Mathematical Software

List of ContributorsPrefaceAcknowledgmentsPart One Prologue Chapter 1. Historical Notes I. Introduction II. Chronological Record References Chapter 2. The Distribution and Sources of Mathematical Software I. Introduction II. Local Distribution Methods III. Assessment of General Sources IV. Summary Chapter 3. The Challenge for Mathematical Software I. Introduction II. Algorithm Construction III. Evaluation-Charting the Unknown IV. Dissemination-Some Alternatives V. Two Recommendations References Chapter 4. Discussion of the Papers I. The User's Voice II. Arithmetic III. Libraries IV. The Automation of Numerical Analysis V. Comparative Evaluation VI. Systems for Mathematical Software VII. Nonnumerical Software VIII. Mathematical ProceduresPart Two Proceedings of the Symposium Chapter 5. The Papers 5.1 A User's Experience with Sophisticated Least-Squares Software in the Discovery of the Lunar Mass Concentrations (Mascons) I. Nature of the Data Reduction II. Implication for Program Development and Distribution III. Summary of Conclusions Reference 5.2 User Modifiable Software I. The Argument for Easy-to-Modify Software II. Writing Easy-to-Modify Software 5.3 Number Representation and Significance Monitoring I. Number Representation II. Error Classification III. Significance Analysis IV. Significance Monitoring V. Mathematical Software References 5.4 The Estimation of Significance I. Introduction II. Discussion of Rules III. Implementation IV. Elementary Functions V. Numerical Experiments References 5.5 Nonstandard Arithmetic I. Reliability II. Subroutine Library III. Efficiency in Execution IV. Ease of Use V. Implementation of Nonstandard Arithmetic VI. Use of Precompiler VII. Type Other VIII. Conclusion References 5.6 Making Special Arithmetics Available References 5.7 The Production of Mathematical Software for a Mass Audience I. Introduction II. Discussion Assumptions III. Problems in Mathematical Software Production IV. Environmental Conditions Affecting Mathematical Software Production V. Production of Mathematical Software VI. User Attitudes VII. Summary 5.8 High Quality Portable Numerical Mathematics Software I. Introduction II. The Bell Laboratories Numerical Mathematics Program Library One III. Status of Library One IV. ZERBND V. Portability VI. Testing References 5.9 The Development and Maintenance of a Technical Subprogram Library I. Introduction II. Coding Standards III. Documentation Format IV. Review Procedures V. Maintenance Procedures VI. Multiple Precision in Fortran VII. Support and Maintenance Requirements VIII. Access Procedures IX. Summary and Conclusions X. Current Category Index XI. Sample Documentation 5.10 The Boeing Library and Handbook of Mathematical Routines Reference Appendix 5.11 Software for the Elementary Functions I. Introduction II. Preliminaries III. Primary Routines IV. Secondary Routines V. Management Routines VI. Summary Appendix References 5.12 Mathematical Function Subprograms for Basic System Libraries-Objectives, Constraints, and Trade-Off I. Objectives II. Choice of Programming Language III. Systems Specifications IV.