论文标题
用减少的产品同时计算基质正弦和余弦
Computing the matrix sine and cosine simultaneously with a reduced number of products
论文作者
论文摘要
提出了一个新的程序，用于通过泰勒多项式近似同时计算基质余弦和正弦。这些被分解以减少所涉及的基质产品的数量。开发了两个版本，用于单个和双重精度算术。所得算法比基于PADé近似值的方案更有效。
A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions are developed to be used in single and double precision arithmetic. The resulting algorithms are more efficient than schemes based on Padé approximations for a wide range of norm matrices.
