Tridiagonal Systems in MATLAB |

[@MATLABHelper]

Join our premium course on Numerical Methods at mlhp.link/NumericalMethods/ Read this & adjoining lesson at matlabhelper.com/course/numericalmethods-c5l5-tridiagonal-systems-using-gauss-elimination/ for codes & explanation. 0:00 Introduction 0:08 Understanding Tridiagonal Systems 1:50 MATLAB code to implement Tridiagonal Systems

[@BestVideos01]

function x = Tridiag(e,f,g,r) | Error: Function definitions are not permitted in this context.

[@MATLABHelper]

Is the code just of one line, Was it executed by Run button or through command window? It would be best if you send some snapshot of what you are doing to [e-mail] and we will surely guide you

[@archit.saxena]

We often encounter #tridiagonal matrices in statistical physics, quantum mechanics and rotational physics as well. This video explains the definition precisely and with brevity. Being able to work out a MATLAB code to solve tridiagonal systems is very useful and comes handy.

[@MATLABHelper]

Archit Saxena, Glad to see your appreciation for our Video. Do support us by Subscribing to our KZbin Channel at kzbin.info

[@anishgupta8712]

#Triangle_Diagonal_Matrix is a matrix with a band of only 3 elements in each row rest all elements are 0. In tutorial the sub & super diagonal elements are made as -1 and then solved. We can also use #Thomas algorithm to solve tri-diagonal system which converts the band into 2 element form where diagonal elements are made as 1 and super diagonal matrix is put up for calculation. As for loop it will be there depending on number of rows in the matrix, if it is small loop can be avoided too. Thanks for the explanation.

[@MATLABHelper]

Good Insight

[@dishanikam2919]

System has #bandwidth of three.Consider,f=#diagonal vectors,e=#subdiagonal vectors,g=#superdiagonal vectors,r=#right hand side vectors.In first step we have to define function x=#tridiag(e,f,g,r).Where x is a #solution vector.Define n as length of f i.e. #n=length(f).Uses #forward elimination and then #back substitution.It uses #fprintf() function to print the value.

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[@HarpreetSingh-xp3ss]

Overall the video explains the concept properly with a brief introduction. a little modification can be added (like explanation of the syntax of the for loop) Apart from this video editing is just great and it is easy for a learner to learn the concept with that good video editing and the soundtrack which does not make you feel bored.

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Harpreet Singh, Glad to see your appreciation for our Video. Do support us by Subscribing to our KZbin Channel at kzbin.info

[@rajasekargopalsamy4964]

These type of Matrices are called #Banded matrics. They come across many application #for eg: Central difference method in Finite Difference Method. Special algorithms can be written for Banded Matrices to save time and memory space in solving such systems. #These special algorithms basically rely on making use of the memory space occupied by zeros. #Tridiagonal Matrices are Banded matrices with #bandwidth =3 and semi bandwidth =1

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[@TheDavedeejay]

Awesome!! Many thanks!!

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TheDavedeejay, Glad to see your appreciation for our Video. Cheers & Happy MATLABing!

[@souvikkundu7735]

Nice video, concept is Crystal clear

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[@matthewcharles9829]

Thank you! this really helped me

[@MATLABHelper]

Glad to know it was helpful

[@ajsagulhameed8739]

Crystal clear explanation...

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[@DrSTM1982]

Very clear .. very useful .. Many thanks for this great explanation

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[@bhagyakasam1785]

Clear explanation i got little idea about this

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[@pushpagautam1700]

Dear sir, this video is really good to understand theory. I followed the MATLAB code exactly as you did but after the last step instead of output the computer says "undefined function 'Tridiag' for input arguments of type 'double' " .So how can I solve the problem? I am hoping you will help me.

