A method is presented which constructs an n by n tridiagonM, symmetric, quadratic pencil which has its 2n eigcnvalucs and the 2n2 of its n1-dimensional leading principal subpencil prescribed. It isâ€¦ (More)

This paper describes how, given the Jacobi matrixJ for the measure dÏƒ(t), it is possible to produce the Jacobi matrix Ä´ for the measurer(t)dÏƒ(t) wherer(t) is a quotient of polynomials. The methodâ€¦ (More)

This paper generalizes the well-known identity which relates the last components of the eigenvectors of a symmetric matrix A to the eigenvalues of A and of the matrix Anâˆ’1, obtained by deleting theâ€¦ (More)

1. The exchanges of water between lactating female and young Mus musculus were modelled on the computer. 2. The model was used to estimate rates of milk production and water recycling in variousâ€¦ (More)

The nonsymmetric Lanczos algorithm reduces a general matrix to tridiagonal by generating two sequences of vectors which satisfy a mutual bi-orthogonality property. The process can proceed as long asâ€¦ (More)

We present FORTRAN subroutines that implement the method described in [3] for the stable evaluation of the weights of interpolatory quadratures with prescribed simple or multiple knots. Given a setâ€¦ (More)