Dual sets of envelopes and characteristic regions of quasi-polynomials / Sui Sun Cheng, Yi-Zhong Lin.

Format:

Book

Author/Creator:

Cheng, S. S. (Sui Sun)

Contributor:

Lin, Yizhong, 1955-

Language:

English

Subjects (All):

Functions, Special.

Polynomials.

Physical Description:

1 online resource (236 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2009.

Language Note:

English

Summary:

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and s

Contents:

Preface; Contents; 1. Prologue; 2. Envelopes and Dual Sets; 3. Dual Sets of Convex-Concave Functions; 4. Quasi-Polynomials; 5. C\(0, )-Characteristic Regions of Real Polynomials; 6. C\(0,1)-Characteristic Regions of Real -Polynomials; 7. C\R-Characteristic Regions of r-Polynomials; Appendix A Intersections of Dual Sets of Order 0; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612443077

9781282443075

1282443070

9789814277280

9814277282

OCLC:

613343373