This text concerns modern methods in scientific computing and linear algebra, relevant to image and signal processing. For these applications, it considers: sophisticated mathematical models of the problem; rigorous mathematical theories to understand the difficulties of solving problems which are ill-posed; and fast algorithms for either real-time or data-massive computations. Such are the topics brought into focus by these proceedings of the Workshop on Scientific Computing (held in Hong Kong on March 10-12, 1997), where the major themes were on numerical linear algebra, signal processing, and image processing.