Logarithmic Depth Circuits for Hermite Interpolation

✍ Scribed by W. Eberly

• Book ID: 102968491
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 911 KB
• Volume: 16
• Category: Article
• ISSN: 0196-6774
• DOI: 10.1006/jagm.1994.1016

✦ Synopsis

A new, fast parallel algorithm is given for Hermite interpolation. The algorithm can be implemented using arithmetic-boolean circuits of depth logarithmic and size polynomial in the input size. A corresponding Boolean algorithm can be used to compute the coefficients of the Hermite interpolating polynomial from binary representations of evaluation points and derivatives, over finite fields and algebraic number fields, using a (P)-uniform family of circuits of depth logarithmic in the input size and of polynomial size. 1994 Academic Press. Inc.