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008 100317s1983 nyua ob 100 0 eng d
040 |a OCLCE  |b eng  |e pn  |c OCLCE  |d OCLCQ  |d OCLCF  |d OPELS  |d N$T  |d YDXCP  |d DEBSZ  |d OCLCO  |d OCLCQ  |d OCLCO  |d MERUC  |d OCLCQ  |d UKAHL  |d VLY  |d INARC  |d OCLCQ  |d OCLCO  |d S2H  |d OCLCO  |d COM  |d OCLCO  |d OCL  |d OCLCQ  |d OCLCO 
019 |a 297980642  |a 655808503  |a 1100951125  |a 1150802694 
020 |a 9780124286603  |q (electronic bk.) 
020 |a 0124286607  |q (electronic bk.) 
020 |a 9781483272047  |q (electronic bk.) 
020 |a 1483272044  |q (electronic bk.) 
035 |a (OCoLC)557561530  |z (OCoLC)297980642  |z (OCoLC)655808503  |z (OCoLC)1100951125  |z (OCoLC)1150802694 
042 |a dlr 
050 4 |a QA297  |b .S847 1982 
072 7 |a MAT  |x 003000  |2 bisacsh 
072 7 |a MAT  |x 029000  |2 bisacsh 
082 0 4 |a 519.4  |2 19 
111 2 |a Symposium on a New Approach to Scientific Computation  |d (1982 :  |c IBM Thomas J. Watson Research Center) 
245 1 2 |a A new approach to scientific computation /  |c edited by Ulrich W. Kulisch, Willard L. Miranker. 
260 |a New York :  |b Academic Press,  |c 1983. 
300 |a 1 online resource (xv, 384 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Notes and reports in computer science and applied mathematics ;  |v 7 
500 |a "Sponsored by IBM"--Title page verso 
504 |a Includes bibliographical references. 
506 |3 Use copy  |f Restrictions unspecified  |5 MiAaHDL  |2 star 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |5 MiAaHDL  |2 pda 
588 0 |a Print version record. 
505 0 |a Front Cover; A New Approach to Scientific Computation; Copyright Page; Dedication; Table of Contents; Contributors; Preface; Acknowledgments; CHAPTER 1. A NEW ARITHMETIC FOR SCIENTIFIC COMPUTATION; 1. INTRODUCTION; 2. THE SPACES OF NUMERICAL COMPUTATIONS; 3. TRADITIONAL DEFINITION OF COMPUTER ARITHMETIC: THE VERTICAL METHOD; 4. THE NEW DEFINITION OF COMPUTER ARITHMETIC: THE HORIZONTAL METHOD; 5. COMPUTER ARITHMETIC AND PROGRAMMING LANGUAGES; 6. REALIZATION AND APPLICATIONS; REFERENCES; CHAPTER 2. COMPUTER DEMONSTRATION PACKAGES FOR STANDARD PROBLEMS OF NUMERICAL MATHEMATICS 
505 8 |a Language extension PASCAL-SCComputing inclusions -- old and new; Precise dot product; Linear Systems; Inversion of a matrix; Eigenproblems; Rounding error and cancellation; Evaluation of a polynomial; Zero of a polynomial; Polynomial package; Arithmetic expressions; Systems of non-linear equations; Differential equations; CHAPTER 3. SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY; INTRODUCTION; 1. COMPUTER ARITHMETIC; 2. LINEAR SYSTEMS; 3. OVER- AND UNDERDETERMINED LINEAR SYSTEMS; 4. LINEAR SYSTEMS WITH BAND MATRICES; 5. SPARSE LINEAR SYSTEMS; 6. MATRIX INVERSION; 7. NON-LINEAR SYSTEMS 
505 8 |a 8. THE ALGEBRAIC EIGENVALUE PROBLEM9. REAL AND COMPLEX ZEROS OF POLYNOMIALS; 10. LINEAR, QUADRATIC AND CONVEX PROGRAMMING; 11. ARITHMETIC EXPRESSIONS; CONCLUSIONS; REFERENCES; CHAPTER 4. EVALUATION OF ARITHMETIC EXPRESSION SWITH MAXIMUM ACCURACY; INTRODUCTION; 1. EVALUATION OF POLYNOMIALS; 2. EVALUATION OF ARBITRARY ARITHMETIC EXPRESSIONS; 3. NUMERICAL RESULTS; REFERENCES; CHAPTER 5. SOLVING FUNCTION SPACE PROBLEMS WITH GUARANTEED CLOSE BOUNDS; 1. INTRODUCTION; 2. MATHEMATICAL PRELIMINARIES; 3. PRACTICAL USE OF THE FIXED POINT THEOREMS; 4. FUNCTIONAL ARITHMETIC AND ROUNDINGS 
