A Riemannian-steepest-descent approach for optimization on the real symplectic group

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4890 ◽

2018 ◽

Vol 41 (11) ◽

pp. 4273-4286 ◽

Author(s):

Jing Wang ◽

Huafei Sun ◽

Simone Fiori

Keyword(s):

Symplectic Group ◽

Steepest Descent ◽

The Real ◽

Real Symplectic Group

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The portion of matrices with real spectrum in the Lie algebra of the real symplectic group

Siberian Mathematical Journal ◽

10.1134/s0037446614060081 ◽

2014 ◽

Vol 55 (6) ◽

pp. 1056-1072 ◽

Author(s):

A. S. Krivonogov ◽

V. A. Churkin

Keyword(s):

Lie Algebra ◽

Symplectic Group ◽

Real Spectrum ◽

The Real ◽

Real Symplectic Group

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Higgs bundles and surface group representations in the real symplectic group

Journal of Topology ◽

10.1112/jtopol/jts030 ◽

2012 ◽

Vol 6 (1) ◽

pp. 64-118 ◽

Author(s):

O. García-Prada ◽

P. B. Gothen ◽

I. Mundet i Riera

Keyword(s):

Symplectic Group ◽

Surface Group ◽

Higgs Bundles ◽

Group Representations ◽

The Real ◽

Real Symplectic Group ◽

Surface Group Representations

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Higgs bundles and the real symplectic group

10.1063/1.3599126 ◽

2011 ◽

Author(s):

Peter B. Gothen ◽

Carlos Herdeiro ◽

Roger Picken

Keyword(s):

Symplectic Group ◽

Higgs Bundles ◽

The Real ◽

Real Symplectic Group

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Coherent states of the real symplectic group in a complex analytic parametrization. I. Unitary‐operator coherent states

Journal of Mathematical Physics ◽

10.1063/1.527238 ◽

1986 ◽

Vol 27 (2) ◽

pp. 428-441 ◽

Author(s):

C. Quesne

Keyword(s):

Coherent States ◽

Symplectic Group ◽

Unitary Operator ◽

The Real ◽

Analytic Parametrization ◽

Real Symplectic Group

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On the universal covering group of the real symplectic group

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2012.05.009 ◽

2012 ◽

Vol 62 (10) ◽

pp. 2044-2058 ◽

Author(s):

John Rawnsley

Keyword(s):

Symplectic Group ◽

Universal Covering ◽

Universal Covering Group ◽

The Real ◽

Covering Group ◽

Real Symplectic Group

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Optimization on the real symplectic group

Monatshefte für Mathematik ◽

10.1007/s00605-020-01369-9 ◽

2020 ◽

Vol 191 (3) ◽

pp. 465-485

Author(s):

Petre Birtea ◽

Ioan Caşu ◽

Dan Comănescu

Keyword(s):

Symplectic Group ◽

The Real ◽

Real Symplectic Group

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A pseudo-Riemannian-gradient approach to the least-squares problem on the real symplectic group

2010 IEEE International Conference on Acoustics, Speech and Signal Processing ◽

10.1109/icassp.2010.5495296 ◽

2010 ◽

Author(s):

Simone Fiori

Keyword(s):

Least Squares ◽

Symplectic Group ◽

Least Squares Problem ◽

The Real ◽

Real Symplectic Group ◽

Gradient Approach

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Partially coherent states of the real symplectic group

Journal of Mathematical Physics ◽

10.1063/1.526456 ◽

1984 ◽

Vol 25 (8) ◽

pp. 2354-2366 ◽

Author(s):

J. Deenen ◽

C. Quesne

Keyword(s):

Coherent States ◽

Symplectic Group ◽

The Real ◽

Partially Coherent ◽

Real Symplectic Group

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Holomorphic discrete series for the real symplectic group

Inventiones mathematicae ◽

10.1007/bf01418850 ◽

1973 ◽

Vol 19 (1) ◽

pp. 49-58 ◽

Author(s):

Stephen Gelbart

Keyword(s):

Symplectic Group ◽

Discrete Series ◽

Holomorphic Discrete Series ◽

The Real ◽

Real Symplectic Group

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Boson representations of the real symplectic group and their applications to the nuclear collective model

Journal of Mathematical Physics ◽

10.1063/1.526740 ◽

1985 ◽

Vol 26 (11) ◽

pp. 2705-2716 ◽

Author(s):

J. Deenen ◽

C. Quesne

Keyword(s):

Symplectic Group ◽

Collective Model ◽

The Real ◽

Real Symplectic Group

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