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Abstract The matrix equation f ( X ) = A , where f is an analytic function and A is a square matrix, is considered. Some results on the classification… Click to show full abstract
Abstract The matrix equation f ( X ) = A , where f is an analytic function and A is a square matrix, is considered. Some results on the classification of solutions are provided. When f is rational, a numerical algorithm is proposed to compute all solutions that can be written as a polynomial of A . For real data, the algorithm yields the real solutions using only real arithmetic. Numerical experiments show that the algorithm performs in a stable fashion when run in finite precision arithmetic.
Keywords:
solutions equations;
involving primary;
primary matrix;
primary solutions;
equations involving;
computing primary
Journal Title: Linear Algebra and its Applications
Year Published: 2019
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Journal Title: Linear Algebra and its Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!