Parallel Prony's Method with Multivariate Matrix Pencil Approach and Its Numerical Aspects

DOI10.1137/20M1343658MaRDI QIDQ4986832

Nela Bosner

Publication date: 28 April 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11430

zbMATH Keywords

parallel algorithmnumerical analysisProny's methodefficient GPU-CPU implementation

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Applications to the sciences (65Z05) Complexity and performance of numerical algorithms (65Y20) Numerical linear algebra (65F99) Error analysis and interval analysis (65G99)

Uses Software

• BLAS
• CUDA
• PROPACK
• mctoolbox
• CUBLAS

Cites Work

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• Parameter estimation for nonincreasing exponential sums by Prony-like methods
• Fast ESPRIT algorithms based on partial singular value decompositions
• A multivariate generalization of Prony's method
• Parameter estimation for exponential sums by approximate prony method
• Absolute and relative perturbation bounds for invariant subspaces of matrices
• A randomized multivariate matrix pencil method for superresolution microscopy
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• Multidimensional ESPRIT for Damped and Undamped Signals: Algorithm, Computations, and Perturbation Analysis
• ESPRIT for Multidimensional General Grids
• Accuracy and Stability of Numerical Algorithms
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Perturbation bounds in connection with singular value decomposition
• Bidiagonalization of Matrices and Solution of Linear Equations

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