John W. Hilgers

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All published works

Action	Title	Year	Authors
+	A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations	2007	John W. Hilgers Barbara S. Bertram William R. Reynolds
+	A Computational Multi-Kernel Approach to Multi-Sensor Problems Using Cross-Referencing (CREF)	2006	W.R. Case Barbara S. Bertram John W. Hilgers
+ PDF Chat	Cross-referencing for Determining Regularization Parameters in Ill-Posed Imaging Problems	2006	John W. Hilgers Barbara S. Bertram
+	Comparing different types of approximators for choosing the parameters in the regularization of ill-posed problems	2004	John W. Hilgers Barbara S. Bertram
+	Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS	2002	John W. Hilgers Barbara S. Bertram William R. Reynolds
+	Extensions of constrained least squares for obtaining regularized solutions to first kind integral equations	2000	John W. Hilgers Barbara S. Bertram W Reynolds
+	<title>Extensions of the cross-referencing method for choosing good regularized solutions to image recovery problems</title>	1997	John W. Hilgers Barbara S. Bertram Monica M. Alger William R. Reynolds
+	<title>Extension of Tikhonov regularization based on varying the singular values of the regularization operator</title>	1997	Monica M. Alger John W. Hilgers William R. Reynolds Barbara S. Bertram
+	An analysis of several methods for approximately solving the mechanical alloying equation	1989	John W. Hilgers
+	The Solution of an Evolution Equation Describing Certain Types of Mechanical and Chemical Interaction	1985	Wolfgang Walter Κ. L. Kuttler John W. Hilgers T. H. Courtney
+	A variation of the coagulation equation with applications in material sciences	1985	John W. Hilgers Robert J. Spahn T. H. Courtney
+ PDF Chat	A perturbation method for solving a quadratic evolution equation	1983	John W. Hilgers Robert J. Spahn
+	A theory for optimal regularization in the finite dimensional case	1982	John W. Hilgers
+	A Note on Estimating the Optimal Regularization Parameter	1980	John W. Hilgers
+	Erratum: On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems	1978	John W. Hilgers
+	On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems	1976	John W. Hilgers
+	Non-Iterative Methods for Solving Operator Equations of the First Kind.	1974	John W. Hilgers

Common Coauthors

Coauthor	Papers Together
Barbara S. Bertram	8
William R. Reynolds	4
T. H. Courtney	2
Monica M. Alger	2
Robert J. Spahn	2
W.R. Case	1
Wolfgang Walter	1
W Reynolds	1
K. L. Kuttler	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The theory of Tikhonov regularization for Fredholm equations of the first kind	1984	C. W. Groetsch	4
+	Solution of incorrectly formulated problems and the regularization method	1963	А. Н. Тихонов	3
+	Methods for Solving Incorrectly Posed Problems	1984	Vladimir A. Morozov	3
+	Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter	1979	Gene H. Golub Michael T. Heath Grace Wahba	3
+	Extensions of constrained least squares for obtaining regularized solutions to first kind integral equations	2000	John W. Hilgers Barbara S. Bertram W Reynolds	3
+	Fast CG-Based Methods for Tikhonov--Phillips Regularization	1999	Andreas Frommer Peter Maaß	2
+	Regularization methods for linear inverse problems	1986	M. Bertero	2
+	On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables	2002	Haiyan Cheng Barbara S. Bertram	2
+	On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables	2002	Barbara S. Bertram Haiyan Cheng	2
+	Comparing different types of approximators for choosing the parameters in the regularization of ill-posed problems	2004	John W. Hilgers Barbara S. Bertram	2
+ PDF Chat	Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems	2001	Misha E. Kilmer Dianne P. O’Leary	2
+	A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems	1979	J. M. Varah	2
+	A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems	2002	Marielba Rojas Danny C. Sorensen	2
+	<title>Extensions of the cross-referencing method for choosing good regularized solutions to image recovery problems</title>	1997	John W. Hilgers Barbara S. Bertram Monica M. Alger William R. Reynolds	2
+	The “Minimum Reconstruction Error” Choice of Regularization Parameters: Some More Efficient Methods and Their Application to Deconvolution Problems	1995	Laurent Desbat Didier Girard	2
+	A General Heuristic for Choosing the Regularization Parameter in Ill-Posed Problems	1996	Martin Hanke Toomas Raus	2
+	<title>Extension of Tikhonov regularization based on varying the singular values of the regularization operator</title>	1997	Monica M. Alger John W. Hilgers William R. Reynolds Barbara S. Bertram	2
+ PDF Chat	Near-Optimal Parameters for Tikhonov and Other Regularization Methods	2001	Dianne P. O’Leary	2
+ PDF Chat	A perturbation method for solving a quadratic evolution equation	1983	John W. Hilgers Robert J. Spahn	2
+	On the use of wavelet expansions and the conjugate gradient method for solving first kind integral equations	2019	Barbara S. Bertram	2
+	Non-Iterative Methods for Solving Operator Equations of the First Kind.	1974	John W. Hilgers	2
+	Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS	2002	John W. Hilgers Barbara S. Bertram William R. Reynolds	2
+ PDF Chat	Perturbation Methods in Applied Mathematics	1973	Julian D. Cole Lawrence E. Levine	1
+	A variation of the coagulation equation with applications in material sciences	1985	John W. Hilgers Robert J. Spahn T. H. Courtney	1
+	Solving Least Squares Problems	1995	C. L. Lawson Richard Hanson	1
+	Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter	1979	Gene H. Golub Michael T. Heath Grace Wahba	1
+ PDF Chat	A scalar transport equation. II.	1957	Z. A. Melzak	1
+	Nonlinear semigroups and differential equations in Banach spaces	1976	Viorel Barbu	1
+	Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations	1974	M. Zuhair Nashed Grace Wahba	1
+ PDF Chat	Cross-referencing for Determining Regularization Parameters in Ill-Posed Imaging Problems	2006	John W. Hilgers Barbara S. Bertram	1
+	Compact Numerical Methods for Computers	2018	John C. Nash	1
+	A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind	1977	Lars B. Wahlbin Kendall Atkinson	1
+	Image recovery—Theory and application	1988	Henry Stark	1
+	The Solution of an Evolution Equation Describing Certain Types of Mechanical and Chemical Interaction	1985	Wolfgang Walter Κ. L. Kuttler John W. Hilgers T. H. Courtney	1
+	The Numerical Evaluation of <i>B</i>-Splines	1972	M G Cox	1
+ PDF Chat	A scalar transport equation	1957	Z. A. Melzak	1
+	Regularization of Inverse Problems	1996	Heinz W. Engl Martin Hanke Andreas B. Neubauer	1
+	Solving Least Squares Problems.	1977	Robert F. Ling C. L. Lawson Richard Hanson	1
+	On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems	1976	John W. Hilgers	1
+	Functional analysis in normed spaces	1952	L. V. Kantorovich G.P. AKILOV D. E. Brown A. P. Robertson	1
+	Perturbation Methods in Applied Mathematics	1981	J. Kevorkian Julian D. Cole	1
+	Erratum: On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems	1978	John W. Hilgers	1
+	Nonlinear operators and differential equations in Banach spaces	1976	Robert H. Martin	1
+ PDF Chat	An Analysis of the Zero-Crossing Method for Choosing Regularization Parameters	2002	Peter R. Johnston R.M. Gulrajani	1