In this paper, the weakness of the traditional matrix division methods for giant matrix transpose is pointed; Specific to the nature of the giant matrixes’ transpose and based on the characteristics of asynchronous PRAM parallel computing model, some new division (such as booklet belt division, closed-loop division and Checkerboard-belt-shaped compound division) methods are proposed for improvi...

In this paper, the weakness of the traditional matrix division methods for giant matrix transpose is pointed; Specific to the nature of the giant matrixes’ transpose and based on the characteristics of asynchronous PRAM parallel computing model, some new division (such as booklet belt division, closed-loop division and Checkerboard-belt-shaped compound division) methods are proposed for improvi...

In this paper, we introduce projective inertial parallel subgradient extragradient-line algorithm for solving variational inequalites of L-Lipschitz continuous and monotone mappings which L is unknown. We prove a strong convergence result under some mild conditions in Hilbert space. also present numerical examples Euclidean space R3 compared with Parallel-Viscosity-Type Subgradient Extragradien...

Of 197 cases of canine oral malignant melanoma, 29 cases with myxoid, cartilage, and osteoid formation were studied pathologically and immunohistochemically. Tumor tissues were classified into spindle cell type (13 cases), epithelioid cell type (1 case), and mixed type (15 cases). Myxoid matrixes (29 tumors) were formed mainly in the tissues of spindle cell type and were positive for Alcian blu...

A new Self-Organizing Map is proposed for information parallel processing purpose. In this model, Parallel-SOM, there are two separate layers of neurons connected together. The number of neurons in both layer and connections between them is equal to the number of total elements of input signals. The weight updating is managed through a sequence of operations among some unitary transformation an...

A new Self-Organizing Map is proposed for information parallel processing purpose. In this model, Parallel-SOM, there are two separate layers of neurons connected together. The number of neurons in both layer and connections between them is equal to the number of total elements of input signals. The weight updating is managed through a sequence of operations among some unitary transformation an...

We proved two important identities of the rank of the product of matrixes by using block matrixes and system of solutions of reference of homogeneous linear equations and give some useful equalities and inequalities of rank of the product of the matrixes base on these identities. Mathematics Subject Classification: 15A24

The covering approximation space evolves in time due to the explosion of the information, and the characteristic matrixes of coverings viewed as an effective approach to approximating the concept should update with time for knowledge discovery. This paper further investigates the construction of characteristic matrixes without running the matrix acquisition algorithm repeatedly. First, we prese...

Distance or cost matrixes between groups of locations are of paramount importance when solving traveling salesman problems (TSP ) as well as other routing settings. Euclidean distances constitute a gross underestimation of reality. Furthermore, reality, especially in urban transportation, is highly asymmetric. This work studies the effect that asymmetry, geographical location and territory have...