Relevant bibliographies by topics / Inverse solution

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Inverse solution'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 January 2023

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Journal articles on the topic "Inverse solution"

1

Constales, D., and J. Kačur. "On the solution of some inverse problems in infiltration." Mathematica Bohemica 126, no. 2 (2001): 307–22. http://dx.doi.org/10.21136/mb.2001.134025.

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Nikuie, M., and M. Z. Ahmad. "Minimal Solution of Singular LR Fuzzy Linear Systems." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/517218.

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In this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems. The capability of the generalized inverses such as Drazin inverse, pseudoinverse, and {1}-inverse in finding minimal solution of singular consistent LR fuzzy linear systems is investigated.
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Zhou, Mengmeng, Jianlong Chen, and Néstor Thome. "The W-weighted Drazin-star matrix and its dual." Electronic Journal of Linear Algebra 37, no. 37 (February 3, 2021): 72–87. http://dx.doi.org/10.13001/ela.2021.5389.

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After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and Drazin inverse, currently, we found immersed in a new generation of generalized inverses (core inverse, DMP inverse, etc.). The main aim of this paper is to introduce and investigate a matrix related to these new generalized inverses defined for rectangular matrices. We apply our results to the solution of linear systems.
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Chrastina, Jan. "Solution of the inverse problem of the calculus of variations." Mathematica Bohemica 119, no. 2 (1994): 157–201. http://dx.doi.org/10.21136/mb.1994.126079.

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DEIS, TIMOTHY, JOHN MEAKIN, and G. SÉNIZERGUES. "EQUATIONS IN FREE INVERSE MONOIDS." International Journal of Algebra and Computation 17, no. 04 (June 2007): 761–95. http://dx.doi.org/10.1142/s0218196707003755.

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It is known that the problem of determining consistency of a finite system of equations in a free group or a free monoid is decidable, but the corresponding problem for systems of equations in a free inverse monoid of rank at least two is undecidable. Any solution to a system of equations in a free inverse monoid induces a solution to the corresponding system of equations in the associated free group in an obvious way, but solutions to systems of equations in free groups do not necessarily lift to solutions in free inverse monoids. In this paper, we show that the problem of determining whether a solution to a finite system of equations in a free group can be extended to a solution of the corresponding system in the associated free inverse monoid is decidable. We are able to use this to solve the consistency problem for certain classes of single-variable equations in free inverse monoids.
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Wu, Yan, Li Hui Cheng, Guo Feng Fan, and Cai Dong Wang. "Inverse Kinematics Solution and Optimization of 6DOF Handling Robot." Applied Mechanics and Materials 635-637 (September 2014): 1355–59. http://dx.doi.org/10.4028/www.scientific.net/amm.635-637.1355.

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The kinematics equation of the handling robot with six free degrees has multiple sets inverse solution, and the robot system only can choose one optimized solutions to drive the robot to work. The kinematics model of the robot is established by D-H method, and the inverse solution is derived by an algebraic method. The best flexibility principle was introduced to determine a set of optimal solutions from 8 sets of feasible solutions. The correctness of robot inverse solution method is verified through a set of calculation examples.
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Erem, Burak, Alireza Ghodrati, Gilead Tadmor, Robert MacLeod, and Dana Brooks. "Combining initialization and solution inverse methods for inverse electrocardiography." Journal of Electrocardiology 44, no. 2 (March 2011): e21. http://dx.doi.org/10.1016/j.jelectrocard.2010.12.059.

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Zhong, Jin, and Yilin Zhang. "Dual group inverses of dual matrices and their applications in solving systems of linear dual equations." AIMS Mathematics 7, no. 5 (2022): 7606–24. http://dx.doi.org/10.3934/math.2022427.

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<abstract><p>In this paper, we study a kind of dual generalized inverses of dual matrices, which is called the dual group inverse. Some necessary and sufficient conditions for a dual matrix to have the dual group inverse are given. If one of these conditions is satisfied, then compact formulas and efficient methods for the computation of the dual group inverse are given. Moreover, the results of the dual group inverse are applied to solve systems of linear dual equations. The dual group-inverse solution of systems of linear dual equations is introduced. The dual analog of the real least-squares solution and minimal $ P $-norm least-squares solution are obtained. Some numerical examples are provided to illustrate the results obtained.</p></abstract>
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Sugihara, Tomomichi. "Numerical Solution of Inverse Kinematics." Journal of the Robotics Society of Japan 34, no. 3 (2016): 167–73. http://dx.doi.org/10.7210/jrsj.34.167.

