Screen LibraryMathematical software III : proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28-30, 1977 /
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| Corporate Authors: | ; ; |
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| Group Author: | |
| Published: |
Academic Press,
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| Publisher Address: | New York : |
| Publication Dates: | 1977. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Publication of the Mathematics Research Center, the University of Wisconsin--Madison ;
number 39 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780125872607 |
| Carrier Form: | 1 online resource (ix, 388 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781483267142 1483267148 |
| Index Number: | QA3 |
| CLC: | O241-532 |
| Contents: |
Front Cover; Mathematical Software III; Copyright Page; Table of Contents; Contributors; Preface; Chapter 1. Research, Development, and LINPACK; ABSTRACT; 1. INTRODUCTION; 2. ESTIMATION OF CONDITION NUMBERS; 3. STABILITY OF LEAST SQUARES SOLUTIONS; 4. SCALING AND COLUMN ELIMINATION; 5. DOWNDATING; 6. TIMING THE BLAS; REFERENCES; Chapter 2. A Technique that Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations; ABSTRACT; 1. INTRODUCTION; 2. NUMERICAL INSTABILITY IN THE EXCHANGE ALGORITHM; 3. THE NEW TECHNIQUE; 4. THEORY; 5. DISCUSSION; REFERENCES. Chapter 3. Infallible Calculation of Polynomial Zeros to Specified PrecisionABSTRACT; 1. INTRODUCTION; 2. PRELIMINARIES; 3. STURM SEQUENCES FOR REAL ZEROS; 4. STURM SEQUENCES FOR COMPLEX ZEROS; 5. ROLLE'S THEOREM FOR REAL ZEROS; 6. DESCARTES' THEOREM FOR REAL ZEROS; 7. APPLICATION OF INTERVAL ARITHMETIC; 8. COMPLEX ZEROS WITHOUT STURM SEQUENCES; REFERENCES; Chapter 4. Representation and Approximation of Surfaces; ABSTRACT; 1. INTRODUCTION; 2. INTERPOLATION METHODS DEFINED OVER RECTANGLES; 3. INTERPOLATION SCHEMES DEFINED OVER TRIANGLES; 4. INTERPOLATION METHODS FOR ARBITRARILY PLACED DATA. 5. CONCLUSIONSREFERENCES; ACKNOWLEDGEMENTS; Chapter 5. Simulation: Conflicts between Real-Time and Software; ABSTRACT; 1. INTRODUCTION; 2. SIMULATION; 3. REAL-TIME OPERATION; 4. NUMERICAL INTEGRATION IN REAL-TIME; 5. ERRORS IN NUMERICAL INTEGRATION; 6. METHODS FOR REDUCING DELAY AND IMPROVING STABILITY; 7. CONCLUSIONS; REFERENCES; Chapter 6. Mathematical Software and Exploratory Data Analysis; ABSTRACT; 1. INTRODUCTION; 2. OVERVIEW OF EXPLORATORY DATA ANALYSIS; 3. AN EXAMPLE: TIMING DATA; 4. SOFTWARE NEEDS OF EXPLORATORY DATA ANALYSIS; 5. SUMMARY; REFERENCES. Chapter 7. Software for C1 Surface Interpolation1. INTRODUCTION; 2. PROBLEM STATEMENT; 3. EXPECTED APPLICATIONS; 4. PUBLISHED WORK ON SURFACE INTERPOLATION TO IRREGULARLY LOCATED DATA; 5. OUTLINE OF THE ALGORITHMIC APPROACH SELECTED; 6. CONSTRUCTING A TRIANGULAR GRID; 7. ESTIMATING PARTIAL DERIVATIVES AT THE GRID NODES; 8. LOOKUP IN THE TRIANGULAR GRID; 9. INTERPOLATION IN A TRIANGLE; 10. EXAMPLES; 11. THREE CRITERIA FOR TRIANGULATION OF A STRICTLY CONVEX QUADRILATERAL; 12. GLOBAL CONSEQUENCES OF THE LOCAL OPTIMIZATION PROCEDURE; 13. McLAIN'S TRIANGULATION METHOD. 14. LIMITS ON GRID CHANGES WHEN ADDING A NEW POINT15. CONCLUSIONS; REFERENCES; Chapter 8. Mathematical Software Production; ABSTRACT; I. Introduction; II. The Evolution of Mathematical Software Production; III. Intellectual Challenges; IV. Projects to Produce Mathematical Software; V. Trends in Mathematical Software Production; REFERENCES; Chapter 9. Computational Aspects of the Finite Element Method; 1. INTRODUCTION; 2. GOALS OF THE COMPUTATIONAL ANALYSIS; 3. THE PRINCIPAL STAGES OF THE COMPUTATIONAL ANALYSIS; 4. SOME SOFTWARE ASPECTS; 5. SOME COMPUTATIONAL RESULTS; REFERENCES. |