Numerical solution of linear algebraic equations where the coefficient matrix is a polynomial of a square matrix |
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Authors: | Trond Steihaug |
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Institution: | (1) Institute of Mathematics Blindern, University of Oslo, Oslo 3, Norway |
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Abstract: | To solve the linear algebraic equationP(A)x=y whereP is a real polynomial of degree two, we shall use a stationary iterative method. It is shown that this method converges for all matrices with eigenvalues in a sector in the right complex half plane provided that the zeros ofP are not in the same sector. |
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