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Hald, O. H., and J. R. McLaughlin. "Solution of inverse nodal problems." Inverse Problems 5, no. 3 (June 1, 1989): 307–47. http://dx.doi.org/10.1088/0266-5611/5/3/008.

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Dissertations / Theses on the topic "Inverse solution"

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Marroquin, J. L. (Jose Luis). "Probabilistic solution of inverse problems." Thesis, Massachusetts Institute of Technology, 1985. http://hdl.handle.net/1721.1/15286.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1985.
MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.
Bibliography: p. 195-200.
by Jose Luis Marroquin.
Ph.D.
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Leathers, Robert A. "Inverse solution methods for optical oceanography /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/7066.

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Anagurthi, Kumar. "Analytical solution for inverse heat conduction problem." Ohio : Ohio University, 1999. http://www.ohiolink.edu/etd/view.cgi?ohiou1176227397.

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Hebber, Eldad. "Numerical strategies for the solution of inverse problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0033/NQ27160.pdf.

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Hussain, Muhammad Anwar. "Numerical Solution of a Nonlinear Inverse Heat Conduction Problem." Thesis, Linköping University, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-57486.

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 The inverse heat conduction problem also frequently referred as the sideways heat equation, in short SHE, is considered as a mathematical model for a real application, where it is desirable for someone to determine the temperature on the surface of a body. Since the surface itself is inaccessible for measurements, one is restricted to use temperature data from the interior measurements. From a  mathematical point of view, the entire situation leads to a non-characteristic Cauchy problem, where by using recorded temperature one can solve a well-posed nonlinear problem in the finite region for computing heat flux, and consequently obtain the Cauchy data [u, ux]. Further by using these data and by performing an appropriate method, e.g. a space marching method, one can eventually achieve the desired temperature at x = 0.

The problem is severely ill-posed in the sense that the solution does not depend continuously on the data. The problem solved by two different methods, and for both cases we stabilize the computations by replacing the time derivative in the heat equation by a bounded operator. The first one, a spectral method based on finite Fourier space is illustrated to supply an analytical approach for approximating the time derivative. In order to get a better accuracy in the numerical computation, we use cubic spline function for approximating the time derivative in the least squares sense.

The inverse problem we want to solve, by using Cauchy data, is a nonlinear heat conduction problem in one space dimension. Since the temperature data u = g(t) is recorded, e.g. by a thermocouple, it usually contains some perturbation in the data. Thus the solution can be severely ill-posed if the Cauchy data become very noisy. Two experiments are presented to test the proposed approach.

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Chan, Stephen K. C. "An iterative general inverse kinematics solution with variable damping." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/26684.

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Currently, there is much interest in the field of robotics in researching methods of obtaining inverse kinematics solutions for arbitrary manipulators. Simple closed-form inverse kinematics equations can be obtained for a few joint configurations using geometric methods. However, there exist many manipulators which were not originally designed for kinematic control which do not have simple closed-form inverse kinematics equations. An efficient and stable iterative method is investigated in this thesis which solves the general inverse kinematics problem without detailed analysis of the manipulator's structure. The proposed iterative inverse kinematics algorithm combines a calibration procedure to estimate the manipulator's Denavit-Hartenberg parameters with an iterative method using the Jacobian and damped joint corrections. The kinematics control algorithm parameters are selected with a computer graphics simulation of the manipulator. The proposed inverse kinematics algorithm is tested with a simulation of an industrial manipulator arm which does not have a closed-form solution, RSI Robotic Systems International's Kodiak arm, and exhibits stability in all regions of operation and fast convergence over most regions of operation.
Applied Science, Faculty of
Electrical and Computer Engineering, Department of
Graduate
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Aydin, Umit. "Solution Of Inverse Problem Of Electrocardiography Using State Space Models." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12611027/index.pdf.

