A comprehensive theory of the matrix linear equation AX + XB = C is presented. The equation is viewed as a vector equation LX = C in the vector space of all m × n matrices. As the main result, two ...
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...
Let SE denote the least-squares symmetric solution set of the matrix equation AX B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to ...
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