Backward Error Analysis for Totally Positive Linear Systems.
Backward perturbation analysis of certian characteristic subspaces.
Banded matrices and discrete Sturm-Liouville eigenvalue problems.
Base tensorielle des matrices de Hankel (ou de Toeplitz) Applications.
Basic comparison theorems for weak and weaker matrix splittings.
Behavior of plane relaxation methods as multigrid smoothers.
Beitrag zu mehrparametrigen Iterationsverfahren
In der Arbeit wird ein gewisses von drei Parametern abhängiges Iterationsverfahren für ein lineares algebraisches Gleichungssystem von der Form mit schwach 2-zyklischer Blockmatrix untersucht. Es werden verschiedene Varianten dieses Verfahrens studiert. Die Konvergenzgeschwindigkeit wird mit der Konvergenzgeschwindigkeit üblicher Iterationsverfahren verglichen.
Beitrag zu mehrparametrigen Iterationsverfahren für spezielle lineare Gleichungssysteme
Die Arbeit befasst sich mit der Anwendung eines gewissen mehrparametrigen Iterationsverfahrens bei der Lösung des linearen Gleichungsystems der Form , wo eine gewisse, eine grosse Anzahl von Nullelementen enthaltende. Matrix bezeichnet und irgendeine von der Hauptuntermatrizen der Matrix leicht invertierbar ist. Das, in der Arbeit vorgeschlagende Iterationsverfahren stellt eine Kombination des iterativen und direkten Verfahrens dar.
Bemerkungen zur Optimierung eines gewissen Iterationsverfahrens
Bemerkungen zur Optimierung eines zweiparametrigen Iterationsverfahrens
Benchmarking aggregation AMG for linear systems in CFD simulations of compressible internal flows.
Berkowitz's algorithm and clow sequences.
BiCGstab() for linear equations involving unsymmetric matrices with complex spectrum.
Biochemical network of drug-induced enzyme production: Parameter estimation based on the periodic dosing response measurement
The well-known bottleneck of systems pharmacology, i. e., systems biology applied to pharmacology, refers to the model parameters determination from experimentally measured datasets. This paper represents the development of our earlier studies devoted to inverse (ill-posed) problems of model parameters identification. The key feature of this research is the introduction of control (or periodic forcing by an input signal being a drug intake) of the nonlinear model of drug-induced enzyme production...
Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
Block approximate inverse preconditioners for sparse nonsymmetric linear systems.
Block Factorization of Hankel Matrices and Euclidean Algorithm
It is shown that a real Hankel matrix admits an approximate block diagonalization in which the successive transformation matrices are upper triangular Toeplitz matrices. The structure of this factorization was first fully discussed in [1]. This approach is extended to obtain the quotients and the remainders appearing in the Euclidean algorithm applied to two polynomials u(x) and v(x) of degree n and m, respectively, whith m < ...
Block iterative methods for equality constrained least squares problems
Block matrix approximation via entropy loss function
The aim of the paper is to present a procedure for the approximation of a symmetric positive definite matrix by symmetric block partitioned matrices with structured off-diagonal blocks. The entropy loss function is chosen as approximation criterion. This procedure is applied in a simulation study of the statistical problem of covariance structure identification.
Block triangular preconditioners for -matrices and Markov chains.