PROCESSING OF LINEAR SYSTEMS OF EQUATIONS
    1.
    发明申请
    PROCESSING OF LINEAR SYSTEMS OF EQUATIONS 审中-公开
    线性方程组的处理

    公开(公告)号:WO2010109359A3

    公开(公告)日:2011-06-30

    申请号:PCT/IB2010050912

    申请日:2010-03-03

    CPC classification number: G06F17/12 G06F17/16

    Abstract: Apparatus and computer programs are provided for generating n high-precision data elements corresponding to an nx1 vector x satisfying Ax = b where A is a symmetric, positive- definite nxn matrix corresponding to nxn predefined high-precision data elements and b is an nx1 vector corresponding to n predefined high-precision data elements. The apparatus (1) comprises memory (3) for storing input data defining the data elements of matrix A and of vector b, and control logic (2). In a first processing step (a), the control logic (2) implements a first iterative process for generating from the input data n low-precision data elements corresponding to an nx1 vector x1 satisfying A1x1 = b1. Here, A1 is an nxn matrix corresponding to the nxn data elements of matrix A in low precision and bi is an nx1 vector corresponding to the nx1 data elements of vector b in low precision. The control logic (2) terminates the first iterative process on occurrence of a first convergence condition. In a step (b), the control logic converts the data elements of vector x1 to high-precision data elements to obtain a current solution vector x. In a step (c), control logic (2) implements a second iterative process for generating n low-precision data elements corresponding to an nxl correction vector dependent on the difference between the vector b and the vector product Ax. The control logic (2) terminates the second iterative process on occurrence of a second convergence condition. In a step (d), control logic (2) produces from the n low-precision data elements of the correction vector respective high-precision data elements of an nx1 update vector u, and then, in a step (e), updates the data elements of the current solution vector x such that x = x + u. The control logic (2) performs steps (c) to (e) until occurrence of a third convergence condition.

    Abstract translation: 提供装置和计算机程序用于产生对应于满足Ax = b的nx1向量x的n个高精度数据元素,其中A是对应于nxn个预定义的高精度数据元素的对称正定nxn矩阵,b是nx1向量 对应于n个预定义的高精度数据元素。 装置(1)包括用于存储定义矩阵A和向量b以及控制逻辑(2)的数据元素的输入数据的存储器(3)。 在第一处理步骤(a)中,控制逻辑(2)执行第一迭代处理,用于从输入数据生成与满足A1x1 = b1的nx1向量x1相对应的低精度数据元素。 这里,A1是与精度较低的矩阵A的n×n个数据元素相对应的n×n矩阵,bi是与向量b的n×1个数据元素相对应的n×1向量,精度低。 控制逻辑(2)在出现第一收敛条件时终止第一迭代过程。 在步骤(b)中,控制逻辑将矢量x1的数据元素转换为高精度数据元素,以获得当前解向量x。 在步骤(c)中,控制逻辑(2)执行第二迭代处理,用于根据向量b和向量积Ax之间的差产生对应于nxl校正向量的n个低精度数据元素。 控制逻辑(2)在发生第二收敛条件时终止第二迭代处理。 在步骤(d)中,控制逻辑(2)从校正矢量的n个低精度数据元素产生n×1更新向量u的各个高精度数据元素,然后在步骤(e)中更新 当前解向量x的数据元素使得x = x + u。 控制逻辑(2)执行步骤(c)至(e),直到出现第三收敛条件。

    ELECTROLUMINESCENT DEVICE AND ORGANIC MATERIAL USED THEREFOR

    公开(公告)号:JP2001081454A

    公开(公告)日:2001-03-27

    申请号:JP2000209318

    申请日:2000-07-11

    Applicant: IBM

    Abstract: PROBLEM TO BE SOLVED: To obtain an organic material which exhibits an increased intrinsic luminescence of organic molecular unit by substituting a plurality of specific positions of a base unit comprising tris(8-quinolinlato)aluminum (111) are substituted with electron-donating groups and simultaneously by substituting a specified position of the unit with an electron-accepting group or a p- nonlocalized group. SOLUTION: This organic material comprises units each of which is formed by substituting the 3-and 4-positions of tris(8-quilinolinolato)aluminum (111) with electron-donating groups and simultaneously by substituting the 5-position with an electron-accepting groups. The electron-donating group is selected from among -R'R"R''', -NR2, and OR. The electron-accepting group or the p- nonlocalized group is selected from among -CX3, -CX2-CX3, -SO3R, -CR=CR2, -CX=CX2, and-COOM. A preferable electron-donating group is -CH3; and a preferable electron-accepting group is -CF=CF2. In the formulas, R, R', and R" are each H or alkyl; R''' is alkyl; X is F, Cl or Br; and M is a metal ion.

