Tensor conjugate-gradient-type method for Rayleigh quotient minimization in block QTT format

By О.С. Лебедева. 2011

28 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanical Engineering, Numerical Analysis

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Dmitry V. Savostyanov
2. V. Dolgov
3. Andrzej S. Cichocki
4. Ivan V. Oseledets
5. Qibin Zhao
6. Anh Huy Phan
7. Danilo P. Mandic
8. Boris N. Khoromskij

In Mechanical Engineering

1. Liqing Zhang
2. Qibin Zhao
3. Shengli Xie
4. Andrzej S. Cichocki
5. Ivan V. Oseledets
6. Guoxu Zhou
7. Namgil Lee
8. V. Dolgov

In Numerical Analysis

1. V. Dolgov
2. Liqing Zhang
3. Qibin Zhao
4. Shengli Xie
5. Andrzej S. Cichocki
6. Ivan V. Oseledets
7. Guoxu Zhou
8. Namgil Lee

Citations in the corpus

• Tensor Ring Decomposition (2016, methodology): “In [32], [47], TT decomposition is optimized by a suitable generalization of the alternating least squares (ALS) algorithm and modified ALS (MALS) algorithm which facilitates the self-adaptation of ranks either by using SVDs or by employing a greedy algo-rithm.”
• ALTERNATING MINIMAL ENERGY METHODS FOR LINEAR SYSTEMS IN HIGHER DIMENSIONS∗ (2014, methodology): “, algorithms for the solution of linear systems [51, 21, 47, 38, 34, 31, 39, 2, 8, 4, 3], partial eigenproblems [41, 40, 24, 20], and Fourier transform [11].”
• Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 2 Applications and Future Perspectives (2017, methodology): “, 2016, Huckle and Waldherr, 2012], preconditioned inverse iteration with TT format [Mach, 2013], block CG method (LOBPCG) combined with TT format [Lebedeva, 2011] and with HT format [Kressner and Tobler, 2011b]; • Iterative hard thresholding for low-rank matrix/tensor completion [Foucart and Rauhut”