標題: Titlebook: Certificates of Positivity for Real Polynomials; Theory, Practice, an Victoria Powers Book 2021 The Editor(s) (if applicable) and The Autho [打印本頁] 作者: 夾子 時間: 2025-3-21 17:09
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書目名稱Certificates of Positivity for Real Polynomials影響因子(影響力)學科排名
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書目名稱Certificates of Positivity for Real Polynomials網(wǎng)絡公開度學科排名
書目名稱Certificates of Positivity for Real Polynomials被引頻次
書目名稱Certificates of Positivity for Real Polynomials被引頻次學科排名
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書目名稱Certificates of Positivity for Real Polynomials年度引用學科排名
書目名稱Certificates of Positivity for Real Polynomials讀者反饋
書目名稱Certificates of Positivity for Real Polynomials讀者反饋學科排名
作者: 獨特性 時間: 2025-3-21 22:09
Sums of Squares and Positive Polynomials, polynomials and sums of squares, which underlies everything else in the book. This theory has its origins in the work of Hilbert from the late 19th century; Hilbert’s interest in these topics appears to have started when he was an officially appointed “opponent” for Minkowski’s thesis defense on July 30, 1885.作者: aspect 時間: 2025-3-22 01:41 作者: 解凍 時間: 2025-3-22 07:24
Positive Polynomials with Special Structure, that are invariant under a permutation of their variables, and some whose associated Newton polytope is of a special type. For polynomials with special structure, we discuss conditions which imply or characterize when the polynomial is psd, and when it is sos.作者: 嬉耍 時間: 2025-3-22 11:27
Certificates of Positivity for Real Polynomials978-3-030-85547-5Series ISSN 1389-2177 Series E-ISSN 2197-795X 作者: Left-Atrium 時間: 2025-3-22 16:07
Sind Personen mit Demenz palliativbedürftig?ince the square of a real number is always nonnegative. This simple but powerful fact and generalizations of it underlie a large body of theoretical and computational results concerning positive polynomials and sums of squares.作者: Left-Atrium 時間: 2025-3-22 19:46 作者: Creditee 時間: 2025-3-22 23:28 作者: 并入 時間: 2025-3-23 01:29 作者: acquisition 時間: 2025-3-23 09:31
https://doi.org/10.1007/978-3-030-85547-5semialgebraic sets and related spaces; sums of squares; ternary quartics; Polya‘s theorem; Scheiderer‘s 作者: 手術刀 時間: 2025-3-23 13:03
978-3-030-85549-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: Cardioversion 時間: 2025-3-23 15:37 作者: gentle 時間: 2025-3-23 20:45 作者: aqueduct 時間: 2025-3-24 02:14 作者: Lacerate 時間: 2025-3-24 02:37
Sind Personen mit Demenz palliativbedürftig?n language, it says that every real number is bounded above by a natural number: For . there is . so that .. It follows that there are no infinitesimally large or small elements in .; every element is bounded. This idea of bounded elements extends to real commutative rings in a natural way, and it t作者: 梯田 時間: 2025-3-24 07:05 作者: peptic-ulcer 時間: 2025-3-24 14:40 作者: 吹氣 時間: 2025-3-24 15:33 作者: Dignant 時間: 2025-3-24 19:15
Familienzentrierte Trauerbegleitung polynomials positive on a compact semialgebraic set. In this chapter, we look at certificates of positivity on noncompact semialgebraic sets. There the situation is not as well understood and there are many negative results. On the other hand, there are some surprising positive results, including e作者: impale 時間: 2025-3-25 01:49
Nachsorge früh verwaister Elternions use semidefinite programming or similar techniques, which means that the algorithms yield numerical output and thus may not produce an exact polynomial identity. Furthermore, in some cases an exact certificate of positivity may involve irrational numbers, which means that a numerical algorithm 作者: 粘連 時間: 2025-3-25 06:46
Nachsorge früh verwaister Eltern that are invariant under a permutation of their variables, and some whose associated Newton polytope is of a special type. For polynomials with special structure, we discuss conditions which imply or characterize when the polynomial is psd, and when it is sos.作者: 洞察力 時間: 2025-3-25 10:58 作者: 不愿 時間: 2025-3-25 13:21
Appetitlosigkeit und Mangelern?hrungA sum of squares (sos) representation for . is a global certificate of positivity, by which we mean an immediate proof that . is positive semidefinite (psd). In this chapter, we discuss finding and counting sos representations for a given ..作者: pessimism 時間: 2025-3-25 18:41 作者: fender 時間: 2025-3-25 22:20 作者: paragon 時間: 2025-3-26 02:06 作者: 好忠告人 時間: 2025-3-26 07:32
Positive Semidefinite Ternary Quartics,In this chapter we will follow Hilbert and work with forms (homogeneous polynomials) rather than polynomials. Recall that a ternary quartic is a form in . of degree 4.作者: harrow 時間: 2025-3-26 11:17
Victoria PowersIncludes extensive background information for increased accessibility.Contains discussion of computational and algorithmic aspects of the subject.Features an extensive bibliography作者: 怒目而視 時間: 2025-3-26 12:38 作者: Collision 時間: 2025-3-26 19:16
Book 2021tificates of positivity, written by an expert in the field. It provides an overview of both the theory and computational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers 作者: 貝雷帽 時間: 2025-3-26 20:56
