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SIAMMAX
2010
92views more  SIAMMAX 2010»
14 years 4 months ago
Estimating the Backward Error in LSQR
We propose practical stopping criteria for the iterative solution of sparse linear least squares (LS) problems. Although we focus our discussion on the algorithm LSQR of Paige and ...
Pavel Jiránek, David Titley-Péloquin
SIAMMAX
2011
92views more  SIAMMAX 2011»
14 years 20 days ago
A Condition for Convexity of a Product of Positive Definite Quadratic Forms
A sufficient condition for the convexity of a finite product of positive definite quadratic forms is given in terms of the condition numbers of the underlying matrices. When only...
Minghua Lin, Gord Sinnamon
SIAMMAX
2010
164views more  SIAMMAX 2010»
14 years 4 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
SIAMMAX
2010
224views more  SIAMMAX 2010»
14 years 4 months ago
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
Jianlin Xia, Ming Gu
SIAMMAX
2010
116views more  SIAMMAX 2010»
14 years 4 months ago
Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares
Abstract. Linear inverse problems with uncertain measurement matrices appear in many different applications. One of the standard techniques for solving such problems is the total l...
Amir Beck, Yonina C. Eldar