[@MATLABHelper]

Pushpa Gautam, Glad to see your appreciation for our Video. Do support us by Subscribing to our KZbin Channel at kzbin.info For your query, you can refer to the code and explanation at lms.matlabhelper.com/course/numericalmethods-c5l5-tridiagonal-systems-using-gauss-elimination/ or get in touch with us directly. Cheers and All the best!

[@anniepriya9618]

Nice and useful video

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[@sibasishdhibar9173]

Sir how to solve tridiagonal but the tridiagonal matrix is in the form of block matrix???

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[@tenoriobritto8268]

Awesome!!!

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[@tenoriobritto8268]

@@MATLABHelper can you do a tutorial of pentadiang solve?

[@MATLABHelper]

@@tenoriobritto8268 Sure, We may take time for a new video as our focus is currently on our in-house research project, but we will surely be adding new tutorials as per request. You may request your help at mlhp.link/contact

[@ABCTV147]

hey, my system in chinese language and i have installed matlab in english version but its does not showing comments in from other language. can you plz help ?

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[@МишаКасьянов-й5я]

the best !

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[@RavindraKempaiah]

Hi there, I keep getting this error. Could you please help? Error in GaussCubicSpline (line 10) n=length(f);

[@ginabehrang]

I have the same. Did you figure it up?

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Ravindra Kempaiah, Do write to us with your requirement at [e-mail] or You can start online chat at our website. Don't forget to Subscribe to our KZbin Channel. Happy MATLABing!

[@vrkforever9012]

clear explanation sir......

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[@yemmeprasanna7205]

Thanks for this video. I got some idea about it after watching this.

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[@sibasishdhibar9173]

hello, sir how to solve the Tridiagonal block matrix for finite matrix???

[@MATLABHelper]

SIBASISH DHIBAR, Do write to us with your requirement at [e-mail] or You can start online chat at our website. Don't forget to Subscribe to our KZbin Channel. Happy MATLABing!

[@shrutijoshi5047]

Good explanation

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[@zengalex6951]

Hey! Can you please explain why vector e starts with 0?

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[@AdityaTiwari-le9oe]

Thanks bro , helped me a lot in iit

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[@dynamicdonut2442]

I followed every step, but I get an "index exceeds the number of array elements" error and an error in line 17 :/

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[@arathireddyb3943]

The problem given is nice intresting topic

[@MATLABHelper]

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[@bharathbharadwaj5171]

I got a small idea about it !! But without using #for loop !! Can we have another type to program this!!

[@souvikkundu7735]

Bharath bharadwaj yeah you can....there are n number of process to solve a problem...

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Bharath bharadwaj, Do write to us with your requirement at [e-mail] or You can start online chat at our website. Don't forget to Subscribe to our KZbin Channel. Happy MATLABing!

[@sindhujapolineni2926]

well explained

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[@XclusiVvHD]

Can I get an explanation for the formula for f2 and r2?

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[@nurchowdhury1008]

Very useful , thank you :)

[@MATLABHelper]

+Nur Chowdhury Thanks for appreciating. Do check our other videos as well

[@ASHISHPATEL-nu1ig]

i tried to solve a 6x6 Tridiagonal matrix it results in error.

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ASHISH PATEL, Do write to us with your requirement at [e-mail] or You can start online chat at our website. Don't forget to Subscribe to our KZbin Channel. Happy MATLABing!

[@someshwararnoorla8049]

you forgot to change the g values in the first loop

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[@saitejapabbisetti6547]

Could have explained better

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[@Nivop1]

y la yuyaaaaaa?

[@MATLABHelper]

+Nivop1 sorry didn't get you.

[@dishanikam2919]

System has #bandwidth of three.Consider,f=#diagonal vectors,e=#subdiagonal vectors,g=#superdiagonal vectors,r=#right hand side vectors.In first step we have to define function x=#tridiag(e,f,g,r).Where x is a #solution vector.Define n as length of f i.e. #n=length(f).Uses #forward elimination and then #back substitution.It uses #fprintf() function to print the value.

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[@Plsmaths]

Good and useful video

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