Results 241 to 250 of about 16,348 (266)

Global Geometric Aspects of Linear Conjugation Problems

Journal of Mathematical Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A BOUNDARY VALUE PROBLEM OF LINEAR CONJUGATION IN THE THEORY OF FUNCTIONS

Mathematics of the USSR-Izvestiya, 1980
The matrix case of a boundary value problem of linear conjugation in the theory of analytic functions, for arbitrary piecewise smooth curves, is treated, as is the corresponding adjoint problem. For these problems Noetherian theorems are proved, a family of canonical functions is constructed, and the behavior of these solutions at corner points of the ...
openaire   +2 more sources

Conjugate Problems for Linear Systems with Right Invertible Operator

Mathematische Nachrichten, 1983
The paper is devoted to the study of abstract control systems of the form \((1)\quad Dx=Ax+Bu\) with the initial condition \((2)\quad Fx=x_ 0,\quad x_ 0\in \ker D,\) where A, B, D, F are given linear operators in linear (or Banach) spaces, D is right invertible with right inverse R, and F is an initial operator for D corresponding to R [see the author,
openaire   +1 more source

Conjugate Intervals for the Linear Fixed-Endpoint Control Problem

Journal of Optimization Theory and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

To the problem of irreducible conjugately dense subgroups of linear groups

Doklady Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems

SIAM Journal on Matrix Analysis and Applications, 1998
A thorough study of two different implementations of the conjugate gradient and the Lanczos methods is presented, in order to find numerical solutions to linear least squares problems. Although these implementations are mathematically equivalent, their computational, and most important, numerical properties are quite different.
Åke Björck, Tommy Elfving, Zdenek Strakos   +2 more
openaire   +2 more sources

Bojarski’s Theorem. General Linear Conjugation Problems

1993
We recover the index of a Dirac operator A over a closed partitioned manifold M =X + ∪ X − with ∂X + = ∂X − = X + ∩ X − = Y from the Fredholm pair of Cauchy data spaces along Y. Similarly, the index of the linear conjugation (or transmission) problem As ± = 0 in X±\Y and s −|y = Φ (s + |y) is given by twisting the Cauchy data spaces with Φ.
Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski   +1 more
openaire   +1 more source

The Problem of Linear Conjugation on a Closed Riemann Surface

Complex Analysis and Operator Theory, 2008
In this paper, we present a general solution of the scalar Riemann problem on a closed Riemann surface in the case of a compound contour in the class of piecewise meromorphic functions multiple of a given divisor. All the results are known and belong to the author (15-17), except for the existence theorems and properties of basic functionals and also ...
openaire   +1 more source

Asymptotic properties of solutions of a linear-conjugation boundary-value problem

Theoretical and Mathematical Physics, 1990
Summary: We consider a linear conjugation boundary value problem and give a sufficient condition for it to have solutions with asymptotic behavior of the form \(1+O (1/z)\) at infinity. In the case when the coefficient of the problem is a characteristic matrix, we construct such solutions in explicit form.
openaire   +2 more sources

Asymptotics of solutions of the linear conjugation problem at the corner points of the curve

Differential Equations, 2016
We consider the classical linear conjugation problem for analytic functions on a piecewise smooth curve in the entire scale of weighted Holder spaces. We derive a closed-form power-logarithmic asymptotics of the solution of this problem at the corner points of the curve under the assumption that the right-hand side of the problem admits a similar ...
G. N. Aver’yanov, A. P. Soldatov
openaire   +1 more source