Criteria for Positive Definiteness of Some Band Matrices.
Crout versions of ILU factorization with pivoting for sparse symmetric matrices.
Curve reconstruction from a set of measured points
In this article, a method of cubic spline curve fitting to a set of points passing at a prescribed distance from input points obtained by measurement on a coordinate measuring machine is described. When reconstructing the shape of measured object from the points obtained by real measurements, it is always necessary to consider measurement uncertainty (tenths to tens of micrometres). This uncertainty is not zero, therefore interpolation methods, where the resulting curve passes through the given...
Decay bounds and algorithms for approximating functions of sparse matrices.
Decomposition of a Symmetric Matrix (Handbook Series Linear Algebra).
Decomposition of an updated correlation matrix via hyperbolic transformations
An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is the decomposition of an updated correlation matrix.
Decompositional analysis of Kronecker structured Markov chains.
Degeneration and complexity of bilinear maps: Some asymptotic spectra.
Derivation of BiCG from the conditions defining Lanczos' method for solving a system of linear equations
Lanczos’ method for solving the system of linear algebraic equations consists in constructing a sequence of vectors in such a way that and . This sequence of vectors can be computed by the BiCG (BiOMin) algorithm. In this paper is shown how to obtain the recurrences of BiCG (BiOMin) directly from this conditions.
Derivation of high-order spectral methods for time-dependent PDE using modified moments.
Determinant evaluations for binary circulant matrices
Determinant formulas for special binary circulant matrices are derived and a new open problem regarding the possible determinant values of these specific circulant matrices is stated. The ideas used for the proofs can be utilized to obtain more determinant formulas for other binary circulant matrices, too. The superiority of the proposed approach over the standard method for calculating the determinant of a general circulant matrix is demonstrated.
Determinants of Legendre symbol matrices
Determinants of multiplicative Toeplitz matrices
Determinatenabschätzung für binäre Matrizen mit n ... 3 mod 4.
Determination of matrices of the desired 2-D characteristic polynomial
Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung.
Differencial equations for the analytic singular value decomposition of a matrix.
Direct Error Analysis for Least Squares.
Direct iterative methods for linear systems using weak splittings
Direct methods for matrix Sylvester and Lyapunov equations.