505 8 |a 5. ALGORITHMIC EXECUTION OF ITERATIONS6. APPLICATIONS TO DIFFERENTIAL AND INTEGRAL EQUATIONS; 7. SOME EXAMPLES; REFERENCES; CHAPTER 6. ULTRA-ARITHMETIC: THE DIGITAL COMPUTER SET IN FUNCTION SPACE; 1. INTRODUCTION; 2. A REVIEW OF ULTRA-ARITHMETIC; 3. APPLICATIONS OF ULTRA-ARITHMETIC; 4. THE ARITHMETIC OF INTERVALS OF POLYNOMIALS; REFERENCES; CHAPTER 7. A FORTRAN EXTENSION FOR SCIENTIFIC COMPUTATION; 1. MOTIVATION; 2. NOTATION OF THE LANGUAGE EXTENSION; 3. SYNTAX AND SEMANTICS OF THE EXTENSION; REFERENCES; CHAPTER 8. AN INTRODUCTION TO MATRIX PASCAL:A PASCAL EXTENSION FOR SCIENTIFIC COMPUTATION 
505 8 |a A. DATA TYPESB. EXPRESSIONS; C. PROCEDURES, FUNCTIONS, OPERATORS; D. UNIVERSAL OPERATOR CONCEPT; E. EXPRESSIONS WITH MAXIMUM ACCURACY; F. STANDARD FUNCTIONS; REFERENCES; CHAPTER 9. REALIZATION OF AN OPTIMAL COMPUTER ARITHMETIC; 1. INTRODUCTION -- MATHEMATICAL FOUNDATIONS; 2. ORGANIZATION OF THE ARITHMETIC; 3. IMPLEMENTATION OF THE ELEMENTARY OPERATIONS; 4. OPERATIONS IN THE HIGHER SPACES; 5. REALIZATION ON A MICRO COMPUTER; REFERENCES; CHAPTER 10. FEATURES OF A HARDWARE IMPLEMENTATION OF AN OPTIMAL ARITHMETIC; 1. INTRODUCTION; 2. IMPLEMENTATION OF SCALAR PRODUCTS 
520 |a A New Approach to Scientific Computation. 
650 0 |a Numerical analysis  |x Data processing. 
650 0 |a Algebra  |x Data processing. 
650 0 |a Computer arithmetic. 
650 6 |a Arithm�etique interne des ordinateurs.  |0 (CaQQLa)201-0017989 
650 6 |a Analyse num�erique  |0 (CaQQLa)201-0021900  |x Informatique.  |0 (CaQQLa)201-0380011 
650 6 |a Alg�ebre  |0 (CaQQLa)201-0001155  |x Informatique.  |0 (CaQQLa)201-0380011 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Algebra  |x Data processing  |2 fast  |0 (OCoLC)fst00804890 
650 7 |a Computer arithmetic  |2 fast  |0 (OCoLC)fst00872029 
650 7 |a Numerical analysis  |x Data processing  |2 fast  |0 (OCoLC)fst01041279 
650 7 |a Numerische Mathematik  |2 gnd  |0 (DE-588)4042805-9 
650 7 |a Teoria Da Computacao.  |2 larpcal 
653 |a Applied mathematics  |a Numerical analysis  |a Computation 
655 2 |a Congress  |0 (DNLM)D016423 
655 7 |a proceedings (reports)  |2 aat  |0 (CStmoGRI)aatgf300027316 
655 7 |a Conference papers and proceedings  |2 fast  |0 (OCoLC)fst01423772 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congr�es.  |2 rvmgf  |0 (CaQQLa)RVMGF-000001049 
700 1 |a Kulisch, Ulrich. 
700 1 |a Miranker, Willard L. 
710 2 |a International Business Machines Corporation. 
776 0 8 |i Print version:  |a Symposium on a New Approach to Scientific Computation (1982 : IBM Thomas J. Watson Research Center).  |t New approach to scientific computation.  |d New York : Academic Press, 1983  |w (DLC) 83015595  |w (OCoLC)9893444 
830 0 |a Notes and reports in computer science and applied mathematics ;  |v 7. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780124286603  |z Texto completo