Perturbation theory for Moore–Penrose inverse of tensor via Einstein product

Randomized algorithms for the approximations of Tucker and the tensor train decompositions

(2018) Maolin Che et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

The Drazin inverse of an even-order tensor and its application to singular tensor equations

(2018) Jun Ji et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Generalized inverses of tensors via a general product of tensors

(2018) Lizhu Sun et al.   Frontiers of Mathematics in China

Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse

(2018) Sanzheng Qiao et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Tensor extreme learning design via generalized Moore–Penrose inverse and triangular type-2 fuzzy sets

(2018) Sharina Huang et al.   NEURAL COMPUTING & APPLICATIONS

Tensor inversion and its application to the tensor equations with Einstein product

(2018) Mao-lin Liang et al.   LINEAR & MULTILINEAR ALGEBRA

Reverse-order law for the Moore–Penrose inverses of tensors

(2018) Krushnachandra Panigrahy et al.   LINEAR & MULTILINEAR ALGEBRA

Outer and (b,c) inverses of tensors

(2018) Predrag S. Stanimirović et al.   LINEAR & MULTILINEAR ALGEBRA

Randomized algorithms for total least squares problems

(2018) Pengpeng Xie et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Stochastic R0 tensors to stochastic tensor complementarity problems

(2018) Maolin Che et al.   Optimization Letters

Weighted Moore-Penrose inverses and fundamental theorem of even-order tensors with Einstein product

(2017) Jun Ji et al.   Frontiers of Mathematics in China

Acute perturbation bounds of weighted Moore–Penrose inverse

(2017) Haifeng Ma   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Acute perturbation of the group inverse

(2017) Yimin Wei   LINEAR ALGEBRA AND ITS APPLICATIONS

Condition Numbers of the Multidimensional Total Least Squares Problem

(2017) Bing Zheng et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Multidimensional NMR inversion without Kronecker products: Multilinear inversion

(2016) David Medellín et al.   JOURNAL OF MAGNETIC RESONANCE

Solving Multi-linear Systems with $$\mathcal {M}$$ M -Tensors

(2016) Weiyang Ding et al.   JOURNAL OF SCIENTIFIC COMPUTING

Further results on generalized inverses of tensors via the Einstein product

(2016) Ratikanta Behera et al.   LINEAR & MULTILINEAR ALGEBRA

Bounds on the Spectral Norm and the Nuclear Norm of a Tensor Based on Tensor Partitions

(2016) Zhening Li   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Numeric tensor framework: Exploiting and extending Einstein notation

(2016) Adam P. Harrison et al.   Journal of Computational Science

Moore–Penrose inverse of tensors via Einstein product

(2015) Lizhu Sun et al.   LINEAR & MULTILINEAR ALGEBRA

Perturbation bounds of tensor eigenvalue and singular value problems with even order

(2015) Maolin Che et al.   LINEAR & MULTILINEAR ALGEBRA

The optimal perturbation bounds for the weighted Moore-Penrose inverse

(2015) Wei-Wei Xu et al.   Electronic Journal of Linear Algebra

The inverse, rank and product of tensors

(2014) Changjiang Bu et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Solving Multilinear Systems via Tensor Inversion

(2013) M. Brazell et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Backward error and perturbation bounds for high order Sylvester tensor equation

(2012) Xinghua Shi et al.   LINEAR & MULTILINEAR ALGEBRA

A note on stable perturbations of Moore-Penrose inverses

(2011) Zhao Li et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

On the perturbation bounds of g-inverses and oblique projections

(2010) Musheng Wei et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Additive and multiplicative perturbation bounds for the Moore-Penrose inverse

(2010) Li-xia Cai et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators

(2010) Qingxiang Xu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Generic and typical ranks of multi-way arrays

(2009) P. Comon et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

The optimal perturbation bounds of the Moore–Penrose inverse under the Frobenius norm

(2009) Lingsheng Meng et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

A note on the perturbation of an outer inverse

(2008) Naimin Zhang et al.   CALCOLO

Continuity properties of the {1}-inverse and perturbation bounds for the Drazin inverse

(2007) Xin-guo Liu et al.   LINEAR ALGEBRA AND ITS APPLICATIONS