zbMath0346.15001MaRDI QIDQ4115244
M. Zuhair Nashed, Louis B. Rall
Publication date: 1976
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces ⋮
Exact pole assignment with regularity by output feedback in descriptor systems—Part 2 ⋮
Unnamed Item ⋮
Gauss-Newton method for solving linear inverse problems with neural network coders ⋮
On perturbation of Drazin invertible linear relations ⋮
Lineare gleichungssysteme und lineare modelle in der versicherungsmathematik ⋮
Minus partial order in regular modules ⋮
An algorithmic approach to orthogonal projections and moore-penrose inverses ⋮
The direct sum order in regular modules ⋮
A Modified Tikhonov Regularization for Linear Operator Equations ⋮
Newton-Type Solvers Using Outer Inverses for Singular Equations ⋮
Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems ⋮
On the Reduction of Linear Systems Related to Boundary Value Problems ⋮
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients ⋮
Representations for Moore-Penrose inverses in Hilbert spaces ⋮
The Moore-Penrose inverse of von Neumann regular matrices over a ring ⋮
Multivalued Fredholm type operators with abstract generalized inverses ⋮
Topological and geometric property of matrix algebra ⋮
A Parametric Newton Method for Optimization Problems in Hilbert Spaces ⋮
On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\) ⋮
Partial orders on the power sets of Baer rings ⋮
From Sommerfeld Diffraction Problems to Operator Factorisation ⋮
Linearly involved generalized Moreau enhanced models and their proximal splitting algorithm under overall convexity condition ⋮
Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach ⋮
Generalized Galerkin approximations for pseudoinverses and operator equations of the first kind ⋮
A Principle for Critical Point Under Generalized Regular Constraint and Ill-Posed Lagrange Multipliers Under Nonregular Constraints ⋮
Varying-parameter Zhang neural network for approximating some expressions involving outer inverses ⋮
Expansion of linear and semilinear systems and the Popov criterion ⋮
A kind of generalized transversality theorem for \(C^r\) mapping with parameter ⋮
Convergence of Newton-like methods for singular operator equations using outer inverses ⋮
An intermediate algorithm for pole placement by output feedback in descriptor systems ⋮
Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse ⋮
Singular value and generalized singular value decompositions and the solution of linear matrix equations ⋮
Perturbation of the Moore-Penrose metric generalized inverse in reflexive strictly convex Banach spaces ⋮
The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\) ⋮
Some necessary and sufficient conditions for eigenstructure assignment ⋮
Higher-order convergent iterative method for computing the generalized inverse and its application to Toeplitz matrices ⋮
The metric generalized inverse and its single-value selection in the pricing of contingent claims in an incomplete financial market ⋮
A posteriori parameter choice for general regularization methods for solving linear ill-posed problems ⋮
Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited ⋮
Operator-theoretic and regularization approaches to ill-posed problems ⋮
Projection methods solving rectangular systems of linear equations ⋮
Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras) ⋮
\textit{Theorema}: Towards computer-aided mathematical theory exploration ⋮
Semiinversion and properties of matrix invariants ⋮
Topology and smooth structure for pseudoframes ⋮
A parameter choice strategy for (iterated) tikhonov regularization of iii-posed problems leading to superconvergence with optimal rates ⋮
Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method ⋮
Additive preservers of Drazin invertible operators with bounded index ⋮
An analysis of the numerical solution of Fredholm integral equations of the first kind ⋮
Weak convergence of approximate solutions of stochastic equations with applications to random differential and integral equations∗ ⋮
Lotka-Volterra equations: Decomposition, stability, and structure. Part I: Equilibrium analysis ⋮
Gauss and generalized inverses ⋮
Partial differential equations for zooming, deinterlacing and dejittering ⋮
Inner, outer, and generalized inverses in banach and hilbert spaces ⋮
A common property of \(R(E,F)\) and \(B(\mathbb R^n, \mathbb R^m)\) and a new method for seeking a path to connect two operators ⋮
Regularization with differential operators. I: General theory ⋮
The stability of Banach frames in Banach spaces ⋮
Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces ⋮
Operator part of infinite system of differential equations ⋮
Some new perturbation results for generalized inverses of closed linear operators in Banach spaces ⋮
Multiscale modeling using goal-oriented adaptivity and numerical homogenization. II: Algorithms for the Moore-Penrose pseudoinverse ⋮
Near subnormal operators and subnormal operators ⋮
The product of operators with closed range and an extension of the reverse order law ⋮
Integral equation methods for the Helmholtz equation ⋮
Invertibility of operator matrices on a Banach space ⋮
A boundary element formulation with equilibrium satisfaction for thermo-mechanical problems considering transient and nonlinear aspects ⋮
Orthogonally Complemented Subspaces in Banach Spaces ⋮
Metric and probabilistic information associated with Fredholm integral equations of the first kind ⋮
Gradient methods for computing the Drazin-inverse solution ⋮
Approximative compactness and continuity of metric projector in Banach spaces and applications ⋮
Construction of solutions of linear operator equations in Banach spaces ⋮
Uniform convergence of regularization methods for linear ill-posed problems ⋮
Some orders for operators on Hilbert spaces ⋮
Complete rank theorem of advanced calculus and singularities of bounded linear operators ⋮
On sets of elements in Rickart rings induced by partial orders ⋮
Photoacoustic tomography with spatially varying compressibility and density ⋮
Factorizations of hyperpower family of iterative methods via least squares approach ⋮
Linear Noetherian boundary value problems for differential systems with an impulse action ⋮
Singular value estimates of oblique projections ⋮
(T,S) splitting methods for computing the generalized inverse and rectangular systems∗ ⋮
Criteria for the metric generalized inverse and its selections in Banach spaces ⋮
Watson resummation of a class of Hausdorff-transformed power series ⋮
Condition numbers for the outer inverse and constrained singular linear system ⋮
Cauchy problem for a degenerate heat equation in Banach spaces ⋮
A rank theorem of operators between Banach spaces ⋮
A note on commutativity of a linear operatorand its moore-penrose inverse ⋮
On the right (left) invertible completions for operator matrices ⋮
Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverses ⋮
Quantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decomposition ⋮
Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights ⋮
The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces ⋮
A note on the perturbation of an outer inverse ⋮
The Basic Principles for Stable Approximations to Orthogonal Generalized Inverses of Linear Operators in Hilbert Spaces ⋮
ON DIRECT METHODS FOR TIME-LIMITED SIGNAL AND IMAGE RECONSTRUCTION AND ENHANCEMENT ⋮
On \(\mathbb{A}\)-numerical radius equalities and inequalities for certain operator matrices ⋮
The sharp Lipschitz constants for feasible and optimal solutions of a perturbed linear program ⋮
Symmetric solutions of linear matrix equations by matrix decompositions ⋮
Reduced solutions of Douglas equations and angles between subspaces ⋮
An iterative method for ill-posed problems with inequalities
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