標(biāo)題: Titlebook: Condition; The Geometry of Nume Peter Bürgisser,Felipe Cucker Book 2013 Springer-Verlag Berlin Heidelberg 2013 complexity.condition numbers [打印本頁] 作者: choleric 時間: 2025-3-21 16:39
書目名稱Condition影響因子(影響力)
書目名稱Condition影響因子(影響力)學(xué)科排名
書目名稱Condition網(wǎng)絡(luò)公開度
書目名稱Condition網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Condition被引頻次
書目名稱Condition被引頻次學(xué)科排名
書目名稱Condition年度引用
書目名稱Condition年度引用學(xué)科排名
書目名稱Condition讀者反饋
書目名稱Condition讀者反饋學(xué)科排名
作者: fidelity 時間: 2025-3-21 20:29 作者: 中國紀(jì)念碑 時間: 2025-3-22 03:13
Book 2013or Smale‘s 17.th. problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming.作者: overture 時間: 2025-3-22 05:22
0072-7830 em.Includes supplementary material: This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. W作者: handle 時間: 2025-3-22 09:00 作者: 撤退 時間: 2025-3-22 14:45
Multi-Version Concurrency Revisited,aking integer (as opposed to real) data. We show that if the entries of . are integer numbers, then one can return a solution with a cost—and since all our data are discrete, we mean bit cost—polynomial in ., . and the bit-size of the largest entry in?..作者: 撤退 時間: 2025-3-22 20:46 作者: 五行打油詩 時間: 2025-3-22 21:33 作者: 冷峻 時間: 2025-3-23 03:16
The Linear Programming Feasibility Problems at least two aspects untouched: the initial feasible point is assumed to be given and there is no hint as how to deduce, at some moment of the process, the optimizers and optimal value..In this chapter we deal with the first of the two aspects above.作者: painkillers 時間: 2025-3-23 07:54
Transaction-Level Power Modeling Methodologyit is possible to recast problems of one kind as problems of the other, and we take advantage of this feature to present an algorithmic solution for the feasibility problem .. We see that again, the condition number . of the data plays a role in the complexity of this solution.作者: 惡心 時間: 2025-3-23 12:26
Interacting with the Execution Agent,tion, we perform in this chapter probabilistic analyses of the GCC condition number, as was done in Chap.?. for the condition number of linear equation solving. We obtain average and smoothed analysis estimates.作者: blithe 時間: 2025-3-23 16:23
Interior-Point Methodsit is possible to recast problems of one kind as problems of the other, and we take advantage of this feature to present an algorithmic solution for the feasibility problem .. We see that again, the condition number . of the data plays a role in the complexity of this solution.作者: 評論性 時間: 2025-3-23 20:50
Probabilistic Analyses of the GCC Condition Numbertion, we perform in this chapter probabilistic analyses of the GCC condition number, as was done in Chap.?. for the condition number of linear equation solving. We obtain average and smoothed analysis estimates.作者: dominant 時間: 2025-3-24 01:26
https://doi.org/10.1007/978-3-642-38896-5complexity; condition numbers; homotopy continuation; linear optimization; probabilistic analysis of alg作者: 大量 時間: 2025-3-24 06:08
978-3-642-44012-0Springer-Verlag Berlin Heidelberg 2013作者: Conjuction 時間: 2025-3-24 07:51 作者: 愛國者 時間: 2025-3-24 14:42
Peter Bürgisser,Felipe CuckerUnique book combining methods from numerical computation and complexity.Excellent pedagogical presentation.Explanation of Smale‘s 17th problem.Includes supplementary material: 作者: 多產(chǎn)子 時間: 2025-3-24 15:43 作者: 尖酸一點 時間: 2025-3-24 19:02 作者: cloture 時間: 2025-3-25 02:53
Using the Web to Process Transactions.)log.+log. point to a loss of approximately (2+.)log. figures of precision independently of the data (.,.), the quantity log.(.), i.e., log∥.∥+log∥..∥, depends on?. and does not appear to be a priori estimable..We already discussed this problem in the Overture, where we pointed to a way out consist作者: 粗鄙的人 時間: 2025-3-25 06:57
Using the Web to Process Transactionsst invariably, the use of .(.) is enough to provide a satisfying explanation of the phenomena observed in practice..The case of triangular systems of linear equations provides, in contrast, an example in which .(.) turns out to be inadequate. Practitioners long observed that triangular systems of eq作者: 厭食癥 時間: 2025-3-25 08:14
The Challenge Posed by Long Transactions this result in full...? ..., .≥., ., . min.∥.?.∥ .............?.. ?□.Replacing the Frobenius norm by the spectral norm, it follows from this backward stability result that the relative error for the computed solution . satisfies . and the loss of precision is bounded by . where .(.,.) is the normwi作者: BOOM 時間: 2025-3-25 12:39
The Transcoop Specification Environment,s that we can find . as the solution of the system .=. with .:=..., ., and .:=.....A key remark at this stage is that by construction, .?is symmetric and positive definite. One may therefore consider algorithms exploiting symmetry and positive definiteness. We do so in this chapter..The algorithms w作者: Hla461 時間: 2025-3-25 16:04 作者: Kinetic 時間: 2025-3-25 20:17
Multi-Version Concurrency Revisited,also be done in terms of ., but in exchange for a loss of simplicity, we obtain bounds linear in . (instead of the quadratic dependence in . of the perceptron algorithm)..We also introduce in this chapter, in its last section, a new theme: the use of condition numbers in the analysis of algorithms t作者: 救護(hù)車 時間: 2025-3-26 02:35
