☆ 4.6 Article

Riemannian optimization methods for the truncated Takagi factorization

NUMERICAL ALGORITHMS (2023)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

RIEMANNIAN OPTIMIZATION ON THE SYMPLECTIC STIEFEL MANIFOLD

Bin Gao et al.

Summary: The symplectic Stiefel manifold, Sp(2p, 2n), is a set of linear symplectic maps between standard symplectic spaces with optimization problems finding applications in various fields. The paper proposes and analyzes gradient-descent methods on Sp(2p, 2n) using a novel Riemannian metric, with resulting optimization algorithms proven to globally converge to critical points. Numerical experiments demonstrate the efficiency of the proposed methods.

SIAM JOURNAL ON OPTIMIZATION (2021)

添加到收藏夹

Article Mathematics, Applied

Superconvergence of C0-Qk Finite Element Method for Elliptic Equations with Approximated Coefficients

Hao Li et al.

JOURNAL OF SCIENTIFIC COMPUTING (2019)

添加到收藏夹

Article Operations Research & Management Science

A Riemannian conjugate gradient method for optimization on the Stiefel manifold

Xiaojing Zhu

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2017)

添加到收藏夹

Article Operations Research & Management Science

A new, globally convergent Riemannian conjugate gradient method

Hiroyuki Sato et al.

OPTIMIZATION (2015)

添加到收藏夹

Article Computer Science, Software Engineering

A feasible method for optimization with orthogonality constraints

Zaiwen Wen et al.

MATHEMATICAL PROGRAMMING (2013)

添加到收藏夹

Article Mathematics, Applied

A RIEMANNIAN OPTIMIZATION APPROACH TO THE MATRIX SINGULAR VALUE DECOMPOSITION

Hiroyuki Sato et al.

SIAM JOURNAL ON OPTIMIZATION (2013)

添加到收藏夹

Article Mathematics, Applied

A divide-and-conquer method for the Takagi factorization

Wei Xu et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2008)

添加到收藏夹

Review Chemistry, Physical

Chemical exchange in NMR

AD Bain

PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY (2003)

添加到收藏夹

Article Mathematics, Applied

Hybrid methods for approximating Hankel matrix

S Al-Homidan

NUMERICAL ALGORITHMS (2003)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.