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In this paper, the inverse and determinant of a special kind of centrosymmetric matrices are investigated. Based on the partition property of a matrix with centrosymmetric structure and algorithms for the inverse and determinant proposed in Chen and Yu (2011), a computation algorithm for the inverse and determinant of a centrosymmetric matrix is finally developed. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we discuss the convergence of the double-shift and multi-shift QR algorithms for symmetric tridiagonal matrices. We analyze how to choose multi-shifts by comparing the relationships between the number of iterations, CPU time and the number of multi-shifts. Numerical tests and figures are performed. [Copyright &y& Elsevier]

Abstract: In this paper, a new recursive symbolic computational Hessenberg matrix algorithm is presented to compute the inverse and the determinant of a Hessenberg matrix. [Copyright &y& Elsevier]

Abstract: In this paper we intend to modify “min restarting method” presented in [H. Saberi Najafi, E. Khaleghi, A new restarting method in the Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix, Appl. Math. 156 (2004) 59–71] and develop a new algorithm for finding the eigenvalues of a nonsymmetric matrix on the basis of Arnoldi algorithm. In most of the restarting methods the basic idea is the selection of the best initial eigenvector, but our aim is to improve the initial eigenvectors in each iteration of the restarting method. Numerical tests show the algorithm converges rapidly with high accuracy. [Copyright &y& Elsevier]

In this paper, we present another version of cubic spline method for numerically solving singular two-point boundary value problems for certain ordinary differential equation having singular coefficients. To remove the singularity, we first use series solution in the vicinity of the singular point and the boundary condition at a point x=δ (in the vicinity of the singularity) is derived. The resulting regular BVP is then efficiently treated by employing cubic spline for finding the numerical solution. Some examples have been included and comparison of the numerical results made with other methods. [Copyright &y& Elsevier]