Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each orthogonal similarity transformation that is needed to reduce the original matrix A to diagonal form is dependent upon the previous one. The Jacobi iterative method works fine with well-conditioned linear systems. If the linear system is ill-conditioned, it is most probably that the Jacobi method will fail to converge.
First of all Thanks for your support and valuable comments B1 can be chosen because it is largest non diagonal element of A a13= a31 So we choose B1 in the plane [1,3] B2 can be chosen by Taking from D1 The largest non diagonal element is a12= a21 So we take B2 in plane [1,2 ] Are you understand pa?
Thanks for your time and valuable comments Tan 2theta= π/2 π value is 180 Then 180/2= 90 Next tan 2theta π/2 Tan theta = π/2x2 = π/4 180/4=45 Tan 45 value is 1 pa
@@ramyagovindasamy yes mam Using power method to find the dominant eigenvalue and eigenvector of A = -2 -2 -5 1 This is the question mam👆 Thank you for your reply mam🙏
Steps to Find Eigenvalues of a Matrix In order to find eigenvalues of a matrix, following steps are to followed: Step 1: Make sure the given matrix A is a square matrix. Also, determine the identity matrix I of the same order. Step 2: Estimate the matrix A-lamda I , where Lamda is a scalar quantity. Step 3: Find the determinant of matrix A-lamda I and equate it to zero. Step 4: From the equation thus obtained, calculate all the possible values of Lamda which are the required eigenvalues of matrix A.
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Find all the eigenvalues of the matrix [[2, - 1, 0], [- 1, 2, - 1], [0, - 1, 2]] by Jacobi method
Mam this problem upload mam
My mother passed away
So kindly give me some time to solve and upload it
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@ramyagovindasamy ok mam
Thanks for this video ka..🥰
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Hello mam thank you for your vedio I want muller method theorem proof pls mam
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Mam if the diagonal values are not equal what we should do
Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations.
Each orthogonal similarity transformation that is needed to reduce the original matrix A to diagonal form is dependent upon the previous one.
The Jacobi iterative method works fine with well-conditioned linear systems. If the linear system is ill-conditioned, it is most probably that the Jacobi method will fail to converge.
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Your valuable comments is my motivation pa
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Mam how is B1 and B2 decided like B1 (1,3) and B2 (1,2)
First of all
Thanks for your support and valuable comments
B1 can be chosen because it is largest non diagonal element of A
a13= a31
So we choose B1 in the plane [1,3]
B2 can be chosen by
Taking from D1
The largest non diagonal element is
a12= a21
So we take B2 in plane [1,2 ]
Are you understand pa?
@@ramyagovindasamymam ,apa yaen namma a23,a32 edukala?
Mam little confusion to find Theta.. because u mention tan2theta = ¶/2..
After how come theta = ¶/4..it's mean tan theta = ¶/4 or only theta = ¶/4
Thanks for your time and valuable comments
Tan 2theta= π/2
π value is 180
Then 180/2= 90
Next tan 2theta π/2
Tan theta = π/2x2
= π/4
180/4=45
Tan 45 value is 1 pa
Jacobi's method for symmetric matrices for [411 112 121]
I can't understand your question pa
Can you explain in detail pa
Jocobi's method for symmetric matrices topic ... And I gave a matrix below
[a11=4 , a12=1 , a13=1
a21=1 , a22=1 , a23=2
a31=1 , a32=2 , a33=1]
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Mam can u upload a video on newton divided difference .plz mam
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I will upload as soon as possible
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@@ramyagovindasamy I should thank u mam
I uploaded the video
Newton Divided Difference Formula
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Mam pls upload sums by power method
Ma
Can you give one example problem regarding your question
In same Jacobi method ah ma?
@@ramyagovindasamy yes mam
Using power method to find the dominant eigenvalue and eigenvector of A = -2 -2
-5 1
This is the question mam👆
Thank you for your reply mam🙏
Ma
Uploaded power method
Kindly go through it ma
@@ramyagovindasamy thank you soo much mam💕
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How to find exact eigen value
Steps to Find Eigenvalues of a Matrix
In order to find eigenvalues of a matrix, following steps are to followed:
Step 1: Make sure the given matrix A is a square matrix. Also, determine the identity matrix I of the same order.
Step 2: Estimate the matrix
A-lamda I
, where
Lamda
is a scalar quantity.
Step 3: Find the determinant of matrix
A-lamda I
and equate it to zero.
Step 4: From the equation thus obtained, calculate all the possible values of
Lamda
which are the required eigenvalues of matrix A.
Thanks for your support and valuable comments
😢
Thank u very much mam
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