Homotopy method for matrix rank minimization based on the matrix hard thresholding method

Numerical Algebra Control & Optimization ◽

10.3934/naco.2019015 ◽

2019 ◽

Vol 9 (2) ◽

pp. 211-224

Author(s):

Zhengshan Dong ◽

◽

Jianli Chen ◽

Wenxing Zhu ◽

Keyword(s):

Homotopy Method ◽

Rank Minimization ◽

Hard Thresholding ◽

Matrix Rank ◽

Thresholding Method ◽

Matrix Rank Minimization ◽

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A New Approximation of the Matrix Rank Function and Its Application to Matrix Rank Minimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0477-3 ◽

2013 ◽

Vol 163 (2) ◽

pp. 569-594 ◽

Author(s):

Chengjin Li

Keyword(s):

Rank Function ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

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Cooperative spectrum sensing based on matrix rank minimization

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) ◽

10.1109/icassp.2011.5946289 ◽

2011 ◽

Author(s):

Yue Wang ◽

Zhi Tian ◽

Chunyan Feng

Keyword(s):

Spectrum Sensing ◽

Cooperative Spectrum Sensing ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization

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Subspace expanders and matrix rank minimization

2011 IEEE International Symposium on Information Theory Proceedings ◽

10.1109/isit.2011.6033974 ◽

2011 ◽

Author(s):

Samet Oymak ◽

Amin Khajehnejad ◽

Babak Hassibi

Keyword(s):

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization

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Exact relaxation for the semidefinite matrix rank minimization problem with extended Lyapunov equation constraint

Electronic Journal of Linear Algebra ◽

10.13001/1081-3810.1929 ◽

2014 ◽

Vol 27 ◽

Author(s):

Ziyan Luo ◽

Naihua Xiu

Keyword(s):

Minimization Problem ◽

Lyapunov Equation ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

Semidefinite Matrix ◽

Equation Constraint

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Hankel Matrix Rank Minimization with Applications to System Identification and Realization

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/110853996 ◽

2013 ◽

Vol 34 (3) ◽

pp. 946-977 ◽

Author(s):

Maryam Fazel ◽

Ting Kei Pong ◽

Defeng Sun ◽

Paul Tseng

Keyword(s):

System Identification ◽

Hankel Matrix ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization

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Subspace clustering and multiple matrix rank minimization approach to image inpainting algorithm

2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE) ◽

10.23919/sice.2017.8105513 ◽

2017 ◽

Author(s):

Tomohiro Takahashi ◽

Katsumi Konishi ◽

Kazunori Uruma ◽

Toshihiro Furukawa

Keyword(s):

Image Inpainting ◽

Subspace Clustering ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

Minimization Approach

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An approximation theory of matrix rank minimization and its application to quadratic equations

Linear Algebra and its Applications ◽

10.1016/j.laa.2012.02.021 ◽

2012 ◽

Vol 437 (1) ◽

pp. 77-93 ◽

Author(s):

Yun-Bin Zhao

Keyword(s):

Approximation Theory ◽

Rank Minimization ◽

Matrix Rank ◽

Quadratic Equations ◽

Matrix Rank Minimization

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Corrigendum to “Affine matrix rank minimization problem via non-convex fraction function penalty” [J. Comput. Appl. Math. 336 (2018) 353–374]

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.036 ◽

2019 ◽

Vol 352 ◽

pp. 478-485

Author(s):

Angang Cui ◽

Jigen Peng ◽

Haiyang Li ◽

Chengyi Zhang ◽

Youngchao Yu

Keyword(s):

Minimization Problem ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

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Matrix rank minimization approach to signal recovery and nonlinear function estimation for nonlinear ARX model with input nonlinearity

2017 11th Asian Control Conference (ASCC) ◽

10.1109/ascc.2017.8287382 ◽

2017 ◽

Author(s):

Katsumi Konishi ◽

Masashi Fujii ◽

Katsuyuki Kunida ◽

Shinsuke Uda ◽

Shinya Kuroda

Keyword(s):

Nonlinear Function ◽

Signal Recovery ◽

Function Estimation ◽

Rank Minimization ◽

Arx Model ◽

Input Nonlinearity ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

Minimization Approach

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Sequential matrix rank minimization approach to signal recovery based on subspace system identification

2012 IEEE International Conference on Control Applications ◽

10.1109/cca.2012.6402385 ◽

2012 ◽

Author(s):

Katsumi Konishi ◽

Ryo Kawaguchi

Keyword(s):

System Identification ◽

Signal Recovery ◽

Rank Minimization ◽

Matrix Rank ◽

Matrix Rank Minimization ◽

Subspace System Identification ◽

Minimization Approach

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