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Riemannian Newton Method for the Multivariate Eigenvalue Problem

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/b105056openalex-snapshot
The Schur Complement and Its Applications
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Relations among m Sets of Measures
inferredcites →https://doi.org/10.1007/bf02294207openalex-snapshot
Linear Relations among k Sets of Variables
inferredcites →https://doi.org/10.1007/bf02294402openalex-snapshot
Generalized Approaches to the Maxbet Problem and the Maxdiff Problem, with Applications to Canonical Correlations
inferredcites →https://doi.org/10.1007/bf02296655openalex-snapshot
Global Optimality of the Successive Maxbet Algorithm
inferredcites →https://doi.org/10.1007/s10208-005-0179-9openalex-snapshot
Trust-Region Methods on Riemannian Manifolds
inferredcites →https://doi.org/10.1007/s10898-010-9536-6openalex-snapshot
Towards the global solution of the maximal correlation problem
inferredcites →https://doi.org/10.1007/s10957-006-9081-0openalex-snapshot
Globally Convergent Optimization Algorithms on Riemannian Manifolds: Uniform Framework for Unconstrained and Constrained Optimization
inferredcites →https://doi.org/10.1016/0009-2614(90)85633-nopenalex-snapshot
Passing the one-billion limit in full configuration-interaction (FCI) calculations
inferredcites →https://doi.org/10.1016/j.laa.2009.11.026openalex-snapshot
Spectral analysis of coupled linear complementarity problems
inferredcites →https://doi.org/10.1017/9781108993456.011openalex-snapshot
Numerical optimization
inferredcites →https://doi.org/10.1017/s0962492904000212openalex-snapshot
Numerical solution of saddle point problems
inferredcites →https://doi.org/10.1023/a:1021930421106openalex-snapshot
Inexact Rayleigh Quotient-Type Methods for Eigenvalue Computations
inferredcites →https://doi.org/10.1023/a:1025544928604openalex-snapshot
Block Preconditioners for Saddle Point Problems
inferredcites →https://doi.org/10.1023/b:acap.0000013855.14971.91openalex-snapshot
Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation
inferredcites →https://doi.org/10.1037/h0058165openalex-snapshot
The most predictable criterion.
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0405823-3openalex-snapshot
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
inferredcites →https://doi.org/10.1093/biomet/28.3-4.321openalex-snapshot
RELATIONS BETWEEN TWO SETS OF VARIATES
inferredcites →https://doi.org/10.1093/biomet/58.3.433openalex-snapshot
Canonical Analysis of Several Sets of Variables
inferredcites →https://doi.org/10.1093/imanum/22.3.359openalex-snapshot
Newton's method on Riemannian manifolds and a geometric model for the human spine
inferredcites →https://doi.org/10.1093/imanum/drq029openalex-snapshot
Computing absolute maximum correlation
inferredcites →https://doi.org/10.1137/0720042openalex-snapshot
The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
inferredcites →https://doi.org/10.1137/0726037openalex-snapshot
The Dynamics of Rayleigh Quotient Iteration
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0914066openalex-snapshot
On a Multivariate Eigenvalue Problem, Part I: Algebraic Theory and a Power Method
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1021052openalex-snapshot
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
inferredcites →https://doi.org/10.1137/s0036142994273343openalex-snapshot
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
inferredcites →https://doi.org/10.1137/s0036144500378648openalex-snapshot
A Grassmann--Rayleigh Quotient Iteration for Computing Invariant Subspaces
inferredcites →https://doi.org/10.1137/s0036144599363084openalex-snapshot
A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479800375540openalex-snapshot
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning
inferredcites →https://doi.org/10.1137/s0895479894262339openalex-snapshot
GMRES On (Nearly) Singular Systems
inferredcites →https://doi.org/10.1137/s0895479894270427openalex-snapshot