    Iterative refinement apparatus
    5.
    发明专利

    公开(公告)号:GB2523341A

    公开(公告)日:2015-08-26

    申请号:GB201403018

    申请日:2014-02-20

    Applicant: IBM

    Abstract: An iIterative refinement apparatus is provided for generating data defining a solution vector x for a linear system represented by Ax = b, where A is a predetermined matrix and b is a predetermined vector. An outer solver (2, Fig 1) processes input data, defining the matrix A and vector b, in accordance with an outer loop of an iterative refinement method to generate said data defining the solution vector x. An inner solver (3, Fig 1) processes data items in accordance with an inner loop of the iterative refinement method. The inner solver is operable for processing said data items having variable bit-width and data format. A precision controller (4, Fig 1) determines the bit-widths and data formats of the data items adaptively in dependence on results of processing steps during progress of the iterative refinement method. The precision controller 4 is adapted to control operation of the inner solver 3 for processing said data items with the bit-widths and data formats so determined.

    Photovoltaikeinheit mit Bandstoppfilter

    公开(公告)号:DE112013001688T5

    公开(公告)日:2014-12-11

    申请号:DE112013001688

    申请日:2013-04-29

    Abstract: Es wird eine Photovoltaikeinheit (10a bis 10e) offenbart, aufweisend: ein lichtabsorbierendes Material (34, 35), welches ein amorphes Halbleitermaterial ist; und eine Bandstoppfilterstruktur (20) mit einem gegebenen Stoppband, wobei die Struktur in Bezug auf das lichtabsorbierende Material so eingerichtet ist, dass elektromagnetische Strahlung gedämpft wird, die das lichtabsorbierende Material erreicht und Winkelfrequenzen ω* innerhalb des Stoppbands aufweist, wobei das Stoppband elektronischen Anregungen ħω* aus Valenzbandrand(VBT)-Zuständen des amorphen Materials in Leitungsbandrand(CBT)-Zustände des amorphen Materials entspricht.

    ELECTROLUMINESCENT MATERIALS
    8.
    发明专利

    公开(公告)号:GB2351974A

    公开(公告)日:2001-01-17

    申请号:GB0016088

    申请日:2000-07-03

    Applicant: IBM

    Abstract: The invention relates to tris(8-quinolinolato)aluminum(III) (Alq 3 ) . This Alq 3 is substituted in the 3- or 4- position with an electron-donor group and simultaneously in the 5-position with an electron-acceptor or p-delocalizing group. Using this material as an emitting luminescent layer, the efficiency of the intrinsic luminescense can be greatly enhanced.

    Conjugate gradient solvers for linear systems

    公开(公告)号:GB2523342A

    公开(公告)日:2015-08-26

    申请号:GB201403019

    申请日:2014-02-20

    Applicant: IBM

    Abstract: Conjugate gradient solver apparatus 2 is provided for generating data defining a solution vector x for a linear system represented by Ax = b where A is a predetermined matrix and b is a predetermined vector. Solver circuitry 6 of the apparatus processes input data, defining said matrix A and vector b, in accordance with an iterative conjugate gradient method to generate said data defining the solution vector x. The solver circuitry is adapted to process data items, corresponding to vectors used in said conjugate gradientmethod, having a variable fixed-point data format. A precision controller 7 of the apparatus determines the fixed-point data formats of respective said data items adaptively during progress of the conjugate gradient method in the solver circuitry 6. The solver apparatus may be implemented by a field programmable gate array (FPGA). The adaptive fixed-point format variation allows good results to be achieved while exploiting the simple, fast, and power-efficient operations available with fixed-point processing.

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