The ε-Algorithm and η-Algorithm for Generalized Inverse Rectangular Matrix Pade Approximants

An axiomatic definition for the generalized inverse matrix Pade approximation (GMPA) is introduced. The matrix rational approximants are of the form of the matrix-valued numerator and the scalar denominator. By means of generalized inverse for matrices, the ε-algorithm for the computation of GMPA is established. The well-known Wynn identity for GMPA is proved on the basis of ε-algorithm. The η-algorithm is defined in a similar way. The equivalence relation between ε-algorithm and η-algorithm is proposed. Some common examples and a numerical example are given to illustrate the methods in this paper.     

Continued Fraction Algorithm for Matrix Exponentials

A recursive rational algorithm for matrix exponentials was botained by making use of the generalized inverse of a matrix in this paper.On the basis of the n-th convergence of thiele-type continued fraction expansion,a new type of the generalized inverse matrix-valued pade approximant(GMPA)for matrix exponentials was defined and its remainder formula was proved.The resuts of this paper were illustrated by some examples.     

Algorithm of heating temperature for Chongqing’s winter greenhouses

Internal temperature is crucial to plant growth in the greenhouse. We investigated the patterns of constructing and managing greenhouses in Chongqing, and developed an algorithm of heating temperature for closed winter plastic greenhouses under the conditions of no man-made illumination, no ventilation and hot wind machine as the heating equipment, which are the most adopted pattern of greenhouses in Chongqing area. The algorithm includes two functions of temperature outside the greenhouse, which calculate the values of the warming estimation coefficient (WEC) and the gap between temperatures inside and outside the greenhouse with the measured data of outside temperature, and then give the value of internal temperature; the heat rating of heating facilities required by a greenhouse can be determined by this algorithm with given values of floor area and internal temperature, measured outside temperature and calculated WEC. Verification of the algorithm demonstrates a desirable accuracy of estimation. Algorithms of computing heating temperature for greenhouses of different constructing and managing patterns and in different geographic conditions can also be derived in a similar way. This research presents a paradigm for developing a feasible method to fit out greenhouses with appropriate heating facilities, aiming at energy efficient and cost efficient production.     

Two Dual Expansions for Generalized Bivariate Thiele-Type Matrix Valued Interpolating Continued Fractions

1introductionInlinearsystemtheory,theproblemofrationalapproximationisanimpoltanttopic.Techniquesfi.omthePad6theoryandcontinuedfractionshavebeenquitesuccessfulinthisrespect,duetothelinearityoftheproblemandtheeaseofcomputation.IfthesystemismuIti-niput-multi…     

An Adaptive Filtering Algorithm and Applications for Orientation Measurement with Gyrotheodolite

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Robust Joint Timing and Frequency Synchronization Algorithm for IEEE802.16e OFDM System

Based on the structures of the short preamble and long preamble,which are defined for synchronization in IEEE802.16e specification,the robust synchronization algorithm for IEEE802.16e OFDM system is proposed.The correlations among the sample sequences in the preamble are investigated,especially the correlation between the first sample sequence and the last sample sequence in the long preamble.The conventional joint timing and frequency synchronization algorithm is reviewed based on the short preamble referring to the algorithm proposed by Schmidl,then a robust joint timing and frequency synchronization algorithm is proposed based on the long preamble.The simulations in the multi-path and frequency selective fading channel show that the proposed algorithm has improved the performances of timing metric plateau,timing offset and synchronization acquisition time even when signal-to-noise ratio is less than-5 dB.     

Shortcut Algorithm for Simulation of Batch Extractive Distillation

The batch extractive distillation (BED) process has the advantages of both batch and extractive distillation. It is one of the most promising means for the separation of azeotropic and close-boiling point systems. However, so far this process has not been applied in industry due to its over-complexity. A new shortcut model was proposed to simulate the operation of the batch extractive distillation operations. This algorithm is based on the assumption that the batch extractive distillation column can be considered as a continuous extractive distillation column with changing feed at any time. Namely, the whole batch process is simulated as a succession of a finite number of steady states of short duration, in which holdup is considered as constant mole. For each period of time the batch extractive distillation process is solved through the algorithm for continuous extractive distillation. Finally, the practical implementation of the shortcut model is discussed and data from the laboratory and literature are presented. It is found that this model has better adaptability, more satisfactory accuracy and less calculative load than previous rigorous model. Hence the algorithm for simulating BED is verified.     

