TY - BOOK AU - Blum,Lenore TI - Complexity and real computation SN - 0387982817 (hc : alk. paper) U1 - 681.3.06 BLU PY - 1998/// CY - New York PB - Springer KW - Computer science KW - Computational complexity KW - Real-time data processing KW - Computer algorithms KW - Informatique KW - ram KW - Complexité de calcul (Informatique) KW - Temps réel (Informatique) KW - Algorithmes N1 - Includes bibliographical references (p. [431]-445) and index; I; Basic Development; 1; Introduction; 2; Definitions and First Properties of Computation; 3; Computation over a Ring; 4; Decision Problems and Complexity over a Ring; 5; The Class NP and NP-Complete Problems; 6; Integer Machines; 7; Algebraic Settings for the Problem [actual symbol not reproducible]; App. A.1; Basic Notions of Algebraic Geometry --; App. A.2; Additional Comments and Bibliographical Remarks --; II; Some Geometry of Numerical Algorithms; 8; Newton's Method; 9; Fundamental Theorem of Algebra: Complexity Aspects; 10; Bezout's Theorem; 11; Condition Numbers and the Loss of Precision of Linear Equations; 12; The Condition Number for Nonlinear Problems; 13; The Condition Number in P(H[subscript (d)]); 14; Complexity and the Condition Number; 15; Linear Programming; App. B.1; The Main Theorem of Elimination Theory --; App. B.2; Additional Comments and Bibliographical Remarks --; III; Complexity Classes over the Reals; 16; Deterministic Lower Bounds; 17; Probabilistic Machines; 18; Parallel Computations; 19; Some Separations of Complexity Classes; 20; Weak Machines; 21; Additive Machines; 22; Nonuniform Complexity Classes; 23; Descriptive Complexity ER -