M-tensors and The Positive Definiteness of a Multivariate Form
classification
🧮 math.NA
keywords
positivem-tensorsdefinitenesseigenvalueformmultivariatesmallestalgorithm
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We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector. We propose an algorithm to find the smallest positive eigenvalue and then apply the property to study the positive definiteness of a multivariate form.
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