Results 51 to 60 of about 196,468 (204)

Some inequalities on the minimum H-eigenvalue for the Fan product and Hadamard product of tensors

Journal of Inequalities and Applications
For the Fan product and the Hadamard product of tensors, we derive several inequalities for the minimum H-eigenvalue of Z $\mathcal{Z}$ -tensors. Using these inequalities, we verify whether the Hadamard product of a nonnegative tensor and a Z $\mathcal{Z}
Hang Guo, Zeyu Xu, Chao Huang, Yue Wang
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector [PDF]

, 1982
Elsner L, Johnson CR, Neumann MM. On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. Czechoslovak Mathematical Journal.
Elsner, Ludwig F., Elsner, Ludwig, Neumann, M., Johnson, Charles R., Johnson, C. R., Neumann, Michael M.   +5 more
core   +1 more source

Low-rank nonnegative tensor approximation via alternating projections and sketching [PDF]

, 2023
We show how to construct nonnegative low-rank approximations of nonnegative tensors in Tucker and tensor train formats. We use alternating projections between the nonnegative orthant and the set of low-rank tensors, using STHOSVD and TTSVD algorithms ...
Sultonov, Azamat, Matveev, Sergey, Budzinskiy, Stanislav, Azamat Sultonov, Stanislav Budzinskiy, Sergey Matveev   +5 more
core   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Best Nonnegative Rank-One Approximations of Tensors [PDF]

SIAM Journal on Matrix Analysis and Applications, 2019
In this paper, we study the polynomial optimization problem of multi-forms over the intersection of the multi-spheres and the nonnegative orthants. This class of problems is NP-hard in general, and includes the problem of finding the best nonnegative rank-one approximation of a given tensor.
Shenglong Hu, Defeng Sun, Kim-Chuan Toh
openaire   +4 more sources

Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm

, 2019
Tensor decomposition is a powerful tool for analyzing multiway data. Nowadays, with the fast development of multisensor technology, more and more data appear in higherorder (order > 4) and nonnegative form.
Ristaniemi, Tapani, Tapani Ristaniemi, Deqing Wang, Cong, Fengyu, Wang, Deqing, Fengyu Cong   +5 more
core   +1 more source

Distributed Nonnegative Tensor Canonical Polyadic Decomposition With Automatic Rank Determination

, 2020
Nonnegative tensor canonical polyadic decomposition (CPD) has found wide-spread applications in various signal processing tasks. However, the implementation of most existing algorithms needs the knowledge of tensor rank, which is difficult to acquire. To
Cheng, L, Tong, X, Yik-Chung Wu, Wu, YC, Xueke Tong, Lei Cheng   +5 more
core   +1 more source

An upper bound for the Z-spectral radius of adjacency tensors

Journal of Inequalities and Applications, 2018
Let H $\mathcal{H}$ be a k-uniform hypergraph on n vertices with degree sequence Δ=d1≥⋯≥dn=δ $\Delta=d_{1} \geq\cdots\geq d_{n}=\delta$. In this paper, in terms of degree di $d_{i}$, we give a new upper bound for the Z-spectral radius of the adjacency ...
Zhi-Yong Wu, Jun He, Yan-Min Liu, Jun-Kang Tian   +3 more
doaj   +1 more source

Markov‐Associated Quadratic Stochastic Families and the Susceptible‐Infected‐Recovered (SIR) Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We introduce a Markov‐associated construction for quadratic stochastic families generated by a symmetric cubic stochastic matrix and a finite‐state homogeneous Markov semigroup. The constructed family is not assumed to be a classical quadratic stochastic process of type (A)$$ (A) $$ or type (B)$$ (B) $$; rather, it is a Markov‐associated ...
Taimun Qaisar, Farrukh Mukhamedov, Youssef El‐Khatib, Mahmoud Alhaj Hasan   +3 more
wiley   +1 more source