Transactions on Heterogeneous Hardware, more general context of linear programming. Succinctly described, the latter is a family of problems that consist in optimizing (i.e., maximizing or minimizing) a linear function over a set defined by linear . (equalities and/or inequalities)..A first step towards the solution of such a problem req作者: 遠(yuǎn)地點 時間: 2025-3-26 07:58 作者: 龍蝦 時間: 2025-3-26 09:54
Transaction-Level Power Modelingn interior-point method to the latter and obtain an algorithm solving . with a complexity bounded by a low-degree polynomial in .,. and .. A?question conspicuously left open is the solution of the optimization problem itself. The main theorem of Chap.?. provides a key step of this solution but leave作者: osculate 時間: 2025-3-26 13:46 作者: 評論性 時間: 2025-3-26 20:09 作者: Innovative 時間: 2025-3-27 00:18
Interacting with the Execution Agent,ater on, we saw that this quantity occurs in cost estimates for an ellipsoid method finding feasible points in a nonempty cone and for interior-point methods deciding feasibility of polyhedral conic systems. Furthermore, the development in Chap.?. showed that this condition number also plays a centr作者: Constitution 時間: 2025-3-27 04:35
Overview of Transaction Processing,this problem that can be efficiently tackled is that of linear systems of equations. What could be considered the level of difficulty immediately above that for linear systems, the case of quadratic, or more generally, polynomial equations, is substantially more complicated. Even for polynomials in 作者: Feature 時間: 2025-3-27 07:14
Normwise Condition of Linear Equation Solvinghis is called the . of ., and in numerical linear algebra, different ways for computing it are studied. From the QR factorization one obtains the solution of the system .=. by .=... and .=..., where the latter is easily computed by back substitution..The . is an algorithm for computing the QR-decomp作者: MAOIS 時間: 2025-3-27 12:39 作者: 羅盤 時間: 2025-3-27 16:25 作者: 沙文主義 時間: 2025-3-27 20:19
Probabilistic Analysis of Rectangular Matrices this result in full...? ..., .≥., ., . min.∥.?.∥ .............?.. ?□.Replacing the Frobenius norm by the spectral norm, it follows from this backward stability result that the relative error for the computed solution . satisfies . and the loss of precision is bounded by . where .(.,.) is the normwi作者: BRACE 時間: 2025-3-28 00:44 作者: Notorious 時間: 2025-3-28 05:49 作者: 燦爛 時間: 2025-3-28 07:46 作者: 調(diào)色板 時間: 2025-3-28 12:13
Linear Programs and Their Solution Sets more general context of linear programming. Succinctly described, the latter is a family of problems that consist in optimizing (i.e., maximizing or minimizing) a linear function over a set defined by linear . (equalities and/or inequalities)..A first step towards the solution of such a problem req作者: 追蹤 時間: 2025-3-28 15:02 作者: acquisition 時間: 2025-3-28 20:21
The Linear Programming Feasibility Problemn interior-point method to the latter and obtain an algorithm solving . with a complexity bounded by a low-degree polynomial in .,. and .. A?question conspicuously left open is the solution of the optimization problem itself. The main theorem of Chap.?. provides a key step of this solution but leave作者: 乞丐 時間: 2025-3-29 00:16
Condition and Linear Programming Optimizationroblems in standard form, . and . If such an algorithm decides that a triple . is feasible, we may want to compute the optimizers .. and .., as well as the optimal value .., of the pair (SP)–(SD). To do so is the goal of this chapter..An approach to this problem is to apply the interior-point algori作者: Platelet 時間: 2025-3-29 03:18 作者: hemoglobin 時間: 2025-3-29 09:45
Probabilistic Analyses of the GCC Condition Numberater on, we saw that this quantity occurs in cost estimates for an ellipsoid method finding feasible points in a nonempty cone and for interior-point methods deciding feasibility of polyhedral conic systems. Furthermore, the development in Chap.?. showed that this condition number also plays a centr作者: 討厭 時間: 2025-3-29 13:41 作者: OTTER 時間: 2025-3-29 19:26
Using the Web to Process Transactions number for linear equation solving, . where .(.) is defined with respect to the spectral norm and .(.) with respect to the Euclidean norm. Inequality?(*) calls for a deeper understanding of what .(.,.) is than the equality above. The pursuit of this understanding is the goal of this chapter.作者: 平淡而無味 時間: 2025-3-29 21:14 作者: 教唆 時間: 2025-3-30 02:49
Using the Web to Process Transactions matrices are, in general, ill-conditioned. We prove that if . is a lower-triangular matrix whose entries are independent standard Gaussian random variables, then .. This yields an expected loss of precision satisfying . Were the loss of precision in the solution of triangular systems to conform to 作者: 最小 時間: 2025-3-30 07:43
The Challenge Posed by Long Transactionse bounds obtained are independent of?. and depend only on the upper bound on the elongation?./.. Furthermore, surprisingly, they are also independent of?...These results indicate that for large reasonably elongated matrices, one may expect the loss of precision in the solution of least-squares probl
