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Krylov solvability under perturbations of abstract inverse linear problems
When a solution to an abstract inverse linear problem on Hilbert space with the datum and with the linear operator of the problem, the solution is said to be a Krylov solution. Krylov solvability of the
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Isometric method: efficient tool for solving non-linear inverse problems
A novel algorithm called Isometric Method (IM) for solving smooth real-valued nonlinear inverse problems has been developed. Applications of IM on synthetic and real geophysical problems are presented....
DC - Seismologie, vulkanologie a struktura Země
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Description of All Solutions of a Linear Complementarity Problem
Description of all solutions of an nn linear complementarity problem $x^+=Mx^-+q$ in terms of $2^n$ matrices and their Moore-Penrose inverses is given. The result is applied to describe all solutions of the absolute value e...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on variational and metrizable connections
We treat the problem of metrizability of a linear connection in the context of the inverse problem of the calculus of variations....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on variational and metrizable connections
We treat the problem of metrizability of a linear connection in the context of the inverse problem of the calculus of variations....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Linearized forward and inverse problems of the resonant ultrasound spectroscopy for the evaluation of thin surface layers
In this paper, linearized approximations of both the forward and the inverse problems of resonant ultrasound spectroscopy for the determination of mechanical properties of thin surface layers are presented....
BI - Akustika a kmity
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
To certain inversde problem of optical diffraction
The inverse problem of optical diffraction arising by determination of thickness of ultra-thin planar layer is formulated and solved. The direct problem is described using matrix formalism, the inverse one is solve...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Properties of the systems of linear equations with interval coefficients
of the interval hull of the solution set is NP-hard problem. In the case of the inverse stable interval matrix this problem can be solved in polynomial time. In the paper the results on the sufficient condition of inve...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
LS-APC v1.0: a tuning-free method for the linear inverse problem and its application to source-term determination
Estimation of pollutant releases into the atmosphere is an important problem in the environmental sciences. It is typically formalized as an inverse problem using a linear this problem is typically ill-pos...
BB - Aplikovaná statistika, operační výzkum
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Learning from Data as an Inverse Problem
We reformulate the problem of minimization of an empirical error functional as a linear inverse problem by introducing an operator defined in terms of evaluations at the input data....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
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