In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

THE problem of ‘inverting’ singular matrices is by no means uncommon in statistical analysis. Rao 1 has shown in a lemma that a generalized inverse (g-inverse) always exists, although in the case of a ...

where matrix is a numeric matrix or literal. The GINV function creates the Moore-Penrose generalized inverse of matrix. This inverse, known as the four-condition inverse, has these properties: ...

The Annals of Statistics publishes research papers of the highest quality reflecting the many facets of contemporary statistics. Primary emphasis is placed on importance and originality, not on ...

Rearranging the formula for the circumference of a circle makes the radius the subject. Start with the new subject and write out the function machine for the formula, showing each operation step by ...