Results 221 to 230 of about 3,388 (249)

On the Uniqueness of Solutions to Systems of Linear Algebraic Equations Resulting from the Reduction of Linear Inverse Problems of Gravimetry and Magnetometry: a Local Case

Computational Mathematics and Mathematical Physics, 2023
The paper considers issues of unique solvability of systems of linear algebraic equations to which many inverse problems of geophysics are reduced as a result of discretization. Examples of degenerate and nondegenerate systems of different dimensions arising from the interpretation of gravity and magnetometric data are given.
Kolotov, I. I., Lukyanenko, D. V., Stepanova, I. E., Yagola, A. G.   +3 more
openaire   +2 more sources

On the Uniqueness of Solution to Systems of Linear Algebraic Equations to Which the Inverse Problems of Gravimetry and Magnetometry Are Reduced: A Regional Variant

Журнал вычислительной математики и математической физики, 2023
Conditions for the unique solvability of systems of linear algebraic equations to which many inverse problems of gravitational and magnetic exploration are reduced are considered. The mathematical statements of inverse problems take into account the sphericity of the Earth.
Kolotov, I. I., Lukyanenko, D. V., Stepanova, I. E., Shchepetilov, A. V., Yagola, A. G.   +4 more
openaire   +1 more source

Solving the inverse kinematics problem symbolically by means of knowledge-based and linear algebra-based methods

2007 IEEE Conference on Emerging Technologies & Factory Automation (EFTA 2007), 2007
The construction of kinematics models by hand is often a tedious and error-prone process. This paper presents an overview of the Organic Robot Control project. One main goal of the project is to automate the computation of closed-formed solutions for both the forward and inverse kinematics of general industrial manipulators.
Wenz, Michael, Wörn, Heinz
openaire   +1 more source

ALGEBRAIC-DIFFERENTIAL TRANSFORMATIONS OF LINEAR DIFFERENTIAL OPERATORS OF ARBITRARY ORDER AND THEIR SPECTRAL PROPERTIES APPLICABLE TO THE INVERSE PROBLEM

Mathematics of the USSR-Sbornik, 1972
Results obtained by the author in Math. USSR Sb. 16 (1971), 408-428 are generalized to the case of a countable set of indices . This allows the author to find necessary and sufficient conditions for the existence of a system of boundary-value problems with simple spectrum, having a given set of eigenvalues and weight numbers.Bibliography: 10 items.
openaire   +2 more sources

ALGEBRAIC-DIFFERENTIAL TRANSFORMATIONS OF LINEAR DIFFERENTIAL OPERATORS OF ARBITRARY ORDER AND THEIR SPECTRAL PROPERTIES APPLICABLE TO THE INVERSE PROBLEM. I. THE CASE OF FINITE $ \mathfrak{N}$

Mathematics of the USSR-Sbornik, 1972
Linear differential operators of order from into , i.e. without boundary conditions, are discussed. With complex, let denote the linear space of all solutions of the homogeneous equation . We use die operator and certain of its spectral properties to obtain an operator analogous to .
openaire   +3 more sources

Data-driven Estimation of Algebraic Riccati Equation for Inverse Linear Quadratic Regulator Problem

2023 62nd Annual Conference of the Society of Instrument and Control Engineers (SICE), 2023
Shuhei Sugiura, Ryo Ariizumi, Masaya Tanemura, Toru Asai, Shun-ichi Azuma   +4 more
openaire   +1 more source

Application-Inspired Linear Algebra

Springer Undergraduate Texts in Mathematics and Technology, 2022
Heather A Moon, Thomas J Asaki, Marie A Snipes   +2 more
exaly  

Problems: Functions, Algebra of Functions, and Inverse Functions

2021
Rahmani-Andebili Mehdi
exaly  

Deep learning methods for solving linear inverse problems: Research directions and paradigms

Signal Processing, 2020
Yanna Bai, Wei Chen, Weisi Guo
exaly  

Inverse problems in linear algebra

1999
openaire   +1 more source