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Heart is a vital organ that pumps blood to whole body. Synchronous contraction of the heart muscles assures that the required blood flow is supplied to organs. But sometimes the synchrony between those muscles is distorted, which results in reduced cardiac output that might lead to severe diseases, and even death. The most common of heart diseases are myocardial infarction and arrhythmias. The contraction of heart muscles is controlled by the electrical activity of the heart, therefore determination of that electrical activity could give us the information regarding the severeness and type of the disease. In order to diagnose heart diseases, classical 12 lead electrocardiogram (ECG) is the standard clinical tool. Although many cardiac diseases could be diagnosed with the 12 lead ECG, measurements from sparse electrode locations limit the interpretations. The main objective of this thesis is to determine the cardiac electrical activity from dense body surface measurements. This problem is called the inverse problem of electrocardiography. The high resolution maps of epicardial potentials could supply the physician the information that could not be obtained with any other method. But the calculation of those epicardial potentials are not easy
the problem is severely ill-posed due to the discretization and attenuation within the thorax. To overcome this ill-posedness, the solution should be constrained using prior information on the epicardial potential distributions. In this thesis, spatial and spatio-temporal Bayesian maximum a posteriori estimation (MAP), Tikhonov regularization and Kalman filter and Kalman smoother approaches are used to overcome the ill-posedness that is associated with the inverse problem of ECG. As part of the Kalman filter approach, the state transition matrix (STM) that determines the evolution of epicardial potentials over time is also estimated, both from the true epicardial potentials and previous estimates of the epicardial potentials. An activation time based approach was developed to overcome the computational complexity of the STM estimation problem. Another objective of this thesis is to study the effects of geometric errors to the solutions, and modify the inverse solution algorithms to minimize these effects. Geometric errors are simulated by changing the size and the location of the heart in the mathematical torso model. These errors are modeled as additive Gaussian noise in the inverse problem formulation. Residual-based and expectation maximization methods are implemented to estimate the measurement and process noise variances, as well as the geometric noise.
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Bircan, Ali. "Solution Of Inverse Electrocardiography Problem Using Minimum Relative Entropy Method." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612574/index.pdf.

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The interpretation of heart'
s electrical activity is very important in clinical medicine since contraction of cardiac muscles is initiated by the electrical activity of the heart. The electrocardiogram (ECG) is a diagnostic tool that measures and records the electrical activity of the heart. The conventional 12 lead ECG is a clinical tool that provides information about the heart status. However, it has limited information about functionality of heart due to limited number of recordings. A better alternative approach for understanding cardiac electrical activity is the incorporation of body surface potential measurements with torso geometry and the estimation of the equivalent cardiac sources. The problem of the estimating the cardiac sources from the torso potentials and the body geometry is called the inverse problem of electrocardiography. The aim of this thesis is reconstructing accurate high resolution maps of epicardial potential representing the electrical activity of the heart from the body surface measurements. However, accurate estimation of the epicardial potentials is not an easy problem due to ill-posed nature of the inverse problem. In this thesis, the linear inverse ECG problem is solved using different optimization techniques such as Conic Quadratic Programming, multiple constrained convex optimization, Linearly Constrained Tikhonov Regularization and Minimum Relative Entropy (MRE) method. The prior information used in MRE method is the lower and upper bounds of epicardial potentials and a prior expected value of epicardial potentials. The results are compared with Tikhonov Regularization and with the true potentials.
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Yi, Hak-Chae J. "Solution of time-independent inverse problems for linear transport theory /." Thesis, Connect to this title online; UW restricted, 1990. http://hdl.handle.net/1773/10677.

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English, Gary E. "Sensitivity of the tomographic inverse solution to acoustic path variability." Thesis, Monterey, California. Naval Postgraduate School, 1992. http://hdl.handle.net/10945/26758.

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As part of the Greenland Sea Project Woods Hole Oceanographic Institution and Scripps Institute of Oceanography deployed six acoustic tomography transceiver moorings to measure variability of the Greenland Sea gyre through a cooling cycle from September 1988 to August 1989. Using a set of Greenland Sea acoustic tomography data provided by Woods Hole Oceanographic Institution this thesis investigated the importance of incorporating acoustic path changes in the construction of the tomographic inverse solution. A comparison of the inverse solutions for changes in sound speed using non-corrected and corrected acoustic multipaths was conducted. Although the two inverse solutions are qualitatively similar, significant quantitative differences exist. These differences indicate that it is necessary to account for changes in the acoustic multipaths for the generation of accurate Greenland Sea acoustic tomography maps. Acoustic Tomograph, Multipath Variability
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Books on the topic "Inverse solution"

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Stable solution of inverse problems. Braunschweig: F. Vieweg, 1986.

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Baumeister, Johann. Stable Solution of Inverse Problems. Wiesbaden: Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-322-83967-1.

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undifferentiated, David Colton. Surveys on Solution Methods for Inverse Problems. Vienna: Springer Vienna, 2000.

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Camps Echevarría, Lídice, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, and Antônio José da Silva Neto. Fault Diagnosis Inverse Problems: Solution with Metaheuristics. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-89978-7.