1389-2177 putational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers 978-3-030-85549-9978-3-030-85547-5Series ISSN 1389-2177 Series E-ISSN 2197-795X 作者: 本能 時間: 2025-3-27 04:17
Appetitlosigkeit und Mangelern?hrungrepresentation theorem without denominators for a very general class of semialgebraic sets. What is remarkable and surprising about this theorem is that it implies the existence of certificates without denominators regardless of the polynomials . that are used to define the semialgebraic set.作者: 2否定 時間: 2025-3-27 08:40
Sind Personen mit Demenz palliativbedürftig? the existence of certificates depends on choosing the right set of generators; in contrast to Schmüdgen’s Positivstellensatz,??results here are not true for any possible set of generators. Finally, we take a brief look at positivity on curves in the plane.作者: endocardium 時間: 2025-3-27 12:44 作者: Offensive 時間: 2025-3-27 14:44
1389-2177 bject.Features an extensive bibliography.This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives作者: 獨輪車 時間: 2025-3-27 20:37
Sind Personen mit Demenz palliativbedürftig?lly large or small elements in .; every element is bounded. This idea of bounded elements extends to real commutative rings in a natural way, and it turns out that boundedness is the key property that allows for the existence of denominator-free certificates of positivity.作者: 出處 時間: 2025-3-27 22:41
https://doi.org/10.1007/978-3-211-89352-4erent types of representations. Any polytope can be written as a basic closed semialgebraic set ., where . with each . linear such that no three of the .’s intersect in a point, see Sect.?.. We will always assume . is of this type.作者: 潔凈 時間: 2025-3-28 02:26
Familienzentrierte Trauerbegleitunghe situation is not as well understood and there are many negative results. On the other hand, there are some surprising positive results, including examples of noncompact basic closed semialgebraic sets for which the strongest positivity property . holds.作者: AND 時間: 2025-3-28 10:17
The Archimedean Property,lly large or small elements in .; every element is bounded. This idea of bounded elements extends to real commutative rings in a natural way, and it turns out that boundedness is the key property that allows for the existence of denominator-free certificates of positivity.作者: 合同 時間: 2025-3-28 12:25
Positivity on Polytopes,erent types of representations. Any polytope can be written as a basic closed semialgebraic set ., where . with each . linear such that no three of the .’s intersect in a point, see Sect.?.. We will always assume . is of this type.作者: 優(yōu)雅 時間: 2025-3-28 15:17 作者: intoxicate 時間: 2025-3-28 20:41 作者: disparage 時間: 2025-3-29 02:22
The Dimension One Case, the existence of certificates depends on choosing the right set of generators; in contrast to Schmüdgen’s Positivstellensatz,??results here are not true for any possible set of generators. Finally, we take a brief look at positivity on curves in the plane.作者: Brain-Waves 時間: 2025-3-29 04:07
Sums of Squares of Rational Polynomials,will never produce an exact answer. With this in mind, a natural question to ask is the following: Suppose . such that . is sos in ., then can . be written as a sum of squares in .??? As we shall see, in the general case, the answer is “no”. More generally, we can ask these questions replacing . by any subfield of ..作者: colloquial 時間: 2025-3-29 09:36 作者: defeatist 時間: 2025-3-29 11:48 作者: Toxoid-Vaccines 時間: 2025-3-29 17:18
Sums of Squares and Positive Polynomials, polynomials and sums of squares, which underlies everything else in the book. This theory has its origins in the work of Hilbert from the late 19th century; Hilbert’s interest in these topics appears to have started when he was an officially appointed “opponent” for Minkowski’s thesis defense on Ju作者: 微塵 時間: 2025-3-29 20:06
Positivity on Semialgebraic Sets,interested in certificates of positivity for . or . on subsets .. For the most part, we focus on basic closed semialgebraic sets ., i.e., subsets of . defined by finitely many non-strict polynomial inequalities.作者: 河潭 時間: 2025-3-30 00:51
The Archimedean Property,n language, it says that every real number is bounded above by a natural number: For . there is . so that .. It follows that there are no infinitesimally large or small elements in .; every element is bounded. This idea of bounded elements extends to real commutative rings in a natural way, and it t作者: interference 時間: 2025-3-30 05:14 作者: impale 時間: 2025-3-30 09:05
The Dimension One Case,gher dimensional situation, in most cases certificates of positivity exist and there are many examples of saturated preorders.??We begin with the problem of finding certificates of positivity for closed intervals in ., which is well understood; here, certificates of positivity always exist. However,作者: 邊緣帶來墨水 時間: 2025-3-30 13:42
Positivity on Polytopes,ties, see Sect.?.. Polytopes are a particularly nice situation, since certificates of positivity exist in almost all cases, and there are several different types of representations. Any polytope can be written as a basic closed semialgebraic set ., where . with each . linear such that no three of th作者: BALE 時間: 2025-3-30 18:33
