We propose an improved tensor renormalization-group (TRG) algorithm, the bond-weighted TRG (BTRG). In BTRG, we generalize conventional by introducing bond weights on edges of network. show that BTRG outperforms and higher-order renormalization group with same dimension, whereas its computation time is almost as TRG. Furthermore, can have nontrivial fixed-point tensors at optimal hyperparameter....

We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.

in [1,2,3], a. c. baker and j.w. baker studied the subspace ma(s) of the convolution measure algebra m, (s) of a locally compact semigroup. h. dzinotyiweyi in [5,7] considers an analogous measure space on a large class of c-distinguished topological semigroups containing all completely regular topological semigroups. in this paper, we extend the definitions to study the weighted semigroup algeb...

Nonnegative rectangular matrices having nonnegative Unweighted group inverses are characterized. Our techniques suggest an interesting approach to extend the earlier known results on X-monotone square matrices to rectangular ones. We also answer a question of characterizing nonnegative matrices having a nonnegative solution Y where (1) A = AXA, (2) X = XAX, (3) (AX) is O-symmetric, (4) ( XA) is...

In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...