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2012•Electronic Journal of Linear AlgebraOpen access

Critical exponents: old and new

Charles R. Johnson, Olivia Walch

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Abstract

For Hadamard and conventional powering, we survey past and current work on the existence and values of critical exponents (CEs) for such matrix classes as doubly nonnegative, totally positive, M- and inverse M-matrices. There are remarkable similarities and differences between Hadamard and conventional CEs for the various classes.

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For Hadamard and conventional powering, we survey past and current work on the existence and values of critical exponents (CEs) for such matrix classes as doubly nonnegative, totally positive, M- and inverse M-matrices. There are remarkable similarities and differences between Hadamard and conventional CEs for the various classes.

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Available abstract

For Hadamard and conventional powering, we survey past and current work on the existence and values of critical exponents (CEs) for such matrix classes as doubly nonnegative, totally positive, M- and inverse M-matrices. There are remarkable similarities and differences between Hadamard and conventional CEs for the various classes.

Key concepts: Hadamard transform, Mathematics, Critical exponent, Inverse, Matrix (chemical analysis), Pure mathematics, Combinatorics, Mathematical analysis

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