'Lu factorization' presentation slideshows

Direct Methods for Linear Systems

Direct Methods for Linear Systems. Lecture 3 Alessandra Nardi. Thanks to Prof. Jacob White, Suvranu De, Deepak Ramaswamy, Michal Rewienski, and Karen Veroy. Last lecture review. Formulation of circuit equations Conservation laws (KCL, KVL) Branch constitutive equations (BCE)

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Solution of Sparse Linear Systems

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Solution of Sparse Linear Systems

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Sparse LU Factorization for Parallel Circuit Simulation on GPU

Sparse LU Factorization for Parallel Circuit Simulation on GPU. Ling Ren , Xiaoming Chen, Yu Wang, Chenxi Zhang, Huazhong Yang Department of Electronic Engineering, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University DAC 2012. Outline.

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Scientific Computing

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EE 616 Computer Aided Analysis of Electronic Networks Lecture 3

EE 616 Computer Aided Analysis of Electronic Networks Lecture 3. Instructor: Dr. J. A. Starzyk, Professor School of EECS Ohio University Athens, OH, 45701. 09/12/2007. Review and Outline. Review of the previous lecture * Network scaling * Thevenin/Norton Analysis

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MA/CS 375

MA/CS 375. Fall 2003 Lecture 19. Matrices and Systems. Upper Triangular Systems. Upper Triangular Systems. Volunteer: tell us how to solve this? ( hint: this is not difficult ). Example: Upper Triangular Systems. Upper Triangular Systems. 1) Solve the N th equation

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Solving Scale Linear Systems ( Example system continued )

Solving Scale Linear Systems ( Example system continued ). Lecture 14 MA/CS 471 Fall 2003. Today. We will discuss direct methods for a slightly larger loop current problem as introduced last time.

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MA/CS 375

MA/CS 375. Spring 2002 Lecture 19. Matrices and Systems. Upper Triangular Systems. Upper Triangular Systems. Volunteer: tell us how to solve this? ( hint: this is not difficult ). Example: Upper Triangular Systems. Upper Triangular Systems. 1) Solve the N th equation

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Method of LU Factorization

Method of LU Factorization. Comparison of Strategies. Factorizations. Definition. Example. Example. LU Strategy for Solving Systems. Solve. Solve. Matrix Factorization with Elementary Matrices. Matrix Factorization with Elementary Matrices.

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 17. Reading assignment Chapters 10 and 11, Linear Algebra ClassNotes Last time: Symmetric matrices; Hermitian matrices. Matrix multiplication Today:

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 17. Reading assignment Chapters 10 and 11, Linear Algebra ClassNotes Last time: Symmetric matrices; Hermitian matrices. Matrix multiplication Today:

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CS267 Class Project Suggestions

CS267 Class Project Suggestions. Spring 2013. Class project suggestions. Many kinds of projects Reflects broad scope of field and of students, from many departments Need to do one or more of design / program / measure some parallel application / kernel / software tool / hardware

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Linear Algebra Processor using FPGA

Linear Algebra Processor using FPGA. Jeremy Johnson, Prawat Nagvajara, Chika Nwankpa Drexel University. Goal. To design an embedded FPGA-based multiprocessor system to perform high speed Power Flow Analysis.

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Linear Algebra Processor using FPGA

Linear Algebra Processor using FPGA. Jeremy Johnson, Prawat Nagvajara, Chika Nwankpa Drexel University. Goal. To design an embedded FPGA-based multiprocessor system to perform high speed Power Flow Analysis.

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Basker : A Threaded Sparse LU factorization utilizing Hierarchical Parallelism and Data Layouts

Basker : A Threaded Sparse LU factorization utilizing Hierarchical Parallelism and Data Layouts. Siva Rajamanickam Joshua Booth, Heidi Thornquist Sixth International Workshop on Accelerators and Hybrid Exascale Systems (IPDPS 2016). ShyLU and Subdomain Solvers : Overview. Ifpack2.

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Partial Pivoting and the PA=LU Factorization

Partial Pivoting and the PA=LU Factorization. Grayson Ishihara Math 480 April 15, 2013. What is Partial Pivoting? What is the PA=LU Factorization? What kinds of things can we use these tools for?. Topics at Hand. Used to solve matrix equations

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Introduction to Numerical Analysis I

Introduction to Numerical Analysis I. PA=LU. MATH/CMPSC 455. Partial Pivoting. Why? (1) zeros pivot; (2) swapping rows reduces possibility of rounding errors and poor scaling contaminating the solution. How?

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 15. Last time: Discussion of pivoting Tri-diagonal system solver Examples Today: Symmetric, Hermitian, Positive matrices Matrix multiplication Non-commutative

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Review CS 430/530 Math 448/548 Spring 2014

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