank{ revealing ULV decomposition", SIAM Publications, Philadelphia, PA, United States, pp. 117-126

- Peter A. Yoon and Jesse L Barlow, 1995, "Modifying the Singular Value Decompositions on the Connection Machine", pp. 33–38

- Jesse L Barlow and Szu-Min Lu, 1993, "Parallel computation of orthogonal factors of sparse matrices,", SIAM Publications, Philadelphia, PA, United States,
**1**, pp. 486-490

- Jesse L Barlow, 1990, "Solution of Sparse Weighted and Equality Constrained Least Squares Problems"

- Jesse L Barlow, 1990, "Solution of Sparse Weighted and Equality Constrained Least Squares Problems"

- Jesse L Barlow and Udaya B. Vemulapati, 1989, "Incremental Condition Estimator for Parallel Sparse Matrix Factorization", pp. 57–59

- Richard J. Zaccone and Jesse L Barlow, 1985, "Improved normalization results for digit on-line arithmetic", pp. 20–27

- Jesse L Barlow and Suchitra Gupta, 1985, "Numerical Methods and Matrix Splittings for Higher Order Two-Point Boundary Value Problems",
*Computers and Computing*, Wiley, Paris, France, pp. 4

- Jesse L Barlow, 1981, "On the Distribution of Accumulated Rounding Error in Floating Point Arithmetic",
*Fifth IEEE Symposium on Computer Arithmetic*

**Abstracts**

- Jesse L Barlow, 2015, "Block Gram-Schmidt Downdating", Electronic transactions on numerical analysis, pp. pg. 163

**Other**

- Jesse L Barlow, 2003, "Modification and Maintenance of ULV Decompositions", pp. 31-62