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Colton, David, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, and William Rundell, eds. Surveys on Solution Methods for Inverse Problems. Vienna: Springer Vienna, 2000. http://dx.doi.org/10.1007/978-3-7091-6296-5.

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Bakushinsky, A. B., and M. Yu Kokurin. Iterative Methods for Approximate Solution of Inverse Problems. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-3122-9.

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Yu, Kokurin M., ed. Iterative methods for approximate solution of inverse problems. Dordrecht: Springer, 2004.

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English, Gary E. Sensitivity of the tomographic inverse solution to acoustic path variability. Monterey, Calif: Naval Postgraduate School, 1992.

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The mollification method and the numerical solution of ill-posed problems. New York: Wiley, 1993.

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Frank, Schneider. Inverse problems in satellite geodesy and their approximate solution by splines and wavelets. Aachen: Shaker, 1997.

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Book chapters on the topic "Inverse solution"

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Newton, Roger G. "Faddeev’s Solution." In Inverse Schrödinger Scattering in Three Dimensions, 118–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83671-8_7.

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Newton, Roger G. "The Regular Solution." In Inverse Schrödinger Scattering in Three Dimensions, 90–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83671-8_4.

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Chew, C. H., and L. M. Gan. "Polymerization of Styrene in an Inverse Microemulsion." In Surfactants in Solution, 243–51. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4615-7990-8_17.

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Seidman, Thomas I. "The Method of ‘Generalized Interpolation’ for Approximate Solution of Ill-Posed Problems." In Inverse Problems, 155–61. Basel: Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-7014-6_12.

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Gol’dman, N. L. "Algorithms for the Numerical Solution of Inverse Stefan Problems." In Inverse Stefan Problems, 117–72. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5488-8_5.

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Stark, P. B. "Inverse Problems as Statistics." In Surveys on Solution Methods for Inverse Problems, 253–75. Vienna: Springer Vienna, 2000. http://dx.doi.org/10.1007/978-3-7091-6296-5_13.

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Korb, W., W. Schlegel, J. P. Schlöder, and H. G. Bock. "Algebraic Solution of Inverse Kinematics Revisited." In Advances in Robot Kinematics, 281–90. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-0657-5_30.

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Uhlmann, Gunther. "Inverse Scattering in Anisotropic Media." In Surveys on Solution Methods for Inverse Problems, 235–51. Vienna: Springer Vienna, 2000. http://dx.doi.org/10.1007/978-3-7091-6296-5_12.

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Koshev, Nikolay. "On the Solution of Forward and Inverse Problems of Voltammetry." In Inverse Problems and Applications, 153–64. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12499-5_11.

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Sun, Ne-Zheng. "Indirect Methods for the Solution of Inverse Problems." In Inverse Problems in Groundwater Modeling, 53–88. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-1970-4_4.

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Conference papers on the topic "Inverse solution"

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Portniaguine, Oleg, and Michael S. Zhdanov. "Compression in inverse problem solution." In SEG Technical Program Expanded Abstracts 1999. Society of Exploration Geophysicists, 1999. http://dx.doi.org/10.1190/1.1821024.

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Zabashta, Lubov A., and Oleg I. Zabashta. "Inverse problem solution in ellipsometry." In International Conference on Optical Diagnostics of Materials and Devices for Opto-, Micro-, and Quantum Electronics, edited by Sergey V. Svechnikov and Mikhail Y. Valakh. SPIE, 1995. http://dx.doi.org/10.1117/12.226157.

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Joachimowicz, N., and C. Pichot. "Inverse scattering solution for inhomogeneous bodies." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221521.

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Eibert, Thomas F. "Solution of large inverse sources problems." In 2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES). IEEE, 2016. http://dx.doi.org/10.1109/ropaces.2016.7465316.

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KNUTESON, BRUCE. "SOLUTION TO THE LHC INVERSE PROBLEM." In Proceedings of the 14th International Workshop. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812706706_0078.

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Balkan, Tuna, M. Kemal Özgören, M. A. Sahir Arikan, and H. Murat Baykurt. "An Analytical Inverse Kinematics Solution Method for Robotic Manipulators." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/mech-14135.

