New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations (Q513504)
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scientific article; zbMATH DE number 6692489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations |
scientific article; zbMATH DE number 6692489 |
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New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations (English)
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7 March 2017
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The authors consider the condensed Cramer's rule for the general solution, the least squares solution and the least norm solution of the first two Penrose's equations \[ AXA=A,XAX = X, \] where \(A\) is an \(m \times n\) matrix over the quaternions algebra.
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quaternion matrix equation
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Cramer's rule
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generalized inverse \(A^{2}_{T, S}\)
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least squares solution
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least norm solution
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Penrose's equations
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