Stable and efficient computation of generalized polar decompositions

Stable and efficient computation of generalized polar decompositions

We present methods for computing the generalized polar decomposition of a matrix based on the dynamically weighted Halley (DWH) iteration. This method is well established for computing the standard polar decomposition and a stable implementation is available, where matrix inversion is avoided and QR...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Benner, P, Nakatsukasa, Y, Penke, C
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Society for Industrial and Applied Mathematics 2022

Eitemau Tebyg

A backward stable algorithm for computing the CS decomposition via the Polar decomposition
gan: Gawlik, E, et al.
Cyhoeddwyd: (2018)

A structure-preserving divide-and-conquer method for pseudosymmetric matrices
gan: Benner, P, et al.
Cyhoeddwyd: (2023)

Massively parallel polar decomposition on distributed-memory systems
gan: Ltaief, H, et al.
Cyhoeddwyd: (2019)

Computing Fundamental Matrix Decompositions Accurately via the Matrix Sign Function in Two Iterations: The Power of Zolotarev's Functions
gan: Nakatsukasa, Y, et al.
Cyhoeddwyd: (2016)

Accuracy and stability of CUR decompositions with oversampling
gan: Park, T, et al.
Cyhoeddwyd: (2024)

Low-rank approximation of parameter-dependent matrices via CUR decomposition
gan: Park, T, et al.
Cyhoeddwyd: (2025)

Polarization Decomposition Algorithm for Detection Efficiency Enhancement
gan: Chao-Zhu Zhang, et al.
Cyhoeddwyd: (2013-12-01)

Stable polefinding and rational least-squares fitting via eigenvalues
gan: Ito, S, et al.
Cyhoeddwyd: (2018)

Efficient exposure computation by risk factor decomposition
gan: De Graaf, C, et al.
Cyhoeddwyd: (2018)

Numerical Computation of approximate Generalized Polarization Tensors
gan: Capdeboscq, Y, et al.
Cyhoeddwyd: (2011)

Are sketch-and-precondition least squares solvers numerically stable?
gan: Meier, M, et al.
Cyhoeddwyd: (2024)

Polar decomposition approach to Reid's inequality
gan: Lin C-S
Cyhoeddwyd: (2002-01-01)

Polar Neptunes Are Stable to Tides
gan: Emma M. Louden, et al.
Cyhoeddwyd: (2024-01-01)

A fast randomized algorithm for computing an approximate null space
gan: Park, T, et al.
Cyhoeddwyd: (2023)

Enhancing DNN Computational Efficiency via Decomposition and Approximation
gan: Ori Schweitzer, et al.
Cyhoeddwyd: (2024-01-01)

Angular-stable polarization rotator
gan: Qasim, Ali, et al.
Cyhoeddwyd: (2014)

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
gan: Nakatsukasa, Y, et al.
Cyhoeddwyd: (2019)

Efficient semidefinite programming with approximate ADMM
gan: Rontsis, N, et al.
Cyhoeddwyd: (2021)

On the stability of computing polynomial roots via confederate linearizations
gan: Nakatsukasa, Y, et al.
Cyhoeddwyd: (2015)

Inhibiting perovskite decomposition by a creeper-inspired strategy enables efficient and stable perovskite solar cells
gan: Shuxian Du, et al.
Cyhoeddwyd: (2024-06-01)

Fast algorithm for quantum polar decomposition and applications
gan: Yihui Quek, et al.
Cyhoeddwyd: (2022-02-01)

Efficient bounds and estimates for canonical angles in randomized subspace approximations
gan: Dong, Y, et al.
Cyhoeddwyd: (2024)

Distinguishing tissue structures via polarization staining images based on different combinations of Mueller matrix polar decomposition parameters
gan: Zhai, H, et al.
Cyhoeddwyd: (2022)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
gan: Adachi, S, et al.
Cyhoeddwyd: (2017)

Solving generalized CDT problems via two-parameter eigenvalues
gan: Sakaue, S, et al.
Cyhoeddwyd: (2016)

Power system fault diagnosis with quantum computing and efficient gate decomposition
gan: Xiang Fei, et al.
Cyhoeddwyd: (2024-07-01)

Fast decomposition of food waste to produce mature and stable compost
gan: Ika Bagus Priyambada, et al.
Cyhoeddwyd: (2018-12-01)

Polar decomposition of Mueller matrices for 2D-structured surfaces
gan: Moreno F., et al.
Cyhoeddwyd: (2010-06-01)

Incremental updates of generalized hypertree decompositions
gan: Gottlob, G, et al.
Cyhoeddwyd: (2022)

Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition
gan: Pingping Zhang, et al.
Cyhoeddwyd: (2012-01-01)

Research on IMU Calibration Model Based on Polar Decomposition
gan: Guiling Zhao, et al.
Cyhoeddwyd: (2023-03-01)

Models of learning and the polar decomposition of bounded linear operators
gan: Fernanda Botelho, et al.
Cyhoeddwyd: (2010-09-01)

On the generalization and decomposition of the Bonferroni Index
gan: Elena Barcena-Martin, et al.
Cyhoeddwyd: (2012)

Generalized decomposition of multivariate information.
gan: Thomas F Varley
Cyhoeddwyd: (2024-01-01)

A generalization of decomposition in orbifolds
gan: Daniel G. Robbins, et al.
Cyhoeddwyd: (2021-10-01)

More on decomposition of generalized continuity
gan: Roy Bishwambhar
Cyhoeddwyd: (2020-07-01)

Computing the common zeros of two bivariate functions via Bezout resultants
gan: Nakatsukasa, Y, et al.
Cyhoeddwyd: (2013)

Spatial changes in soil stable isotopic composition in response to carrion decomposition
gan: S. W. Keenan, et al.
Cyhoeddwyd: (2019-10-01)

Experimental validation of the reverse polar decomposition of depolarizing Mueller matrices
gan: Anastasiadou Makrina, et al.
Cyhoeddwyd: (2007-01-01)

Stable gonality is computable
gan: Ragnar Groot Koerkamp, et al.
Cyhoeddwyd: (2019-06-01)