By means of a special LU factorization of the Mina matrix with the n-th row and k-th column entry D_x^n （f^（ak）（x））, we obtain not only a short proof of the Mina determinant identity but also the inverse of the ...By means of a special LU factorization of the Mina matrix with the n-th row and k-th column entry D_x^n （f^（ak）（x））, we obtain not only a short proof of the Mina determinant identity but also the inverse of the Mina matrix. Finally, by use of some similar factorizations built on the Lagrange interpolation formula, two new determinant identities of Mina type are established.展开更多
The Calculation of area and volume of B-rep solid is discussed, and a numerical method is presented. The method is based on the integrand simplification of the double integral by quadratic triangular Bezier interpolat...The Calculation of area and volume of B-rep solid is discussed, and a numerical method is presented. The method is based on the integrand simplification of the double integral by quadratic triangular Bezier interpolation.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11401237)
文摘By means of a special LU factorization of the Mina matrix with the n-th row and k-th column entry D_x^n （f^（ak）（x））, we obtain not only a short proof of the Mina determinant identity but also the inverse of the Mina matrix. Finally, by use of some similar factorizations built on the Lagrange interpolation formula, two new determinant identities of Mina type are established.
文摘The Calculation of area and volume of B-rep solid is discussed, and a numerical method is presented. The method is based on the integrand simplification of the double integral by quadratic triangular Bezier interpolation.