A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479895290954openalex-snapshot
The Geometry of Algorithms with Orthogonality Constraints
inferredcites →https://doi.org/10.1162/0899766042321814openalex-snapshot
Canonical Correlation Analysis: An Overview with Application to Learning Methods
inferredcites →https://doi.org/10.1515/9781400830244openalex-snapshot
Optimization Algorithms on Matrix Manifolds
inferredcites →https://doi.org/10.2307/1421153openalex-snapshot
Factor Analysis of Data Matrices
inferredcites →https://doi.org/10.2307/1910003openalex-snapshot
Studies in Linear and Nonlinear Programming
inferredcites →https://doi.org/10.5860/choice.33-4556openalex-snapshot
Iterative methods for linear and nonlinear equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s10444-015-9426-zopenalex-snapshot
ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds
inferred← citeshttps://doi.org/10.1007/s10444-022-09929-3openalex-snapshot
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction
inferred← citeshttps://doi.org/10.1007/s10489-026-07313-yopenalex-snapshot
Multiple feature fusion using supervised multiset canonical correlations with power-symmetric successive overrelaxation
inferred← citeshttps://doi.org/10.1007/s10898-016-0472-yopenalex-snapshot
Kantorovich’s theorem on Newton’s method under majorant condition in Riemannian manifolds
inferred← citeshttps://doi.org/10.1016/j.amc.2013.11.055openalex-snapshot
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions
inferred← citeshttps://doi.org/10.1016/j.cam.2013.04.023openalex-snapshot
Third-order methods on Riemannian manifolds under Kantorovich conditions
inferred← citeshttps://doi.org/10.1016/j.neucom.2022.09.018openalex-snapshot
Orthogonal multi-view analysis by successive approximations via eigenvectors
inferred← citeshttps://doi.org/10.1080/01630563.2011.618961openalex-snapshot
Riemannian Trust-Region Method for the Maximal Correlation Problem
inferred← citeshttps://doi.org/10.1093/imanum/draf047openalex-snapshot
A Riemannian inexact Newton method for solving the orthogonal INDSCAL problem in multidimensional scaling
inferred← citeshttps://doi.org/10.1093/imanum/drv043openalex-snapshot
Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds
inferred← citeshttps://doi.org/10.1109/icmic.2017.8321636openalex-snapshot
A novel supervised multiset integrated canonical correlation analysis for multi-feature fusion and recognition
inferred← citeshttps://doi.org/10.1109/tcyb.2022.3155875openalex-snapshot
Multiview Regularized Discriminant Canonical Correlation Analysis: Sequential Extraction of Relevant Features From Multiblock Data
inferred← citeshttps://doi.org/10.1109/tkde.2022.3185399openalex-snapshot
Adaptive Generalized Multi-View Canonical Correlation Analysis for Incrementally Update Multiblock Data
inferred← citeshttps://doi.org/10.1109/tnnls.2013.2288062openalex-snapshot
Multiset Canonical Correlations Using Globality Preserving Projections With Applications to Feature Extraction and Recognition
inferred← citeshttps://doi.org/10.1109/tsp.2013.2239994openalex-snapshot
Vectorial Phase Retrieval of 1-D Signals
inferred← citeshttps://doi.org/10.1137/15m1051257openalex-snapshot
Proximal Point Algorithms on Hadamard Manifolds: Linear Convergence and Finite Termination
inferred← citeshttps://doi.org/10.1137/20m1353691openalex-snapshot
A Structure-Exploiting Nested Lanczos-Type Iteration for the Multiview Canonical Correlation Analysis
inferred← citeshttps://doi.org/10.1137/23m1614808openalex-snapshot
The Multivariate Eigenvalues of Symmetric Tensors
inferred← citeshttps://doi.org/10.13001/1081-3810.1677openalex-snapshot
Sensitivity analysis for the multivariate eigenvalue problem
inferred← citeshttps://doi.org/10.48550/arxiv.2111.03236openalex-snapshot
Locally Feasibly Projected Sequential Quadratic Programming for Nonlinear Programming on Arbitrary Smooth Constraint Manifolds
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