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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Benner, P, Nakatsukasa, Y, Penke, C
Формат:	Journal article
Хэл сонгох:	English
Хэвлэсэн:	Society for Industrial and Applied Mathematics 2022

Ижил төстэй зүйлс

A backward stable algorithm for computing the CS decomposition via the Polar decomposition
-н: Gawlik, E, зэрэг
Хэвлэсэн: (2018)

A structure-preserving divide-and-conquer method for pseudosymmetric matrices
-н: Benner, P, зэрэг
Хэвлэсэн: (2023)

Massively parallel polar decomposition on distributed-memory systems
-н: Ltaief, H, зэрэг
Хэвлэсэн: (2019)

Computing Fundamental Matrix Decompositions Accurately via the Matrix Sign Function in Two Iterations: The Power of Zolotarev's Functions
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2016)

Accuracy and stability of CUR decompositions with oversampling
-н: Park, T, зэрэг
Хэвлэсэн: (2024)

Low-rank approximation of parameter-dependent matrices via CUR decomposition
-н: Park, T, зэрэг
Хэвлэсэн: (2025)

Polarization Decomposition Algorithm for Detection Efficiency Enhancement
-н: Chao-Zhu Zhang, зэрэг
Хэвлэсэн: (2013-12-01)

Stable polefinding and rational least-squares fitting via eigenvalues
-н: Ito, S, зэрэг
Хэвлэсэн: (2018)

Efficient exposure computation by risk factor decomposition
-н: De Graaf, C, зэрэг
Хэвлэсэн: (2018)

Numerical Computation of approximate Generalized Polarization Tensors
-н: Capdeboscq, Y, зэрэг
Хэвлэсэн: (2011)

Are sketch-and-precondition least squares solvers numerically stable?
-н: Meier, M, зэрэг
Хэвлэсэн: (2024)

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

Polar Neptunes Are Stable to Tides
-н: Emma M. Louden, зэрэг
Хэвлэсэн: (2024-01-01)

A fast randomized algorithm for computing an approximate null space
-н: Park, T, зэрэг
Хэвлэсэн: (2023)

Enhancing DNN Computational Efficiency via Decomposition and Approximation
-н: Ori Schweitzer, зэрэг
Хэвлэсэн: (2024-01-01)

Angular-stable polarization rotator
-н: Qasim, Ali, зэрэг
Хэвлэсэн: (2014)

Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2019)

Efficient semidefinite programming with approximate ADMM
-н: Rontsis, N, зэрэг
Хэвлэсэн: (2021)

On the stability of computing polynomial roots via confederate linearizations
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2015)

Inhibiting perovskite decomposition by a creeper-inspired strategy enables efficient and stable perovskite solar cells
-н: Shuxian Du, зэрэг
Хэвлэсэн: (2024-06-01)

Fast algorithm for quantum polar decomposition and applications
-н: Yihui Quek, зэрэг
Хэвлэсэн: (2022-02-01)

Efficient bounds and estimates for canonical angles in randomized subspace approximations
-н: Dong, Y, зэрэг
Хэвлэсэн: (2024)

Distinguishing tissue structures via polarization staining images based on different combinations of Mueller matrix polar decomposition parameters
-н: Zhai, H, зэрэг
Хэвлэсэн: (2022)

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem
-н: Adachi, S, зэрэг
Хэвлэсэн: (2017)

Solving generalized CDT problems via two-parameter eigenvalues
-н: Sakaue, S, зэрэг
Хэвлэсэн: (2016)

Power system fault diagnosis with quantum computing and efficient gate decomposition
-н: Xiang Fei, зэрэг
Хэвлэсэн: (2024-07-01)

Fast decomposition of food waste to produce mature and stable compost
-н: Ika Bagus Priyambada, зэрэг
Хэвлэсэн: (2018-12-01)

Polar decomposition of Mueller matrices for 2D-structured surfaces
-н: Moreno F., зэрэг
Хэвлэсэн: (2010-06-01)

Incremental updates of generalized hypertree decompositions
-н: Gottlob, G, зэрэг
Хэвлэсэн: (2022)

Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition
-н: Pingping Zhang, зэрэг
Хэвлэсэн: (2012-01-01)

Research on IMU Calibration Model Based on Polar Decomposition
-н: Guiling Zhao, зэрэг
Хэвлэсэн: (2023-03-01)

Models of learning and the polar decomposition of bounded linear operators
-н: Fernanda Botelho, зэрэг
Хэвлэсэн: (2010-09-01)

On the generalization and decomposition of the Bonferroni Index
-н: Elena Barcena-Martin, зэрэг
Хэвлэсэн: (2012)

Generalized decomposition of multivariate information.
-н: Thomas F Varley
Хэвлэсэн: (2024-01-01)

A generalization of decomposition in orbifolds
-н: Daniel G. Robbins, зэрэг
Хэвлэсэн: (2021-10-01)

More on decomposition of generalized continuity
-н: Roy Bishwambhar
Хэвлэсэн: (2020-07-01)

Computing the common zeros of two bivariate functions via Bezout resultants
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2013)

Spatial changes in soil stable isotopic composition in response to carrion decomposition
-н: S. W. Keenan, зэрэг
Хэвлэсэн: (2019-10-01)

Experimental validation of the reverse polar decomposition of depolarizing Mueller matrices
-н: Anastasiadou Makrina, зэрэг
Хэвлэсэн: (2007-01-01)

Stable gonality is computable
-н: Ragnar Groot Koerkamp, зэрэг
Хэвлэсэн: (2019-06-01)