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Abstract In this study, an inverse kinematic solution approach applicable to six degree-of-freedom industrial robotic manipulators is introduced. The approach is based on a previously introduced kinematic classification of industrial robotic manipulators by Balkan et al. (1999), and depending on the kinematic structure, either an analytical or a semi-analytical inverse kinematic solution is obtained. The semi-analytical method is named as the parametrized joint variable (PJV) method. Compact forward kinematic equations obtained by utilizing the properties of exponential rotation matrices. In the inverse kinematic solutions of the industrial robots surveyed in the previous study, most of the simplified compact equations can be solved analytically and the remaining few of them can be solved semi-analytically through a numerical solution of a single univariate equation. In these solutions, the singularities and the multiple configurations of the manipulators can be determined easily. By the method employed in this study, the kinematic and inverse kinematic analysis of any manipulator or designed-to-be manipulator can be performed and using the solutions obtained, the inverse kinematics can also be computerized by means of short and fast algorithms. As an example for the demonstration of the applicability of the presented method to manipulators with closed-chains, ABB IRB2000 industrial robot is selected which has a four-bar mechanism for the actuation of the third link, and its compact forward kinematic equations are given as well as the inverse kinematic solution.
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Imre, E. "Inverse problem solution for the dissipation test." In 5th EEGS-ES Meeting. European Association of Geoscientists & Engineers, 1999. http://dx.doi.org/10.3997/2214-4609.201406462.

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Bobro, V. V., Anatolij S. Mardezhov, and A. I. Semenenko. "Solution of the incorrect inverse ellipsometric problem." In Eleventh International Vavilov Conference on Nonlinear Optics, edited by Sergei G. Rautian. SPIE, 1998. http://dx.doi.org/10.1117/12.328252.

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Smithies, Derek J., Thomas E. Milner, J. Stuart Nelson, and Dennis M. Goodman. "Solution of the infrared tomography inverse problem." In Photonics West '96, edited by Steven L. Jacques. SPIE, 1996. http://dx.doi.org/10.1117/12.239556.

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Zakirov, Iskander S., and Ernest S. Zakirov. "Aquifer Configuration Estimation Through Inverse Problem Solution." In SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, 1999. http://dx.doi.org/10.2118/51926-ms.

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Reports on the topic "Inverse solution"

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Zirilli, Francesco. Mathematics: Numerical Solution of Inverse Problems in Acoustics. Fort Belvoir, VA: Defense Technical Information Center, April 1992. http://dx.doi.org/10.21236/ada267402.

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Tropp, Joel A., and Stephen J. Wright. Computational Methods for Sparse Solution of Linear Inverse Problems. Fort Belvoir, VA: Defense Technical Information Center, March 2009. http://dx.doi.org/10.21236/ada633835.

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Osipov, G. S., and E. V. Osipova. On the solution of inverse problems with fuzzy correspondences. Review of applied and industrial mathematics., 2019. http://dx.doi.org/10.18411/oppm-2019-26-3.

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Haan, V. O. de, A. A. van Well, P. E. Sacks, S. Adenwalla, and G. P. Felcher. Toward the solution of the inverse problem in neutron reflectometry. Office of Scientific and Technical Information (OSTI), August 1995. http://dx.doi.org/10.2172/510293.

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Symes, William. Integrated Approaches to Parallelism in Optimization and Solution of Inverse Problems. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada262259.

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Dennis, John E., and Richard A. Tapia. Integrated Approaches to Parallelism in Optimization and the Solution of Inverse Problems. Fort Belvoir, VA: Defense Technical Information Center, September 1992. http://dx.doi.org/10.21236/ada261490.

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Hartland, Tucker, Cosmin Petra, Noemi Petra, and Jingyi Wang. Bound Constrained Partial DifferentialEquation Inverse Problem Solution by theSemi-Smooth Newton Method. Office of Scientific and Technical Information (OSTI), February 2021. http://dx.doi.org/10.2172/1765792.

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Leland, R. W., B. L. Draper, S. Naqvi, and B. Minhas. Massively parallel solution of the inverse scattering problem for integrated circuit quality control. Office of Scientific and Technical Information (OSTI), September 1997. http://dx.doi.org/10.2172/534506.

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Miller, Eric L., and Alan S. Willsky. A Multiscale Approach to Sensor Fusion and the Solution of Linear Inverse Problems. Fort Belvoir, VA: Defense Technical Information Center, December 1993. http://dx.doi.org/10.21236/ada458527.

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Miller, Eric L., and Alan S. Willsky. Wavelet Transforms and Multiscale Estimation Techniques for the Solution of Multisensor Inverse Problems. Fort Belvoir, VA: Defense Technical Information Center, January 1994. http://dx.doi.org/10.21236/ada458528.

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You might also be interested in the extended bibliographies on the topic 'Inverse solution' for particular source types:
Journal articles Dissertations / Theses Books
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