For variation-aware capacitance extraction, stochastic collocation method (SCM) based on Homogeneous Chaos expansion has the exponential convergence rate for Gaussian geometric variations, and is considered as the optimal solution using a quadratic model to model the parasitic capacitances. However, when geometric variations are measured from the real test chip, they are not necessarily Gaussia...

This paper gives a widely applicable technique for solving many of the parameter estimation problems encountered in geometric computer vision. A commonly used approach in such parameter minimization is to minimize an algebraic error function instead of a possibly preferable geometric error function. It is claimed in this paper, however, that minimizing algebraic error will usually give excellen...

Floating point expansion is a technique for implementing multiple precision using a processor's oating point unit instead of its integer unit. Research on this subject has arised recently from the observation that the oating point unit becomes a more and more eÆcient part of modern computers. Many simple arithmetic operators and some very useful geometric operators have already been presented o...

This paper gives a widely applicable technique for solving many of the parameter estimation problems encountered in geometric computer vision. A commonly used approach is to minimize an algebraic error function instead of a possibly preferable geometric error function. It is claimed in this paper that minimizing algebraic error will usually give excellent results, and in fact the main problem w...

Today’s hardware platforms have parallel processing capabilities and many programming models been developed. It is necessary to research an efficient implementation of compute-intensive applications using available platforms. Dense matrix-matrix multiplication important kernel that used in applications, while it computationally intensive, especially for large matrix sizes. To improve the perfor...

the computational method based on using the operational matrix of anorthogonal function for solving variational problems is computeroriented. in this approach, a truncated hartley series together withthe operational matrix of integration and integration of the crossproduct of two cas vectors are used for finding the solution ofvariational problems. two illustrative examples are included todemon...

In a previous paper [J. Combin. Theory Ser. A, 2019], the author constructed geometric crystal on variety Xk:=Gr(k,n)×C× which tropicalizes to affine structure rectangular tableaux with n−k rows. this sequel, we define and study R-matrix, birational map R:Xk1×Xk2→Xk2×Xk1 combinatorial R-matrix pairs of tableaux. We show that R is an isomorphism crystals, it satisfies Yang–Baxter relation. case ...