Application of conjugate gradient method to electromagnetics and signal analysis
著者
書誌事項
Application of conjugate gradient method to electromagnetics and signal analysis
（Progress in electromagnetics research / chief editor, Jin Au Kong, pier 5）
Elsevier, c1991
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PIER
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Progress in Electromagnetics Research 5, entitledApplication of Conjugate Gradient Method to Electromagnetics and Signal Analysis, addresses the conjugate gradient method with authoritative contributions from leading scientists in the field. The conjugate gradient method has been very popular for nonlinear optimization problems and is considered an efficient means of solving matrix equations. Recently, the method has been observed as advantageous for direct application to the solution of operator equations. This PIER volume provides a survey of how, when, why and where to apply the conjugate gradient method. Examples illustrate the classes of problems for which the method is most suited in the fields of electromagnetics and signal analysis. The book is appropriate for developing undergraduate research problems, as well as for a special topic course at the graduate level.
目次
(abbreviated): 1. From "Reaction Concept" to "Conjugate Gradient": Have We Made Any Progress? 2. Iterative Schemes Based on Minimization of a Uniform Error Criterion. 3. Iterative Methods for Solving Integral Equations. 4. Derivation, Application and Conjugate Gradient Solution of Dual-Surface Integral Equations for Three-Dimensional, Multiwavelength Perfect Conductors. 5. Comparison of Convergence Rates of the Conjugate Gradient Method Applied To Various Integral Equation Formulations. 6. Applications of the Conjugate Gradient FFT Method to Radiation and Scattering. 7. Numerical Implementations of the Conjugate Gradient Method and the CG-FFT for Electromagnetic Scattering. 8. Analysis of Finite Sized Conducting Patches in Multilayer Media Using the CG-FFT Method and Discretizing Green's Function in the Spectral Domain. 9. Application of the Discrete Fourier Transform Method to Plate Problems. 10. Buried, 2-D Penetrable Objects Illuminated by Line Sources: FFT-Based Iterative Computations of the Anomalous Field. 11. Near-Field to Far-Field Transformation Utilizing the Conjugate Gradient Method. 12. Iterative Methods for Inverse Problems. 13. Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering. 14. Determination of the Phase Constant of Closed Transmission Line Systems Using the Finite Difference and the Conjugate Gradient Methods. 15. A Survey of Various Conjugate Gradient Algorithms for Iterative Solution of the Largest/Smallest Eigenvalue and Eigenvector of a Symmetric Matrix. 16. Application of Conjugate Gradient Method for Optimum Array Processing. Index.
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