Dual core generalized inverse of third-order dual tensor based on the T-product

Dual group inverses of dual matrices and their applications in solving systems of linear dual equations

(2022) Jin Zhong et al.   AIMS Mathematics

Smoothed aggregation for difficult stretched mesh and coefficient variation problems

(2022) Jonathan J. Hu et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Perturbations of the Tcur Decomposition for Tensor Valued Data in the Tucker Format

(2022) Maolin Che et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

An Efficient Algorithm for Computing the Approximate t-URV and its Applications

(2022) Maolin Che et al.   JOURNAL OF SCIENTIFIC COMPUTING

Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product

(2022) Zhanlei Cong et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations

(2022) Chen Ling et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Generalizations of singular value decomposition to dual-numbered matrices

(2021) Ran Gutin   LINEAR & MULTILINEAR ALGEBRA

Computation of generalized inverses of tensors via t ‐product

(2021) Ratikanta Behera et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Tensor neural network models for tensor singular value decompositions

(2020) Xuezhong Wang et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Generalized tensor function via the tensor singular value decomposition based on the T-product

(2020) Yun Miao et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Do all dual matrices have dual Moore–Penrose generalized inverses ?

(2020) Firdaus E. Udwadia et al.   MECHANISM AND MACHINE THEORY

Tensor extrapolation methods with applications

(2020) F. P. A. Beik et al.   NUMERICAL ALGORITHMS

Characterizations and properties of the MPDGI and DMPGI

(2020) Hongxing Wang   MECHANISM AND MACHINE THEORY

Neural networks based approach solving multi-linear systems with M-tensors

(2019) Xuezhong Wang et al.   NEUROCOMPUTING

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

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

Tensor Factorization for Low-Rank Tensor Completion

(2018) Pan Zhou et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

The Moore-Penrose Dual Generalized Inverse Matrix with Application to Kinematic Synthesis of Spatial Linkages

(2018) Ettore Pennestri et al.   JOURNAL OF MECHANICAL DESIGN

On generalized inverses of dual matrices

(2018) Domenico de Falco et al.   MECHANISM AND MACHINE THEORY

Stochastic R0 tensors to stochastic tensor complementarity problems

(2018) Maolin Che et al.   Optimization Letters

Operator norm inequalities between tensor unfoldings on the partition lattice

(2017) Miaoyan Wang et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Brauer-type eigenvalue inclusion sets and the spectral radius of tensors

(2017) Changjiang Bu et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Neural networks for computing best rank-one approximations of tensors and its applications

(2017) Maolin Che et al.   NEUROCOMPUTING

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

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

Moore–Penrose inverse of tensors via Einstein product

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

Tensor–tensor products with invertible linear transforms

(2015) Eric Kernfeld et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

A Hitchhiker’s Guide to Automatic Differentiation

(2015) Philipp H. W. Hoffmann   NUMERICAL ALGORITHMS

Fast Hankel tensor-vector product and its application to exponential data fitting

(2015) Weiyang Ding et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Generalized Tensor Eigenvalue Problems

(2015) Weiyang Ding et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Facial Recognition Using Tensor-Tensor Decompositions

(2013) Ning Hao et al.   SIAM Journal on Imaging Sciences

Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging

(2013) Misha E. Kilmer et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Factorization strategies for third-order tensors

(2010) Misha E. Kilmer et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Core inverse of matrices

(2009) Oskar Maria Baksalary et al.   LINEAR & MULTILINEAR ALGEBRA

Convergence and quotient convergence of iterative methods for solving singular linear equations with index one

(2008) Lijing Lin et al.   LINEAR ALGEBRA AND ITS APPLICATIONS