نتایج جستجو برای: generalized invertible operator

تعداد نتایج: 258031  

Journal: :Comp. Opt. and Appl. 2009
Georg Stadler

Theorem 4.3 Let the initialization u0 be sufficiently close to the solution ū of P. Then the iterates uk of Algorithm 1 converge superlinearly to ū in L2(Ω). Moreover, the corresponding states yk converge superlinearly to ȳ in H1 0 (Ω). Proof To apply Theorem 4.1, it remains to show that the generalized derivative (4.7) is invertible and that the norms of the inverse linear mappings are bounded...

2008
Joseph A. Ball Vladimir Bolotnikov

We survey various increasingly more general operator-theoretic formulations of generalized left-tangential Nevanlinna-Pick interpolation for Schur multipliers on the Drury-Arveson space. An adaptation of the methods of Potapov and Dym leads to a chain-matrix linear-fractional parametrization for the set of all solutions for all but the last of the formulations for the case where the Pick operat...

Journal: :Proceedings of the American Mathematical Society 1965

Journal: :bulletin of the iranian mathematical society 2013
g. j. song

some necessary and sufficient conditions are given for the existence of a g-positive (g-repositive) solution to adjointable operator equations $ax=c,axa^{left( astright) }=c$ and $axb=c$ over hilbert $c^{ast}$-modules, respectively. moreover, the expressions of these general g-positive (g-repositive) solutions are also derived. some of the findings of this paper extend some known results in the...

2009
Tsuyoshi Ando Chi-Kwong Li

Let ρ ≥ 1 and w ρ (A) be the operator radius of a linear operator A. Suppose m is a positive integer. It is shown that for a given invertible linear operator A acting on a Hilbert space, one has w ρ (A −m) ≥ w ρ (A) −m. The equality holds if and only if A is a multiple of a unitary operator.

Journal: :Commentarii Mathematici Helvetici 2008

In this paper, we design some iterative schemes for solving operator equation $ Lu=f $, where $ L:Hrightarrow H $ is a bounded, invertible and self-adjoint operator on a separable Hilbert space $ H $. In this concern,  Richardson and Chebyshev iterative methods are two outstanding as well as long-standing ones. They can be implemented in different ways via different concepts.In this paper...

2006
J. M. Tang C. Vuik

Simulating bubbly flows is a very popular topic in CFD. These bubbly flows are governed by the Navier-Stokes equations. In many popular operator splitting formulations for these equations, solving the linear system coming from the discontinuous Poisson equation takes the most computational time, despite of its elliptic origins. Sometimes these singular linear systems are forced to be invertible...

1999
Karl Gustafson H. Schneider

The operator trigonometry of symmetric positive definite (SPD) matrices is extended to arbitrary invertible matrices A and to arbitrary invertible bounded operators A on a Hilbert space. Some background and motivation for these results is provided. © 2000 Elsevier Science Inc. All rights reserved.

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