| 1. | They arise in solving matrix equations such as the Sylvester equation.
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| 2. | Substituting the approximation into boundary condition yields the following matrix equation
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| 3. | The relation between the incident and scattered waves is given by the matrix equation
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| 4. | A matrix representation for an inhomogeneous medium was presented using a pair of matrix equations.
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| 5. | With multiple state variables and multiple control variables, the Riccati equation will be a matrix equation.
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| 6. | Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis.
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| 7. | :This matrix equation is solvable because the determinant is non-zero by Vandermonde's formula.
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| 8. | And this matrix equation contains the general conditions on the Lorentz transformation to ensure invariance of the spacetime interval.
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| 9. | Any vector-matrix equation may be transposed to an equivalent equation where the order of the factors is reversed.
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| 10. | I need to solve thousands of such matrix equations where A _ i typically has tens of thousands of rows.
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