SlideShare ist ein Scribd-Unternehmen logo
1 von 10
Iterative Methods for Systems of Equations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Model Problem
Jacobi Iteration Algorithm ,[object Object],[object Object],[object Object]
Gauss-Seidel Method ,[object Object],[object Object],[object Object]
  Gauss-Seidel  Jacobi
Convergence ,[object Object],[object Object],[object Object]
Model Problem Solution How does operation count compare to Gauss Elimination?
Model Problem Rearranged What is different?
Diagonal Dominance ,[object Object],[object Object],[object Object]
Relaxation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Weitere ähnliche Inhalte

Was ist angesagt?

Multiple Choice Questions - Numerical Methods
Multiple Choice Questions - Numerical MethodsMultiple Choice Questions - Numerical Methods
Multiple Choice Questions - Numerical MethodsMeenakshisundaram N
 
Jacobi iteration method
Jacobi iteration methodJacobi iteration method
Jacobi iteration methodMONIRUL ISLAM
 
Euler's Method
Euler's MethodEuler's Method
Euler's Methoddmidgette
 
Numerical Methods - Power Method for Eigen values
Numerical Methods - Power Method for Eigen valuesNumerical Methods - Power Method for Eigen values
Numerical Methods - Power Method for Eigen valuesDr. Nirav Vyas
 
Solution of non-linear equations
Solution of non-linear equationsSolution of non-linear equations
Solution of non-linear equationsZunAib Ali
 
application of partial differentiation
application of partial differentiationapplication of partial differentiation
application of partial differentiationeteaching
 
Partial differentiation
Partial differentiationPartial differentiation
Partial differentiationTanuj Parikh
 
vector spaces notes.pdf
vector spaces notes.pdfvector spaces notes.pdf
vector spaces notes.pdfjacky489530
 
Numerical differentiation
Numerical differentiationNumerical differentiation
Numerical differentiationandrushow
 
Newton-Raphson Method
Newton-Raphson MethodNewton-Raphson Method
Newton-Raphson MethodJigisha Dabhi
 
Direct and indirect methods
Direct and indirect methodsDirect and indirect methods
Direct and indirect methodsEjaz hussain
 

Was ist angesagt? (20)

Jacobi method
Jacobi methodJacobi method
Jacobi method
 
Multiple Choice Questions - Numerical Methods
Multiple Choice Questions - Numerical MethodsMultiple Choice Questions - Numerical Methods
Multiple Choice Questions - Numerical Methods
 
Jacobi iteration method
Jacobi iteration methodJacobi iteration method
Jacobi iteration method
 
Euler's Method
Euler's MethodEuler's Method
Euler's Method
 
Gauss sediel
Gauss sedielGauss sediel
Gauss sediel
 
Numerical Methods - Power Method for Eigen values
Numerical Methods - Power Method for Eigen valuesNumerical Methods - Power Method for Eigen values
Numerical Methods - Power Method for Eigen values
 
Solution of non-linear equations
Solution of non-linear equationsSolution of non-linear equations
Solution of non-linear equations
 
application of partial differentiation
application of partial differentiationapplication of partial differentiation
application of partial differentiation
 
Partial differentiation
Partial differentiationPartial differentiation
Partial differentiation
 
Secant method
Secant methodSecant method
Secant method
 
Bisection method
Bisection methodBisection method
Bisection method
 
Power method
Power methodPower method
Power method
 
Analytic function
Analytic functionAnalytic function
Analytic function
 
vector spaces notes.pdf
vector spaces notes.pdfvector spaces notes.pdf
vector spaces notes.pdf
 
Secant method
Secant method Secant method
Secant method
 
Newton Raphson
Newton RaphsonNewton Raphson
Newton Raphson
 
Numerical differentiation
Numerical differentiationNumerical differentiation
Numerical differentiation
 
Aitken’s method
Aitken’s methodAitken’s method
Aitken’s method
 
Newton-Raphson Method
Newton-Raphson MethodNewton-Raphson Method
Newton-Raphson Method
 
