In this paper,algorithms for determining the triangular factorization of Cauchy type matrices and their inverses are derived by using O( n^2) operations.
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
In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong r...In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong representation and also give a parametrization for all the simultaneous stabilizing controllers.展开更多
文摘In this paper,algorithms for determining the triangular factorization of Cauchy type matrices and their inverses are derived by using O( n^2) operations.
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.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1130104711271059)the Fundamental Research Funds for the Central Universities
文摘In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong representation and also give a parametrization for all the simultaneous stabilizing controllers.
