Numerical Linear Algebra Group

Sixteen publications by members of the NLA group feature among the top 40 most read articles in two SIAM journals, both leading venues for publications in numerical linear algebra. 

The following articles are amongst the 20 most read in the SIAM Journal on Matrix Analysis and Applications:

• Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms by Mary Aprahamian and Nicholas J. Higham
• An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential by Massimiliano Fasi and Nicholas J. Higham
• Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number by Nicholas J. Higham and Samuel D. Relton
• Generalized Rational Krylov Decompositions with an Application to Rational Approximation by Mario Berljafa and Stefan Güttel
• The Structured Condition Number of a Differentiable Map between Matrix Manifolds, with Applications by Bahar Arslan, Vanni Noferini, and Françoise Tisseur
• An Algorithm for the Matrix Lambert $W$ Function by Massimiliano Fasi, Nicholas J. Higham, and Bruno Iannazzo
• The Block Rational Arnoldi Method by Steven Elsworth and Stefan Güttel
• Multiprecision Algorithms for Computing the Matrix Logarithm by Massimiliano Fasi and Nicholas J. Higham

The following articles are amongst the 20 most read in the SIAM Journal on Scientific Computing:

• Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions by Erin Carson and Nicholas J. Higham
• A New Approach to Probabilistic Rounding Error Analysis by Nicholas J. Higham and Theo Mary
• Simulating Low Precision Floating-Point Arithmetic by Nicholas J. Higham and Srikara Pranesh
• A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems by Erin Carson and Nicholas J. Higham
• Shifted Cholesky QR for Computing the QR Factorization of Ill-Conditioned Matrices by Takeshi Fukaya, Ramaseshan Kannan, Yuji Nakatsukasa, Yusaku Yamamoto, and Yuka Yanagisawa
• Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems by Nicholas J. Higham, Srikara Pranesh, and Mawussi Zounon
• A Class of Fast and Accurate Summation Algorithms by Pierre Blanchard, Nicholas J. Higham, and Theo Mary
• Estimating the Largest Elements of a Matrix by Nicholas J. Higham and Samuel D. Relton

The full lists (updated daily) are available here and here.