Direct and indirect methods
Direct and indirect methodsDirect and indirect methods
Direct and indirect methods
 

Andere mochten auch

Andere mochten auch (20)

Jacobi and gauss-seidel
Jacobi and gauss-seidelJacobi and gauss-seidel
Jacobi and gauss-seidel
 
METHOD OF JACOBI
METHOD OF JACOBIMETHOD OF JACOBI
METHOD OF JACOBI
 
Gauss seidel
Gauss seidelGauss seidel
Gauss seidel
 
Metodos interactivos
Metodos interactivosMetodos interactivos
Metodos interactivos
 
Newton Raphson method for load flow analysis
Newton Raphson method for load flow analysisNewton Raphson method for load flow analysis
Newton Raphson method for load flow analysis
 
Khalid sarwar working principle of ewsd exchange 2014
Khalid sarwar working principle of ewsd exchange 2014Khalid sarwar working principle of ewsd exchange 2014
Khalid sarwar working principle of ewsd exchange 2014
 
Convergence Criteria
Convergence CriteriaConvergence Criteria
Convergence Criteria
 
Oop
OopOop
Oop
 
Admission in india 2015
Admission in india 2015Admission in india 2015
Admission in india 2015
 
Andrealozada
AndrealozadaAndrealozada
Andrealozada
 
Chapter 5
Chapter 5Chapter 5
Chapter 5
 
Iterativos Methods
Iterativos MethodsIterativos Methods
Iterativos Methods
 
System of linear equations
System of linear equationsSystem of linear equations
System of linear equations
 
Inheritance
InheritanceInheritance
Inheritance
 
Hierarchical inheritance
Hierarchical inheritanceHierarchical inheritance
Hierarchical inheritance
 
Newton rapson codigos
Newton rapson codigosNewton rapson codigos
Newton rapson codigos
 
inheritance in C++
inheritance in C++inheritance in C++
inheritance in C++
 
02 newton-raphson
02 newton-raphson02 newton-raphson
02 newton-raphson
 
Inheritance
InheritanceInheritance
Inheritance
 
Metodos jacobi y gauss seidel
Metodos jacobi y gauss seidelMetodos jacobi y gauss seidel
Metodos jacobi y gauss seidel
 

Ähnlich wie Linear Systems Gauss Seidel

Interactives Methods
Interactives MethodsInteractives Methods
Interactives MethodsUIS
 
Iterativos methods
Iterativos methodsIterativos methods
Iterativos methodsJeannie
 
Numerical
NumericalNumerical
Numerical1821986
 
Gauss Seidal method.ppt
Gauss Seidal method.pptGauss Seidal method.ppt
Gauss Seidal method.pptMohitBhandwal1
 
lecture-3 laplce and poisson.pptx .
lecture-3 laplce and poisson.pptx                .lecture-3 laplce and poisson.pptx                .
lecture-3 laplce and poisson.pptx .happycocoman
 
A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-optics A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-optics JCMwave
 
A New SR1 Formula for Solving Nonlinear Optimization.pptx
A New SR1 Formula for Solving Nonlinear Optimization.pptxA New SR1 Formula for Solving Nonlinear Optimization.pptx
A New SR1 Formula for Solving Nonlinear Optimization.pptxMasoudIbrahim3
 
The Jacobi and Gauss-Seidel Iterative Methods.pdf
The Jacobi and Gauss-Seidel Iterative Methods.pdfThe Jacobi and Gauss-Seidel Iterative Methods.pdf
The Jacobi and Gauss-Seidel Iterative Methods.pdfTigabu Yaya
 
A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-opticsA machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-opticsJCMwave
 
Introduction to finite element method
Introduction to finite element methodIntroduction to finite element method
Introduction to finite element methodshahzaib601980
 
Optimum Engineering Design - Day 2b. Classical Optimization methods
Optimum Engineering Design - Day 2b. Classical Optimization methodsOptimum Engineering Design - Day 2b. Classical Optimization methods
Optimum Engineering Design - Day 2b. Classical Optimization methodsSantiagoGarridoBulln
 
