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A study of inverse problems based on two kinds of special matrix equations in Euclidean space. (English) Zbl 1327.15032

Summary: Two special classes of symmetric coefficient matrices were defined based on characteristics matrix; meanwhile, the expressions of the solution to inverse problems are given and the conditions for the solvability of these problems are studied relying on researching. Finally, the optimal approximation solution of these problems is provided.

MSC:

15A24 Matrix equations and identities
15B48 Positive matrices and their generalizations; cones of matrices
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