Scilab/C4/Linear-equations-Iterative-Methods/Khasi

Time	Narration
00:01	Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka Solving System of Linear Equations using Iterative Methods.
00:10	Ha kaba kut jong kane ka jinghikai, phin sa nang ban:
00:14	Solve ia ka system jong ki linear equations da kaba pyndonkam ia ki iterative methods
00:18	Develop Scilab code ban solve ia ki linear equations.
00:22	Ban record ia kane ka jinghikai , nga pyndonkam da ka
00:25	Ubuntu 12.04 kum ka operating system
00:28	Bad ka Scilab 5.3.3 version.
00:33	Shwa ban pyrshang ia kane ka jinghikai, u nongpule udei ban don ia ki jingtip ba donkam jong ka
00:38	Scilab, bad solving linear equations.
00:42	Na ka bynta ka Scilab, sngewbha peit ia ki jinghikai ba iadei ba don ha ka Spoken Tutorial website.
00:50	Ka iterative method ba nyngkong kaba ngin pule kadei ka Jacobi method.
00:56	La ai ka system of linear equations, with n equations and n unknowns,
01:02	Ngi thoh ia ki equations ha kata ka rukom ba x of i k plus one is equal to b i minus summation of a i j x j k from j equal to one to n divided by a i i ha kaba i udei naduh one to n.
01:24	Ngi shu shim ia ki values na ka bynta man u x of i.
01:27	Nangta ngi bujli ia ki values ha ki equations ba la ioh na ka kyrdan ba hashwa.
01:34	Ngi bteng ia ka iteration haduh ba ka solution kan converge.
01:39	To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka Jacobi Method.
01:44	To ngin peit ia u code na ka bynta ka Jacobi Method.
01:48	Ngi pyndonkam ia ka format method ban pynthikna ia ka format jong ki jubab ba la pyni ha ka Scilab console.
01:56	Hangne e u kdew ba ka jubab kadei ban dei ha ka scientific notation.
02:01	Bad twenty ka batai ia ki number jong ki digits ba dei ban pyni.
02:06	Nangta ngi pyndonkam ia ka input function ban ioh ia ki values na ka bynta
02:10	the matrices coefficient matrix,
02:12	right hand side matrix,
02:14	initial values matrix,
02:17	maximum number of iteration and
02:19	convergence tolerance.
02:22	Nangta ngi pyndonkam ia ka size function ban peit lada ka A matrix kadei ka square matrix.
02:29	Lada kam dei, ngi pyndonkam ia ka error function ban pyni ia ka jingbakla.
02:34	Nangta ngi peit lada ka matrix Akadei ka diagonally dominant.
02:40	Ka bynta ba nyngkong ka khein ia ka sum jong man kawei ka row jong ka matrix.
02:45	Nangta ka peit lada arsien ka product jong u diagonal element ka heh ban ia ka sum jong ki elements jong kata ka row.
02:54	Lada kam dei, ka jingbakla la pyni da kaba pyndonkam ia ka error function.
03:01	Lada ngi define ia ka function Jacobi Iteration ryngkat bad ki input arguments
03:07	A, b , x zero,
03:09	maximum iteration bad tolerance level.
03:14	Hangne x zero udei u initial values matrix.
03:19	Ngi peit lada ka size jong ka A matrix bad initial values matrix ki iabiang kawei bad kawei pat.
03:28	Ngi khein ia u value na ka bynta x k p one bad nangta peit lada ka relative error ka kham rit ban ia ka tolerance level.
03:38	Lada ka kham rit ban ia ka tolerance level, ngi break ia ka iteration bad ka solution la pynphai.
03:45	Khatduh eh ngi end ia ka function.
03:48	To ngin save bad execute ia ka function.
03:51	Phai sha ka Scilab console.
03:54	To ngin pyndap ia ki values ha man kawei pa kawei ka prompt.
03:57	U coefficient matrix A is open square bracket two space one semi colon five space seven close square bracket
04:08	Nion Enter.
04:10	Nangta ngi type: open square bracket eleven semicolon thirteen close square bracket
04:17	Nion Enter.
04:20	Ki initial values matrix is open square bracket one semi colon one close square bracket
04:28	Nion Enter.
04:30	Ka maximum number of iterations kadei arphewsan.
04:34	Nion Enter.
04:36	Ai ba ka convergence tolerance level be zero point zero zero zero zero one
04:44	Nion Enter.
04:46	Ngi call ia ka function da kaba type
04:48	Jacobi Iteration open parenthesis A comma b comma x zero comma M a x I t e r comma t o l close parenthesis
05:04	Nion Enter.
05:06	Ki values na ka bynta x one bad x two la pyni ha ka console.
05:11	Ki number jong ki iterations la pyni hangne.
05:14	To ngin pule mynta ia ka Gauss Seidel method.
05:19	La ai ia ka system of linear equations ryngkat bad n equations bad n unknowns
05:26	Ngi thoh biang ia ki equations na ka bynta man kawei pa kawei ka unknown
