Scilab/C4/Linear-equations-Iterative-Methods/Khasi
From Script | Spoken-Tutorial
Revision as of 11:36, 8 September 2017 by Meboreen Mary (Talk | contribs)
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. |