CN102362274A - 方程的线性系统的处理 - Google Patents

方程的线性系统的处理 Download PDF

Info

Publication number
CN102362274A
CN102362274A CN2010800134171A CN201080013417A CN102362274A CN 102362274 A CN102362274 A CN 102362274A CN 2010800134171 A CN2010800134171 A CN 2010800134171A CN 201080013417 A CN201080013417 A CN 201080013417A CN 102362274 A CN102362274 A CN 102362274A
Authority
CN
China
Prior art keywords
vector
data element
matrix
data elements
precision
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN2010800134171A
Other languages
English (en)
Chinese (zh)
Inventor
K·贝卡斯
A·库利奥尼
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
International Business Machines Corp
Original Assignee
International Business Machines Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by International Business Machines Corp filed Critical International Business Machines Corp
Publication of CN102362274A publication Critical patent/CN102362274A/zh
Pending legal-status Critical Current

Links

Images

Classifications

    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/12Simultaneous equations, e.g. systems of linear equations
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Software Systems (AREA)
  • Databases & Information Systems (AREA)
  • Algebra (AREA)
  • General Engineering & Computer Science (AREA)
  • Operations Research (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
CN2010800134171A 2009-03-24 2010-03-03 方程的线性系统的处理 Pending CN102362274A (zh)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
EP09156017 2009-03-24
EP09156017.7 2009-03-24
PCT/IB2010/050912 WO2010109359A2 (en) 2009-03-24 2010-03-03 Processing of linear systems of equations

Publications (1)

Publication Number Publication Date
CN102362274A true CN102362274A (zh) 2012-02-22

Family

ID=42781607

Family Applications (1)

Application Number Title Priority Date Filing Date
CN2010800134171A Pending CN102362274A (zh) 2009-03-24 2010-03-03 方程的线性系统的处理

Country Status (4)

Country Link
US (2) US9032006B2 (https=)
JP (1) JP5570038B2 (https=)
CN (1) CN102362274A (https=)
WO (1) WO2010109359A2 (https=)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107526709A (zh) * 2016-06-15 2017-12-29 辉达公司 使用低精度格式的张量处理

Families Citing this family (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9262380B2 (en) 2013-05-22 2016-02-16 International Business Machines Corporation Calculating node centralities in large networks and graphs
US10083250B2 (en) 2013-05-22 2018-09-25 International Business Machines Corporation Simplification of large networks and graphs
GB2523341A (en) 2014-02-20 2015-08-26 Ibm Iterative refinement apparatus
US10025754B2 (en) 2015-07-22 2018-07-17 International Business Machines Corporation Linear FE system solver with dynamic multi-grip precision
JP6550465B2 (ja) * 2015-08-20 2019-07-24 株式会社日立製作所 情報処理回路
US10209685B2 (en) * 2015-10-29 2019-02-19 Mitsubishi Electric Research Laboratories, Inc. Method and apparatus for preconditioned model predictive control
US10997492B2 (en) * 2017-01-20 2021-05-04 Nvidia Corporation Automated methods for conversions to a lower precision data format
US11495038B2 (en) 2020-03-06 2022-11-08 International Business Machines Corporation Digital image processing
US11556852B2 (en) * 2020-03-06 2023-01-17 International Business Machines Corporation Efficient ground truth annotation
US11494588B2 (en) 2020-03-06 2022-11-08 International Business Machines Corporation Ground truth generation for image segmentation
CN111475475A (zh) * 2020-04-01 2020-07-31 中国人民解放军火箭军工程大学 一种数据矩阵的差异化压缩存储模型
CN113375568B (zh) * 2021-05-12 2023-03-31 苏州阿普奇物联网科技有限公司 一种基于激光扫描的金属拉丝抛光不良检测方法
US11907715B2 (en) 2021-12-20 2024-02-20 International Business Machines Corporation Hardware acceleration with preconditioners

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP4311741B2 (ja) * 2004-12-15 2009-08-12 キヤノン株式会社 情報処理装置、情報処理方法
US8175853B2 (en) * 2008-03-28 2012-05-08 International Business Machines Corporation Systems and methods for a combined matrix-vector and matrix transpose vector multiply for a block-sparse matrix
US8577949B2 (en) * 2009-07-07 2013-11-05 L-3 Communications Integrated Systems, L.P. System for conjugate gradient linear iterative solvers

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107526709A (zh) * 2016-06-15 2017-12-29 辉达公司 使用低精度格式的张量处理
US12299577B2 (en) 2016-06-15 2025-05-13 Nvidia Corporation Tensor processing using low precision format

Also Published As

Publication number Publication date
JP5570038B2 (ja) 2014-08-13
WO2010109359A3 (en) 2011-06-30
US20120005247A1 (en) 2012-01-05
US9424232B2 (en) 2016-08-23
JP2012521591A (ja) 2012-09-13
US9032006B2 (en) 2015-05-12
US20150242363A1 (en) 2015-08-27
WO2010109359A2 (en) 2010-09-30

Similar Documents

Publication Publication Date Title
CN102362274A (zh) 方程的线性系统的处理
US6138135A (en) Propagating NaNs during high precision calculations using lesser precision hardware
US12299577B2 (en) Tensor processing using low precision format
TWI715589B (zh) 用於在執行浮點運算時控制捨入的裝置及方法
US20170061279A1 (en) Updating an artificial neural network using flexible fixed point representation
US10579338B2 (en) Apparatus and method for processing input operand values
JP2012069116A (ja) ベクトル浮動小数点引数削減
US20140195581A1 (en) Fixed point division circuit utilizing floating point architecture
CN108897716B (zh) 通过存储器读写操作来缩减计算量的数据处理装置及方法
JP2022519258A (ja) アンカーデータ要素における特殊値の符号化
CN110858137B (zh) 除以整数常数的浮点除法
CN111638925B (zh) 一种接口方法表生成方法、函数指针查询方法及装置
EP3912272B1 (en) Anchored data element conversion
CN113342671B (zh) 对运算模块进行验证的方法、装置、电子设备和介质
CN120378636A (zh) 基于随机奇异值分解的图像压缩方法、装置、设备及介质
JPH0687218B2 (ja) 浮動小数点数演算処理装置及び除数倍数生成装置
JP6064435B2 (ja) 演算回路、演算処理装置、及び除算方法
Yao et al. On hardware-efficient inference in probabilistic circuits
US8745118B2 (en) Verifying floating point square root operation results
CN113761822B (zh) 采用迭代计算的模数运算电路
EP0888586A1 (en) Array indexing
CN115291834B (zh) N进制浮点加法运算系统与方法
US20090094306A1 (en) Cordic rotation angle calculation
US20240168662A1 (en) Computer-implemented method for the efficient generation of a large volume of configuration data
US20240069868A1 (en) Mac operator related to correcting a computational error

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C12 Rejection of a patent application after its publication
RJ01 Rejection of invention patent application after publication

Application publication date: 20120222