Collected Papers of Stephen Smale, the - Volume 3 [Illustrated] 9810249934, 9789810249939
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calc
184 68 6MB
English Pages 660 [654] Year 2000
Table of contents :
Front matter
On the Work of Steve Smale on the Theory of Computation
The Work of Steve Smale on the Theory of Computation: 1990–1999
On Algorithms for Solving f(x) = 0
The Fundamental Theorem Of Algebra And Complexity Theory
Computational Complexity: On the geometry of polynomials and a theory of cost: Part I
On The Efficiency Of Algorithms Of Analysis
Computational Complexity: On The Geometry Of Polynomials And A Theory Of Cost: Ii
On the Existence of Generally Convergent Algorithms
Newton's Method Estimates From Data At One Point
On the Topology of Algorithms, I
Algorithms for Solving Equations
The Newtonian Contribution to Our Understanding of the Computer
On A Theory Of Computation And Complexity Over The Real Numbers: Np-Completeness, Recursive Functions And Universal Machines
Some Remarks On The Foundations Of Numerical Analysis
Theory of Computation
Complexity Of Bezout's Theorem. I: Geometric Aspects
Complexity Of Bezout's Theorem Ii: Volumes And Probabilities
Complexity of Bezout's Theorem: Iii. Condition Number and Packing
Complexity Of Bezout's Theorem Iv: Probability Of Success; Extensions
Complexity of Bezout's theorem V: Polynomial time
The Gödel Incompleteness Theorem and Decidability over a Ring
Separation of complexity classes in Koiran's weak model
On The Intractability Of Hilbert's Nullstellensatz And An Algebraic Version Of “Np ≠ P?”
Complexity And Real Computation: A Manifesto
Algebraic Settings for the Problem “P ≠ Np?”
Complexity theory and numerical analysis
Some Lower Bounds for the Complexity of Continuation Methods
A Polynomial Time Algorithm for Diophantine Equations in One Variable
Complexity Estimates Depending on Condition and Round-off Error
Front matter
On the Work of Steve Smale on the Theory of Computation
The Work of Steve Smale on the Theory of Computation: 1990–1999
On Algorithms for Solving f(x) = 0
The Fundamental Theorem Of Algebra And Complexity Theory
Computational Complexity: On the geometry of polynomials and a theory of cost: Part I
On The Efficiency Of Algorithms Of Analysis
Computational Complexity: On The Geometry Of Polynomials And A Theory Of Cost: Ii
On the Existence of Generally Convergent Algorithms
Newton's Method Estimates From Data At One Point
On the Topology of Algorithms, I
Algorithms for Solving Equations
The Newtonian Contribution to Our Understanding of the Computer
On A Theory Of Computation And Complexity Over The Real Numbers: Np-Completeness, Recursive Functions And Universal Machines
Some Remarks On The Foundations Of Numerical Analysis
Theory of Computation
Complexity Of Bezout's Theorem. I: Geometric Aspects
Complexity Of Bezout's Theorem Ii: Volumes And Probabilities
Complexity of Bezout's Theorem: Iii. Condition Number and Packing
Complexity Of Bezout's Theorem Iv: Probability Of Success; Extensions
Complexity of Bezout's theorem V: Polynomial time
The Gödel Incompleteness Theorem and Decidability over a Ring
Separation of complexity classes in Koiran's weak model
On The Intractability Of Hilbert's Nullstellensatz And An Algebraic Version Of “Np ≠ P?”
Complexity And Real Computation: A Manifesto
Algebraic Settings for the Problem “P ≠ Np?”
Complexity theory and numerical analysis
Some Lower Bounds for the Complexity of Continuation Methods
A Polynomial Time Algorithm for Diophantine Equations in One Variable
Complexity Estimates Depending on Condition and Round-off Error
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9810249934, 9789810249939](https://ebin.pub/img/200x200/collected-papers-of-stephen-smale-the-volume-3-illustrated-9810249934-9789810249939.jpg)
- Author / Uploaded
- Roderick S C Wong (editor)
- Felipe Cucker (editor)
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