Publications - Haim Avron

Recently Submitted


[1]          Haim Avron, and Sivan Toledo.

Effective Stiffness: Generalizing Effective Resistance Sampling to Finite Element Matrices.

IBM Research Report RC25187 (W1107-042), July 2011.

 

[2]           Haim Avron, Anshul Gupta, and Sivan Toledo.

Solving Hermitian positive definite systems using indefinite incomplete factorizations.

May 2011.


Journal Papers

           

[3]           Haim Avron and Sivan Toledo.

Randomized algorithms for estimating the trace of an implicit symmetric positive semi-definite matrix.

Journal of the ACM, 58:8:1-8:34, April 2011.

 

[4]           Haim Avron, Petar Maymounkov, and Sivan Toledo.

Blendenpik: Supercharging LAPACK's least-squares solver.

SIAM Journal on Scientific Computing, 32(3):1217-1236, 2010.

Download code                     CSC'09 presentation

 

[5]         Haim Avron, Andrei Sharf, Chen Greif and Daniel Cohen-Or.

L1-sparse reconstruction of sharp point set surfaces.

ACM Transactions on Graphics, 29(5):1-135, 2010.

To be presented at SIGGRAPH 2011.

Download movie

 

[6]           Haim Avron, Esmond Ng, and Sivan Toledo.

Using perturbed QR factorizations to solve linear least-squares problems.

SIAM Journal on Matrix Analysis and Applications, 31(2):674-693, 2009.

 

[7]           Haim Avron, Doron Chen, Gil Shklarski, and Sivan Toledo.

Combinatorial preconditioners for scalar elliptic finite-elements problems.

SIAM Journal on Matrix Analysis and Applications, 31(2):694–720, 2009.

 

[8]           Haim Avron, Gil Shklarski, and Sivan Toledo.

Parallel unsymmetric-pattern multifrontal sparse LU with column preordering.

ACM Transactions on Mathematical Software, 34(2): 2008

 

Refereed Conference and Workshop Papers

 

[9]     Haim Avron

Counting triangles in large graphs using randomized matrix trace estimation.

Proceedings of KDD-LDMTA'10, July 2010.

 

[10]   Prabhanjan Kambadur, Anshul Gupta, Amol Ghoting, Haim Avron, and Andrew Lumsdaine.

PFunc: Modern task parallelism for modern high performance computing.

In SC '09: Proceedings of the 2009 ACM/IEEE conference on Supercomputing, Portland, Oregon, November 2009.

 

Book Chapters

 

[11]   Sivan Toledo and Haim Avron

Combinatorial preconditioners

To appear in:

Uwe Naumann, Olaf Schenk, eds.:

Combinatorial Scientific Computing.

Computational Science series, Chapman & Hall / CRC Press

Taylor and Francis Group

 

Theses


[12]   Haim Avron

Advanced Algorithmic Techniques in Numerical Linear Algebra: Hybridization and Randomization.

Ph.D. Thesis, Tel-Aviv University, July 2010.

 

[13]      Haim Avron.

Parallel unsymmetric-pattern multifrontal sparse LU with column preordering.

M.Sc. Thesis, Tel-Aviv University, March 2005.


Technical Reports

 

[14]   Haim Avron, Anshul Gupta, and Sivan Toledo

New Krylov-subspace solvers for Hermitian positive definite matrices with indefinite preconditioners.

IBM Research Report RC 24698 (W0812-001), December 2008

 

[15]      Haim Avron, Esmond Ng, and Sivan Toledo.

A generalized Courant-Fischer minimax theorem.

 

[16]      Haim Avron, Gil Shklarski, and Sivan Toledo.

On element SDD approximability.

 

 

Presentations

·         Parallel out-of-core multifrontal linear solver 

Presented at ICIAM'11, July 2011.

 

·         Randomized algorithms in numerical linear algebra: from theory to practice

Plenary talk, Householder Symposium XVIII, June 2011.
Also presented at ICIAM'11, July 2011.

Abstract

 

·         Randomized algorithms in numerical linear algebra: from theory to practice

PhD thesis talk, June 2010.

 

·         Engineering a random-sampling numerical linear algebra algorithm

Presented at the SIAM Workshop on Combinatorial Scientific Computing 2009, October 2009.

 

·         Rank deficient linear least-squares using perturbed sparse QR

Presented at PP'08 and GAMM'2008, April 2008.

 

·         Using perturbed QR factorizations to solve linear least-squares problems

Presented at PRECOND'2007, July 2007.

 

·         Combinatorial preconditioners for scalar elliptic finite elements

Presented at ICIAM'2007, July 2007.

 

·         A new parallel unsymmetric multifrontal sparse LU factorization

Presented at PP'04, February 2004.