Tridiagonal matrix is one where only nonzero elements

Assignment Help Basic Computer Science
Reference no: EM133234663

IN PYTHON

A tridiagonal matrix is one where the only nonzero elements are the ones on the main diagonal and the ones immediately above and below it. Write a function that solves a linear system whose coefficient matrix is tridiagonal. In this case, Gauss elimination can be made much more efficient because most elements are already zero and don't need to be modified or added. As an example, consider a linear system Ax = b with 100,000 unknowns and the same number of equations. The coefficient matrix A is tridiagonal, with all elements on the main diagonal equal to 3 and all elements on the diagonals above and below it equal to 1. The vector of constant terms b contains all ones, except that the first and last elements are zero. You can use td to find that x1 = -0.10557. Write the code in PYTHON.

Reference no: EM133234663

Questions Cloud

Build database named dbms course project : Build a Database named DBMS Course Project. I am to use Microsoft Access, Open Office, or such to draw the tables.
Create array of elements and instantiate array with colors : Create an array of elements and instantiate the array with colors (strings) - 5 or more colors.
Identify at least two different interactive products : Identify at least two different interactive products available in the market which are designed specifically to elderly for a similar purpose.
Predefined functions : Write a C program that changes a given program so that access is granted only if the user enters any password that would have previously been denied
Tridiagonal matrix is one where only nonzero elements : A tridiagonal matrix is one where the only nonzero elements are the ones on the main diagonal and the ones immediately above and below it.
Selectionsort or quicksort : Jason's assignment is to write either a SelectionSort or a Quicksort. She selects one of the two sorts and implements it correctly.
Distribute hadoop cluster in different regions : How can we effectively distribute Hadoop cluster in different regions (5+ regions)? How would we organize the directory structure in HDFS for serving web conten
Scheduling threads in multithreading system : Which scheduler is responsible for scheduling threads in multithreading system?Describe programmer's role when implementing explicit versus implicit parallelism
Dominant way of working in future : Will working from home become the dominant way of working in the future? Why or why not?.

Reviews

Write a Review

Basic Computer Science Questions & Answers

  Demonstrate your current knowledge of networking

Draw a network. Demonstrate your current knowledge of networking as compared to the knowledge at the beginning of Networking I.

  Own a consulting company that designs installs

Assume you own a consulting company that designs, installs, and maintains wide area networks. You currently have two companies requesting bids for their wide area networks to be installed. You must provide all of the relevant information to the..

  Federal funds rate in the class

We discussed briefly the federal funds rate in the class. Read the Wikipedia entry"Federal funds rate" (https://en.wikipedia.org/wiki/Federal_funds_rate) and answer thefollowing questions.

  Implementation of innovation technologies

Journal article focuses on attribution theory and how it influences the implementation of innovation technologies.

  Relational database to store grades

An instructor has decided that he needs a relational database to store grades. He has defined the following three entities: Student, Course, and Assignment.

  Positive association and negative association

Let's discuss the difference between positive association and negative association when describing the relationship between two variables.

  Explain the damage to the ecosystem

Explain the damage to the ecosystem, including how the abiotic and biotic characteristics of the ecosystem changed - Explain how ecosystems recover naturally based on resilience mechanisms and the theory of secondary succession

  Critical to the system forensics industry

Explain in your own words the importance of report writing and why you believe it is critical to the system forensics industry. Discuss the need for forensic reports when testifying as an expert witness.

  Describe the potential disadvantages of paas and iaas

Define and describe PaaS and IaaS. Describe the potential disadvantages of PaaS and IaaS.

  Determine the velocity of the air flowing across it

What are the wire temperature and voltage if the air velocity is 10 m/s? Neglect radiation and conduction heat transfer from the wire.

  Generate the same hash value

1. A 2,000-bit message is used to generate a 256-bit hash. One the average, how many other messages could be expected to generate the same hash value? What does this tell us about the length of a hash as compared to the length of the message?

  Launch in a particular market

Think about an innovative business model you could "clone" and launch in a particular market.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd