On the Matrix Norm Subordinate to the Holder Norm
Copyright policy )On the Matrix Norm Subordinate to the Holder Norm
For non-negative matrices P the matrix norm subordinate to the Hölder norm of index p with p \in (1,\infty) is determined by an eigenvalue problem T\alpha = \lambda \alpha , where T is a homogeneous, strongly monotone operator.
Positive matrices and their generalizations; cones of matrices, Eigenvalues, singular values, and eigenvectors, Norms of matrices, numerical range, applications of functional analysis to matrix theory, subordinate matrix norms, non-negative matrices, positive eigenvalue, Hölder vector norms
Positive matrices and their generalizations; cones of matrices, Eigenvalues, singular values, and eigenvectors, Norms of matrices, numerical range, applications of functional analysis to matrix theory, subordinate matrix norms, non-negative matrices, positive eigenvalue, Hölder vector norms
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