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Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms

Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms

Theoretical and computational aspects of matrix inverse trigonometric and inverse hyperbolic functions are studied. Conditions for existence are given, all possible values are characterized, and the principal values acos, asin, acosh, and asinh are defined and shown to be unique primary matrix functions. Various functional identities are derived, some of …