UID:
almafu_9958110722502883
Format:
1 online resource (433 p.)
Edition:
3rd ed.
ISBN:
1-281-76879-0
,
9786611768799
,
0-08-087317-0
Series Statement:
Pure and applied mathematics (Academic Press) ; 9
Content:
Spectral Theory of Random Matrices
Note:
Description based upon print version of record.
,
Front Cover; SOLUTION OF EQUATIONS IN EUCLIDEAN AND BANACH SPACES; Copyright Page; Contents; Preface to the Third Edition; List of Notations and Abbreviations; CHAPTER 1A. DIVIDED DIFFERENCES; CHAPTER 1B. CONFLUENT CASE. INTERPOLATION; CHAPTER 2. INVERSE INTERPOLATION . DERIVATIVES OF THE INVERSE FUNCTION . ONE INTERPOLATION POINT; CHAPTER 3. METHOD OF FALSE POSITION (REGULA FALSI); CHAPTER 4. ITERATION; CHAPTER 5. FURTHER DISCUSSION OF ITERATIONS. MULTIPLE ZEROS; CHAPTER 6. THE NEWTON-RAPHSON METHOD; CHAPTER 7. FUNDAMENTAL EXISTENCE THEOREMS IN THE N EWTON-RAPHSON ITERATI ON
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CHAPTER 8. AN ANALOG OF THE NEWTON-RAPHSON METHOD FOR MULTIPLE ROOTSCHAPTER 9. FOURIER BOUNDS FOR THE NEWTON-RAPHSON ITERATION; CHAPTER 10. DANDELIN BOUNDS FOR THE NEWTON-RAPHSON ITERATION; CHAPTER 11. THREE INTERPOLATION POINTS; CHAPTER 12. LINEAR DIFFERENCE EQUATIONS; CHAPTER 13. n DISTINCT POINTS OF INTERPOLATION; CHAPTER 14. n+l COINCIDENT INTERPOLATION POINTS AND TAYLOR DEVELOPMENT OF THE ROOT; CHAPTER 15. THE SQUARE ROOT ITERATION; CHAPTER 16. FURTHER DISCUSSION OF SQUARE ROOT ITERATION; CHAPTER 17. A GENERAL THEOREM ON ZEROS OF INTERPOLATING POLYNOMIALS
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CHAPTER 18. APPROXIMATION OF EQUATIONS BY ALGEBRAIC EQUATIONS OF A GIVEN DEGREE. ASYMPTOTIC ERRORS FOR SIMPLE ROOTSCHAPTER 19. NORMS OF VECTORS AND MATRICES; CHAPTER 20. TWO THEOREMS ON CONVERGENCE OF PRODUCTS OF MATRICES.; CHAPTER 21. A THEOREM ON DIVERGENCE OF PRODUCTS OF MATRICES; CHAPTER 22. CHARACTERIZATION OF POINTS OF ATTRACTION AND REPULSION FOR ITERATIONS WITH SEVERAL VARIABLES; CHAPTER 23. EUCLIDEAN NORMS; CHAPTER 24. MINKOWSKI NORMS, Δp(A), Δp,p'(A); CHAPTER 25. METHOD OF STEEPEST DESCENT. CONVERGENCE OF THE PROCEDURE
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CHAPTER 26. METHOD OF STEEPEST DESCENT. WEAKLY LINEAR CONVERGENCE OF THE ζ μCHAPTER 27. METHOD OF STEEPEST DESCENT. LINEAR CONVERGENCE OF THE ζ μ; CHAPTER 28. CONVERGENT PROCEDURES FOR POLYNOMIAL EQUATIONS; CHAPTER 29. J-TEST AND J-ROUTINE; CHAPTER 30. q-ACCELERATION. THE PRACTICE OF THE PROCEDURE; CHAPTER 31. NORMED LINEAR SPACES; CHAPTER 32. METRIC SPACES; CHAPTER 33. OPERATORS IN NORMED LINEAR SPACES; CHAPTER 34. INVERSE OPERATORS; CHAPTER 35. OPERATORS MAPPING A LINEAR INTERVAL; CHAPTER 36. THE DIRECTIONAL DERIVATIVES AND GRADIENTS OF OPERATORS; CHAPTER 37. CENTRAL EXISTENCE THEOREM
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CHAPTER 38. NEWTON-RAPHSON ITERATION IN BANACH SPACES. STATEMENT OF THE THEOREMSCHAPTER 39. PROOF OF THEOREMS 38.1-38.3; CHAPTER 40. COMPLEMENTS TO THE NEWTON-RAPHSON METHOD; CHAPTER 41. CENTRAL EXISTENCE THEOREM FOR FINITE SYSTEMS OF EQUATIONS; CHAPTER 42. NEWTON-RAPHSON ITERATION FOR FINITE SYSTEMS OF EQUATIONS; APPENDICES; Bibliographical Notes; Index
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English
Additional Edition:
ISBN 0-12-530260-6
Language:
English
