In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the determinant of an opposi...In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the determinant of an opposite-bordered tridiagonal matrix is investigated. Some illustrative examples are given.展开更多
This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm fo...This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm for doubly bordered tridiagonal matrix is also considered based on the Sherman-Morrison-Woodbury formula. The algorithms are implemented using the computer algebra system, MAPLE. Some illustrative examples are given.展开更多
In China with the implement of the strategy of overall opening up to the outside world,northeast China has basically formed an open pattern with simultineous development of border opening and coast opening. As a natio...In China with the implement of the strategy of overall opening up to the outside world,northeast China has basically formed an open pattern with simultineous development of border opening and coast opening. As a national window to open up to the outside world, an open port system in northeast region has formed. These ports can be classified from different angles, such as management level, transport mode, location. From management level, they can be classified into the state firstclass ports and the second-class ports. According to transpost mode, they can be divided into railway port, highway port, water transport port, air transport port and special mode port, and based on location, they can be divided into border port, coast port and inland port. The oaper introduces in detail the foreign trade connection of 4 most representative state first-class border ports: Hunchun, Suifenhe, Heihe and Manzhouli. The open ports Of northeast coast regin mean mainly coast water transport ports in Liaodong Peninsula. The foreign trade connection of coast open ports: Dandong, Jinzhou,Yingkou and Dalian is expounded. And the paper also analyses the transport connection of ports of northeast region with their hinterlands.展开更多
文摘In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the determinant of an opposite-bordered tridiagonal matrix is investigated. Some illustrative examples are given.
文摘This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm for doubly bordered tridiagonal matrix is also considered based on the Sherman-Morrison-Woodbury formula. The algorithms are implemented using the computer algebra system, MAPLE. Some illustrative examples are given.
文摘In China with the implement of the strategy of overall opening up to the outside world,northeast China has basically formed an open pattern with simultineous development of border opening and coast opening. As a national window to open up to the outside world, an open port system in northeast region has formed. These ports can be classified from different angles, such as management level, transport mode, location. From management level, they can be classified into the state firstclass ports and the second-class ports. According to transpost mode, they can be divided into railway port, highway port, water transport port, air transport port and special mode port, and based on location, they can be divided into border port, coast port and inland port. The oaper introduces in detail the foreign trade connection of 4 most representative state first-class border ports: Hunchun, Suifenhe, Heihe and Manzhouli. The open ports Of northeast coast regin mean mainly coast water transport ports in Liaodong Peninsula. The foreign trade connection of coast open ports: Dandong, Jinzhou,Yingkou and Dalian is expounded. And the paper also analyses the transport connection of ports of northeast region with their hinterlands.