05:29	Da kaba subtract ia kiwei pat ki variables ryngkat bad ki coefficients jong ki na u element ba iadei na ka liang ka mon
05:37	Nangta ngi divide ia kane da u coefficient a i i of the unknown variable' for that variable.
05:45	Kane la leh na ka bynta man kawei pa laweo ka equation ba la ai.
05:49	Ha ka Jacobi method, na ka bynta ka computation jong u x of i k plus one, man ki element jong x of i k la pyndonkam lait nohx of i k plus one .
06:03	Ha ka Gauss Seidel method, ngi thoh nalor jong u value x of i k da x of i k plus one.
06:12	To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka Gauss Seidel Method.
06:17	To ngin iapeit ia u code na ka bynta ka Gauss Seidel Method.
06:21	Ka lain banyngkong ka batai ia ka format jong ka jubab ba la pyni ha ka consoleda kaba pyndonkam ia ka format function.
06:29	Nangta ngi pyndonkam ia ka input function ban ioh ia ki values jong
06:32	coefficient matrix,
06:34	right hand side matrix,
06:36	initial values of the variables matrix,
06:38	maximum number of iterations bad
06:40	tolerance level.
06:43	Nangta ngi define ia ka function Gauss Seidel ryngkat bad ki input arguments A comma b comma x zero comma max iterations bad ka tolerance level bad ka output argument solution.
06:58	Ngi peit lada ka matrix A is square bad ki size jong initial vector and matrix A ki iabiang lang da kaba pyndonkam ia ka size bad ka length function.
07:10	Nangta ngi sdang ia ki iterations.
07:13	Ngi equate ia ki initial values vector x zero to x k.
07:19	Ngi shna ia ka matrix of zeros bad kajuh ka size jong x k bad khot ia ka x k p one.
07:28	Ngi solve na ka bynta man kawei pa kawei ka equation ban ioh ia u value jong u unknown variable na ka bynta katei ka equation da kaba pyndonkam ia u x k p one.
07:38	Ha man kawei pa kawei ka iteration, u value jong x k p one u kylla.
07:44	Kumjuh ruh, ngi peit lada ka relative error ka kham rit ban ia ka tolerance level ba la kdew.
07:50	Lada ka dei ,ngi break ia ka iteration.
07:54	Nangta ngi equate ia u x k p one sha u variable solution.
07:59	Khatduh eh ngi end ia ka function.
08:02	To ngin save bad execute ia ka function.
08:06	Phai sha ka Scilab console.
08:09	Na ka bynta ka prompt banyngkong , ngi type matrix A.
08:12	Type open square bracket two space one semi colon five space seven close square bracket
08:21	Nion Enter. Na ka bynta ka prompt babud,
08:24	type open square bracket eleven semi colon thirteen close square bracket
08:31	Nion Enter.
08:33	Ngi ai ia ki values jong initial value vector da kaba type
08:38	open square bracket one semicolon one close square bracket .
08:43	Nion Enter.
08:45	Nangta ngi batai ia u maximum number of iterations ba un dei arphewsan.
08:50	Nion Enter.
08:52	To ngin define ia ka 'tolerance level ban dei zero point zero zero zero zero one.
08:58	Nion Enter.
09:01	Khatduh eh ngi call ia ka function da kaba type
09:04	G a u s s S e i d e l open parenthesis A comma b comma x zero comma M a x I t e r comma t o l close parenthesis
09:24	Nion Enter.
09:26	Ki values jong x one bad x two la pyni.
09:30	Ki number jong ki iterations ban solve ia kajuh ka problem ki kham duna ban ia ka Jacobi method.
09:37	Solve ia kane ka problem da lade da kaba pyndonkam ia ka Jacobi bad Gauss Seidel methods.
09:43	Ha kane ka jinghikai, ngi la pule ban:
09:47	Develop ia ka Scilab code na ka bynta ban solve ia ka system jong ki linear equations.
09:52	Wad ia u value jong ki unknown variables jong ka system jong ki linear equations.
09:58	Peit ia ka video ba don ha ka link harum.
10:01	Ka batai kyllum ia ka Spoken Tutorial project.
10:04	Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka.
10:09	Ka kynhun jong ka Spoken Tutorial Project
10:11	Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials
10:15	Ka ai certificates sha kito kiba pass ha ka online test.
10:18	Na ka bynta kham bun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org .
10:25	Spoken Tutorial Project kadei shi bynta jong ka Talk to a Teacher project.
10:30	La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT, MHRD, Sorkar India.
10:37	Kham bun ki jingtip halor kane ka mission kidon ha http://spoken-tutorial.org/NMEICT-Intro.
10:49	Nga i Meboreen na Shillong, nga pynkut ia kane.
10:51	Khublei Shibun ia ka jingsnohkti lang jong phi.

Contributors and Content Editors

Meboreen Mary