UB Paderborn / Katalog / Suche / in CDI

Optimization algorithms on matrix manifolds

1, 2008

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Low-Rank Optimization with Trace Norm Penalty

SIAM journal on optimization, 2013-01, Vol.23 (4), p.2124-2149

2013

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Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

SIAM journal on optimization, 2010-01, Vol.20 (5), p.2327-2351

2010

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Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Acta applicandae mathematicae, 2004-01, Vol.80 (2), p.199-220

2004

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A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

SIAM review, 2002-03, Vol.44 (1), p.57-73

2002

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Cubically convergent iterations for invariant subspace computation

SIAM journal on matrix analysis and applications, 2004-01, Vol.26 (1), p.70-96

2004

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Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

SIAM journal on control and optimization, 2001-01, Vol.40 (3), p.661-680

2001

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An operator-theoretic approach to differential positivity

2015 54th IEEE Conference on Decision and Control (CDC), 2015, p.7028-7033

2015

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Differential positivity with respect to cones of rank k ≥ 2

IFAC-PapersOnLine, 2017, Vol.50 (1), p.7439-7444

2017

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On differentially dissipative dynamical systems

IFAC Proceedings Volumes, 2013, Vol.46 (23), p.15-20

2013

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Invariant Differential Positivity and Consensus on Lie Groups

IFAC-PapersOnLine, 2016, Vol.49 (18), p.630-635

2016

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Path-complete positivity of switching systems

IFAC-PapersOnLine, 2017, Vol.50 (1), p.4558-4563

2017

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Differentially passive circuits that switch and oscillate

IFAC-PapersOnLine, 2018, Vol.51 (13), p.19-24

2018

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Oscillators as Systems and Synchrony as a Design Principle

Current Trends in Nonlinear Systems and Control, p.123-141

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Consensus on Nonlinear Spaces

IFAC Proceedings Volumes, 2010-09, Vol.43 (14), p.1029-1039

Sepulchre, R.

2010

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Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems

SIAM journal on control and optimization, 1996-09, Vol.34 (5), p.1798-1813

1996

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Computation of time-optimal switchings for linear systems with complex poles

2003 European Control Conference (ECC), 2003, p.2190-2195

2003

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Boundedness Properties For Time-Varying Nonlinear Systems

SIAM journal on control and optimization, 2000-01, Vol.39 (5), p.1408-1422

2000

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Notation Conventions

Optimization Algorithms on Matrix Manifolds, 2009, p.xv-xvi

2009

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List of Algorithms

Optimization Algorithms on Matrix Manifolds, 2009, p.xi-xii

2009

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Matrix Manifolds: First-Order Geometry

Optimization Algorithms on Matrix Manifolds, 2009, p.17-53

2009

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Newton’s Method

Optimization Algorithms on Matrix Manifolds, 2009, p.111-135

2009

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A Constellation of Superlinear Algorithms

Optimization Algorithms on Matrix Manifolds, 2009, p.168-188

2009

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Matrix Manifolds: Second-Order Geometry

Optimization Algorithms on Matrix Manifolds, 2009, p.91-110

2009

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Line-Search Algorithms on Manifolds

Optimization Algorithms on Matrix Manifolds, 2009, p.54-90

2009

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Optimization algorithms on matrix manifolds

Low-Rank Optimization with Trace Norm Penalty

Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

Cubically convergent iterations for invariant subspace computation

Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

An operator-theoretic approach to differential positivity

Differential positivity with respect to cones of rank k ≥ 2

On differentially dissipative dynamical systems

Invariant Differential Positivity and Consensus on Lie Groups

Path-complete positivity of switching systems

Differentially passive circuits that switch and oscillate

Oscillators as Systems and Synchrony as a Design Principle

Consensus on Nonlinear Spaces

Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems

Computation of time-optimal switchings for linear systems with complex poles

Boundedness Properties For Time-Varying Nonlinear Systems

Notation Conventions

List of Algorithms

Matrix Manifolds: First-Order Geometry

Newton’s Method

A Constellation of Superlinear Algorithms

Matrix Manifolds: Second-Order Geometry

Line-Search Algorithms on Manifolds

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