The construction and combined operation for fuzzy consistent matrixes

Fuzziness is one of the general characteristics of human thinking and objective things. Introducing fuzzy techniques into decision-making yields very good results. Fuzzy consistent matrix has many excellent characteristics, especially cen- ter-division transitivity conforming to the reality of the human thinking process in decision-making. This paper presents a new approach for creating fuzzy consistent matrix from mutual supplementary matrix in fuzzy decision-making. At the same time, bas…     

Algorithm for 2D irregular-shaped nesting problem based on the NFP algorithm and lowest-gravity-center principle

INTRODUCTION 2D irregular-shaped nesting problem is the problem of finding an efficient arrangement for pieces in a containing region without overlapping (Fig.1), and is aimed at maximizing use of material. Nesting problem is of great interest to garment, paper, ship building, and sheet metal industries since small improvement of layout can lead to large savings in material. Many effective solutions have been pro- posed for the case when pieces and containing region are both rectangular. …     

Algorithm for 2D irregular-shaped nesting problem based on the NFP algorithm and lowest-gravity-center princlple

The nesting problem involves arranging pieces on a plate to maximize use of material. A new scheme for 2D irregular-shaped nesting problem is proposed. The new scheme is based on the NFP （No Fit Polygon） algorithm and a new placement principle for pieces. The novel placement principle is to place a piece to the position with lowest gravity center based on NFP. In addition, genetic algorithm （GA） is adopted to find an efficient nesting sequence. The proposed scheme can deal with pieces with arbitrary rotation and containing region with holes, and achieves competitive results in experiment on benchmark datasets.     

“The Poetics” as Apology for Poetry and Poets

Plato and Aristotle are both great philosophers in Greek,and Plato is the teacher of Aristotle.But their attitudes to the philosophy and art are quite different from each other.In Plato’s point of view,all poets should be rebelled out of his republic as they will lead the ordinary people to a wrong way;but to Aristotle,poets and the poetry they write should be admired because they will make good effects on the people and the society.This paper is going to discuss about their different attitudes to the so cial function of the poetry in three aspects:the content and the effect of the poetry;the nature of poetry.     

Language and Thought——The Inspiration for Kindergarten Education

Based on the four famous theories of the relationship between language and thought,the author will endeavor to find out the nature between them and apply it to the kindergarten education in the dissertation,aiming at the concrete help to all nursery teachers.     

The Characteristics and Value of Received pronunciation for EFL Students

Every natural language has intrinsic pronunciation variabilIties and differences are likely to appear regionally. In the united Kingdom, for example, English is Spoken in London as well as in Scotland, but with quite different pronunciations. It is also be noted that there exists a close and obvious connection between     

Introduction—The Case for Integration and Collaboration,Reprise

We shall some day be heeded, and when we shall have our amendment to the Constitution of the United States, everybody will think it was always so, just exactly as many young people believe that all the privileges, all the freedom, all the enjoyments which a woman now possesses always were hers (Susan B. Anthony on February 15, 1894). (Sherr, 1995, p. xi)     

Iterative Decoding of Parallel concatenated Block Codes and Coset Based MAP Decoding Algorithm for F24 Code

A multi-dimensional concatenation scheme for block codes is introduced.in which information symbols are interleaved and re-encoded for nmore than once.It provides a convenient platform to design high performance codes with flexible interleaver size,Coset based MAP soft-in/soft-out decoding algorithms are presented for the F24 code.Simulation results show that the propsed coding scheme can achieve high coding gain with flexible interleaver length and very low decoding complexity.     

Liberty and Justice for All? The Paradox of Governmental Rhetoric

Although all organizational discourse (mis)represents various publics' interests it is supposed to represent, this study highlights the paradoxical nature of government rhetoric. Using Cincinnati's announcements of urban renewal as a case study, this essay discusses how the nature of organizational rhetoric opens this form of discourse up to sharper claims of illegitimacy and explores the various ways the nature of city government problematizes organizational rhetoric. Due to its possible condemning nature, especially as it relates to the interests of minority publics and their subsequent marginalization in eminent domain battles, this essay demonstrates the power and, at times, the adverse effects of governmental rhetoric and encourages scholars to engage in future research that further explores the distinguishing characteristics of government rhetoric and the implications surrounding its use.