Quadratic eigenvalue problem: Difference between revisions

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In mathematics, the '''quadratic eigenvalue problem<ref>F. Tisseur and K. Meerbergen, The quadratic eigenvalue problem, SIAM

Rev., 43 (2001), pp. 235–286.</ref> (QEP)''', sometimes called a '''quadratic matrix equation''', is to find [[scalar]] [[eigenvalue]]s <math>\lambda\,</math>, left [[eigenvector]]s <math>y\,</math> and right eigenvectors <math>x\,</math> such that

:<math> Q(\lambda)x = 0\text{ and }y^\ast(\lambda) = 0,\, </math>