Systems of Linear Algebra
Systems of Linear AlgebraSystems of Linear Algebra
Systems of Linear AlgebraAyesha Arshad
 
Solution of equations for methods iterativos
Solution of equations for methods iterativosSolution of equations for methods iterativos
Solution of equations for methods iterativosDUBAN CASTRO
 
ngboost.pptx
ngboost.pptxngboost.pptx
ngboost.pptxHadrian7
 
Regression analysis and its type
Regression analysis and its typeRegression analysis and its type
Regression analysis and its typeEkta Bafna
 
Solution of equations and eigenvalue problems
Solution of equations and eigenvalue problemsSolution of equations and eigenvalue problems
Solution of equations and eigenvalue problemsSanthanam Krishnan
 

Ähnlich wie Linear Systems Gauss Seidel (20)

Interactives Methods
Interactives MethodsInteractives Methods
Interactives Methods
 
Iterativos methods
Iterativos methodsIterativos methods
Iterativos methods
 
Numerical
NumericalNumerical
Numerical
 
Gauss Seidal method.ppt
Gauss Seidal method.pptGauss Seidal method.ppt
Gauss Seidal method.ppt
 
lecture-3 laplce and poisson.pptx .
lecture-3 laplce and poisson.pptx                .lecture-3 laplce and poisson.pptx                .
lecture-3 laplce and poisson.pptx .
 
Ijetr021210
Ijetr021210Ijetr021210
Ijetr021210
 
Ijetr021210
Ijetr021210Ijetr021210
Ijetr021210
 
A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-optics A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-optics
 
A New SR1 Formula for Solving Nonlinear Optimization.pptx
A New SR1 Formula for Solving Nonlinear Optimization.pptxA New SR1 Formula for Solving Nonlinear Optimization.pptx
A New SR1 Formula for Solving Nonlinear Optimization.pptx
 
The Jacobi and Gauss-Seidel Iterative Methods.pdf
The Jacobi and Gauss-Seidel Iterative Methods.pdfThe Jacobi and Gauss-Seidel Iterative Methods.pdf
The Jacobi and Gauss-Seidel Iterative Methods.pdf
 
A machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-opticsA machine learning method for efficient design optimization in nano-optics
A machine learning method for efficient design optimization in nano-optics
 
Introduction to finite element method
Introduction to finite element methodIntroduction to finite element method
Introduction to finite element method
 
Optimum Engineering Design - Day 2b. Classical Optimization methods
Optimum Engineering Design - Day 2b. Classical Optimization methodsOptimum Engineering Design - Day 2b. Classical Optimization methods
Optimum Engineering Design - Day 2b. Classical Optimization methods
 
Chapter v
Chapter vChapter v
Chapter v
 
Systems of Linear Algebra
Systems of Linear AlgebraSystems of Linear Algebra
Systems of Linear Algebra
 
Unger
UngerUnger
Unger
 
Solution of equations for methods iterativos
Solution of equations for methods iterativosSolution of equations for methods iterativos
Solution of equations for methods iterativos
 
ngboost.pptx
ngboost.pptxngboost.pptx
ngboost.pptx
 
Regression analysis and its type
Regression analysis and its typeRegression analysis and its type
Regression analysis and its type
 
Solution of equations and eigenvalue problems
Solution of equations and eigenvalue problemsSolution of equations and eigenvalue problems
Solution of equations and eigenvalue problems
 

Kürzlich hochgeladen

Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphThiyagu K
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxVishalSingh1417
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Shubhangi Sonawane
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfSanaAli374401
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxAreebaZafar22
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfJayanti Pande
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docxPoojaSen20
 
Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterMateoGardella
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 
Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.MateoGardella
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingTeacherCyreneCayanan
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.christianmathematics
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 

Kürzlich hochgeladen (20)

Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdf
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docx
 
Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch Letter
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 

Linear Systems Gauss Seidel