[图书][B] Regularization methods in Banach spaces
T Schuster, B Kaltenbacher, B Hofmann… - 2012 - books.google.com
Regularization methods aimed at finding stable approximate solutions are a necessary tool
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …
Convergence of Newton-like methods for singular operator equations using outer inverses
We present a (semilocal) Kantorovich-type analysis for Newton-like methods for singular
operator equations using outer inverses. We establish sharp generalizations of the …
operator equations using outer inverses. We establish sharp generalizations of the …
A characterization and representation of the generalized inverse A (2) T, S and its applications
Y Wei - Linear algebra and its applications, 1998 - Elsevier
This paper presents an explicit expression for the generalized inverse A (2) T, S. Based on
this, we established the characterization, the representation theorem and the limiting …
this, we established the characterization, the representation theorem and the limiting …
[图书][B] Advanced functional analysis
E Malkowsky, V Rakočević - 2019 - taylorfrancis.com
Functional analysis and operator theory are widely used in the description, understanding
and control of dynamical systems and natural processes in physics, chemistry, medicine and …
and control of dynamical systems and natural processes in physics, chemistry, medicine and …
Comparison of various inversion techniques as applied to the determination of a geophysical deformation model for the 1983 Borah Peak earthquake
A number of techniques are employed to overcome nonuniqueness and instability inherent
in linear inverse problems. To test the factors that enter into the selection of an inversion …
in linear inverse problems. To test the factors that enter into the selection of an inversion …
Partial isometries in semi-Hilbertian spaces
Partial isometries in semi-Hilbertian spaces Page 1 Linear Algebra and its Applications 428
(2008) 1460–1475 Available online at www.sciencedirect.com www.elsevier.com/locate/laa …
(2008) 1460–1475 Available online at www.sciencedirect.com www.elsevier.com/locate/laa …
[PDF][PDF] Metric properties of projections in semi-Hilbertian spaces
Metric properties of projections in semi-Hilbertian spaces Page 1 Integr. equ. oper. theory 99
(9999), 1–18 0378-620X/99000-0, DOI 10.1007/s00020-003-0000 c 2012 Birkhäuser Verlag …
(9999), 1–18 0378-620X/99000-0, DOI 10.1007/s00020-003-0000 c 2012 Birkhäuser Verlag …
Computation of Outer Inverse of Tensors Based on t‐Product
Tensor computations play an essential role in various fields of science and engineering,
including multiway data analysis. In this study, we established a few basic properties of the …
including multiway data analysis. In this study, we established a few basic properties of the …
A new approach to classification and regularization of ill-posed operator equations
MZ Nashed - Inverse and ill-posed problems, 1987 - Elsevier
Publisher Summary This chapter presents a classification of ill-posed problems in Banach
spaces according to the type of regularizing families that they admit. In the case of Hilbert …
spaces according to the type of regularizing families that they admit. In the case of Hilbert …
Gauss–Newton method for solving linear inverse problems with neural network coders
O Scherzer, B Hofmann, Z Nashed - Sampling Theory, Signal Processing …, 2023 - Springer
Neural networks functions are supposed to be able to encode the desired solution of an
inverse problem very efficiently. In this paper, we consider the problem of solving linear …
inverse problem very efficiently. In this paper, we consider the problem of solving linear …