Least-squares spectral methods for ODE eigenvalue problems

Least-squares spectral methods for ODE eigenvalue problems

We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squares formulation of the problem. The key tool is a method for rectangular generalized eigenvalue problems, which we extend to quasimatrices and objects combining quasimatrices and matrices. The strengt...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Hashemi, B, Nakatsukasa, Y
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Society for Industrial and Applied Mathematics 2022

Eitemau Tebyg

Stable polefinding and rational least-squares fitting via eigenvalues
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Cyhoeddwyd: (2018)

Rectangular eigenvalue problems
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Cyhoeddwyd: (2022)

Solving Nonlinear Second Order Delay Eigenvalue Problems by Least Square Method
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Cyhoeddwyd: (2020-10-01)

The Least Eigenvalue of the Complement of the Square Power Graph of G
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Cyhoeddwyd: (2021-01-01)

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
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Cyhoeddwyd: (2019)

Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs
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Cyhoeddwyd: (2019)

On the spectral problem for trivariate functions
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Cyhoeddwyd: (2018)

Solving two-parameter eigenvalue problems using an alternating method
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Cyhoeddwyd: (2022)

Inverse Eigenvalue Problem and Least-Squares Problem for Skew-Hermitian {P,K + 1}-Reflexive Matrices
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Cyhoeddwyd: (2022-01-01)

Non-linear Least-Squares Optimization of Rational Filters for the Solution of Interior Hermitian Eigenvalue Problems
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Are sketch-and-precondition least squares solvers numerically stable?
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Cyhoeddwyd: (2024)

Fast and accurate randomized algorithms for linear systems and eigenvalue problems
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Cyhoeddwyd: (2024)

Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
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Cyhoeddwyd: (2019-06-01)

Alternative structured spectral gradient algorithms for solving nonlinear least-squares problems
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Cyhoeddwyd: (2021-07-01)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
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Solving generalized CDT problems via two-parameter eigenvalues
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Least-Squares Neutron Spectral Adjustment with STAYSL PNNL
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Twice is enough for dangerous eigenvalues
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Bernstein spectral method for quasinormal modes and other eigenvalue problems
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A Modified Structured Spectral HS Method for Nonlinear Least Squares Problems and Applications in Robot Arm Control
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A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction
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Parameterized Nonlinear Least Squares for Unsupervised Nonlinear Spectral Unmixing
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Generalized Least Squares and Weighted Least Squares Estimation Methods for Distributional Parameters
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Accurate solution of the eigenvalue problem for some systems of ODE for calculating holes states in polynomial quantum wells
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A hybrid incremental gradient method for least squares problems
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Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products
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Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint
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Sparsity-Enhanced Constrained Least-Squares Spectral Analysis with Greedy-FISTA
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Least Squares Problems with Absolute Quadratic Constraints
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The solution of least squares problems with bounded uncertainties /
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Spectral Profile Partial Least-Squares (SP-PLS): Local multivariate pansharpening on spectral profiles
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Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
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Efficient Parameters Estimation Method for the Separable Nonlinear Least Squares Problem
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Solution of Steady Incompressible MHD Problems with Quasi-Least Square Method
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