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... of the more central tools is the Fenchel  conjugate 
Duality and Convex Programming
Duality and Convex Programming
Borwein, Jonathan M.; Luke, D. Russell
Fenchel ...
... is a diagonal matrix and Q ∗ is the complex  conjugate 
Large-Scale Inverse Problems in Imaging
Large-Scale Inverse Problems in Imaging
Chung, Julianne; Knepper, Sarah; Nagy, James G.
transpose of Q, with Q ∗ Q = I. ...
... Having determined the sensitivities, the  conjugate 
The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data
The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data
Martinec, Zdeněk
gradient inversion is run to infer 1-D and ...
... a particularly popular one is the method of  conjugate 
Tomography
Tomography
Herman, Gabor T.
gradients ...
... efficient than simple steepest descent or  conjugate 
Strategies in Adjoint Tomography
Strategies in Adjoint Tomography
Luo, Yang; Modrak, Ryan; Tromp, Jeroen
gradient algorithms, the nonuniqueness ...
... the problem and a subsequent solution by a  conjugate 
Supervised Learning by Support Vector Machines
Supervised Learning by Support Vector Machines
Steidl, Gabriele
gradient or alternating minimization method ...
... and positive semi-definite by design, a  conjugate 
Nonlinear Image Registration
Nonlinear Image Registration
Ruthotto, Lars; Modersitzki, Jan
gradient (CG) method [44] can be used to ...
... \end{array}$$ is the Cauchy-type harmonic  conjugate 
Clifford Analysis and Harmonic Polynomials
Clifford Analysis and Harmonic Polynomials
Gürlebeck, Klaus; Sprößig, Wolfgang
of the Poisson kernel on the unit sphere. ...
... therein). It has also been analyzed for  conjugate 
Evaluation of Parameter Choice Methods for Regularization of Ill-Posed Problems in Geomathematics
Evaluation of Parameter Choice Methods for Regularization of Ill-Posed Problems in Geomathematics
Bauer, Frank; Gutting, Martin; Lukas, Mark A.
gradient iteration in a continuous ...
... are three classes of iterative methods,  conjugate 
Mathematics of Electron Tomography
Mathematics of Electron Tomography
Öktem, O.
gradient, Maximum-Likelihood Expectation ...
... function p(r). Numerical Method Based on  Conjugate 
Inverse Resistivity Problems in Computational Geoscience
Inverse Resistivity Problems in Computational Geoscience
(Hasanoǧlu), AlemdarHasanov; Mukanova, Balgaisha
Gradient Algorithm Gradient Formulas Thus, ...
... , and the bar denotes the complex  conjugate 
Imaging in Random Media
Imaging in Random Media
Borcea, Liliana
. ...
... operator is squared (multiplied by its  conjugate 
It’s All About Statistics: Global Gravity Field Modeling from GOCE and Complementary Data
It’s All About Statistics: Global Gravity Field Modeling from GOCE and Complementary Data
Pail, Roland
complex), as it is done in the composition ...
... nonmonotone gradient method, truncated  conjugate 
Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment
Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment
Wang, Yanfei
gradient method with trust region ...
... ζ and + c. c. means that we add the complex  conjugate 
Convection Structures of Binary Fluid Mixtures in Porous Media
Convection Structures of Binary Fluid Mixtures in Porous Media
Augustin, Matthias; Umla, Rudolf; Lücke, Manfred
of the summand immediately before the plus ...
... )dx_{1}'dx_{2}',$$ where g ∗ is the complex  conjugate 
Correlation Modeling of the Gravity Field in Classical Geodesy
Correlation Modeling of the Gravity Field in Classical Geodesy
Jekeli, Christopher
of g (we deal only with real functions but ...
... }))$$ , e.g., defined by the  conjugate 
Iterative Solution Methods
Iterative Solution Methods
Burger, Martin; Kaltenbacher, Barbara; Neubauer, Andreas
gradient method. ...
... upper star ∗ in (16) denotes the complex  conjugate 
Fast Spherical/Harmonic Spline Modeling
Fast Spherical/Harmonic Spline Modeling
Gutting, Martin
. ...
... $$ . Convergence can be speeded up using  conjugate 
Transmission Tomography in Seismology
Transmission Tomography in Seismology
Nolet, Guust
gradients (Fletcher and Reeves 1964). ...
... ; and * denotes complex  conjugate 
Toroidal-Poloidal Decompositions of Electromagnetic Green’s Functions in Geomagnetic Induction
Toroidal-Poloidal Decompositions of Electromagnetic Green’s Functions in Geomagnetic Induction
Sun, Jin
. ...
... .,$$ where $$\overline{Y }_{l,-m}$$ is the  conjugate 
Satellite-to-Satellite Tracking (Low–Low/High–Low SST)
Satellite-to-Satellite Tracking (Low–Low/High–Low SST)
Keller, Wolfgang
complex of Y l, − m , the P l m are the ...
... a scalar function and bar denotes complex  conjugate 
Mathematical Methods in PET and SPECT Imaging
Mathematical Methods in PET and SPECT Imaging
S.Fokas, Athanasios; A.Kastis, George
. ...
... field lines are compared in the so-called  conjugate 
Analysis of Data from Multi-satellite Geospace Missions
Analysis of Data from Multi-satellite Geospace Missions
Vogt, Joachim
studies, and then their correlations ...
... A standard way is to use preconditioned  conjugate 
Numerical Methods and Applications in Total Variation Image Restoration
Numerical Methods and Applications in Total Variation Image Restoration
Chan, Raymond; Chan, Tony F.; Yip, Andy
gradient to solve. ...