Coupled linear operators (Q1120805)
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scientific article; zbMATH DE number 4101916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coupled linear operators |
scientific article; zbMATH DE number 4101916 |
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Coupled linear operators (English)
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1989
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The authors consider the simultaneous solution of a coupled pair of linear operator equations. Such systems are abstract representations of various problems in control theory and linear boundary value problems. Necessary and sufficient conditions are given for a solution of the coupled system to exist and a general form for solutions, in terms of certain algebraic generalized inverse operators, is provided. A family of generalized inverses for the product operator is introduced and the member of this family which is the Moore-Penrose generalized inverse is characterized. The results are related to work of Minamide and Nakamura on the constrained minimization problem.
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simultaneous solution of a coupled pair of linear operator
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equations
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abstract representations of various problems in control theory and
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linear boundary value problems
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algebraic generalized inverse operators
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generalized inverses for the product operator
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Moore-Penrose generalized inverse
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simultaneous solution of a coupled pair of linear operator equations
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abstract representations of various problems in control theory and linear boundary value problems
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0.8786235
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0.8742075
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0.8717031
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0.8673748
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