Numerical linear algebra in data assimilation
AbstractData assimilation is a method that combines observations (ie, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model is usually represented by a discretized partial differential equation.
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Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations [PDF]
Peter Benner +3 more
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Asymptotic Analysis of Sampling Estimators for Randomized Numerical Linear Algebra Algorithms [PDF]
Ping Ma +4 more
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A Riemann--Hilbert approach to the perturbation theory for orthogonal polynomials: Applications to numerical linear algebra and random matrix theory [PDF]
Xiucai Ding, Thomas Trogdon
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Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections
Let H be a complex separable Hilbert space and BH be the algebra of all bounded linear operators from H to H. Our goal in this article is to describe the closure of numerical range of parallel sum operator P:PQ for two orthogonal projections P and Q in ...
Weiyan Yu, Ran Wang, Chen Zhang
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Minimizing Communication in Numerical Linear Algebra [PDF]
Grey Ballard +3 more
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An Accelerated Sixth-Order Procedure to Determine the Matrix Sign Function Computationally
The matrix sign function has a key role in several applications in numerical linear algebra. This paper presents a novel iterative approach with a sixth order of convergence to efficiently compute this function.
Shuai Wang +4 more
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Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems [PDF]
Andrea Aspri +2 more
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Photonic co-processors in HPC: Using LightOn OPUs for Randomized Numerical Linear Algebra [PDF]
Daniel Hesslow +8 more
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A survey of numerical linear algebra methods utilizing mixed-precision arithmetic
Ahmad Abdelfattah +20 more
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