A method for finding the zeros of polynomials using a companion matrix. (Q1421154)
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scientific article; zbMATH DE number 2032557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method for finding the zeros of polynomials using a companion matrix. |
scientific article; zbMATH DE number 2032557 |
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A method for finding the zeros of polynomials using a companion matrix. (English)
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2003
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In this paper the problem of finding zeros of a monic polynomial of degree \(n\) is transformed to the problem of finding eigenvalues of the corresponding companion matrix. A new method is presented by constructing a new companion matrix which has only simple eigenvalues. All the distinct zeros of a polynomial and their multiplicities can be calculated by this method.
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polynomial zeros
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companion matrix
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multiple roots
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eigenvalue problem
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