The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations

 Preface
Chapter 1: The Lanczos algorithm in exact arithmetic
Chapter 2: The CG algorithm in exact arithmetic
Chapter 3: A historical perspective on the Lanczos algorithm in finite precision
Chapter 4: The Lanczos algorithm in finite precision
Chapter 5: The CG algorithm in finite precision
Chapter 6: The maximum attainable accuracy
Chapter 7: Estimates of norms of the error in finite precision
Chapter 8: The preconditioned CG algorithm
Chapter 9: Miscellaneous
Appendix
Bibliography
Index