Introduction to Interval ComputationThis book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material. |
Contents
Real Interval Arithmetic | 1 |
Further Concepts and Properties | 10 |
Machine Interval Arithmetic | 39 |
Copyright | |
17 other sections not shown
Common terms and phrases
a₁ a₂ Alefeld ALGOL 60 Am(X Angew Apostolatos approximation assume B₁ b₂ bilinear operators bounds C₁ calculated Chapter complete induction complex interval components Computing consider convergence Corollary defined Definition diagonal eigenvalues einige Anwendungen elements example FOR'I FOR'J function Furthermore Gaussian algorithm given Gleichungssysteme Herzberger holds Horner scheme including intervals inclusion monotonicity inequality intersection Interval Analysis interval arithmetic interval evaluation interval matrix interval operations interval vector Intervallarithmetik Intervallrechnung inverse iteration method iteration procedure Iterationsverfahren Karlsruhe Kulisch Lemma linear m₁ machine interval arithmetic manner Math matrix norm Mech Newton's method nonsingular obtains Ortega and Rheinboldt parameter point matrix polynomial proof properties prove R. E. Moore r₁ r₂ Ratschek real interval real numbers resp Rokne satisfies sequence single step method solution spectral radius statements system of equations total step method Univ valid Varga width Y₁ zero