Difference between revisions of "Scilab/C4/Linear-equations-Iterative-Methods/Khasi"

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(Created page with "{| border=1 || '''Time''' || '''Narration''' |- |00:01 | | Ngi pdiangsngewbha ia phi sha ka spoken tutorial halor ka '''iterative calculations''' da kaba pyndonkam ia ka '''Sc...")
 
 
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{| Border=1
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|| '''Time'''
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|'''Time'''
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|| '''Narration'''
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|'''Narration'''
 
|-
 
|-
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|00:01
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| 00:01
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| | Ngi pdiangsngewbha ia phi sha ka spoken tutorial halor ka '''iterative calculations''' da kaba pyndonkam ia ka '''Scilab'''.
+
|Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka '''Solving System of Linear Equations using Iterative Methods'''.
 
|-
 
|-
−
| 00:07
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| 00:10
−
| | Nga pyndonkam da ka '''Scilab version 5.2''' ha ka '''Mac operating system'''
+
| Ha kaba kut jong kane ka jinghikai, phin sa nang ban:
 
|-
 
|-
−
| 00:11
+
|00:14
−
| | Tangba kine ki jingkhein kidei ban treikam ha kiwei ki versions bad kumjuh ruh ha ka Scilab kaba run ha ka '''Linux''' bad '''Windows'''.
+
|Solve ia ka system jong ki '''linear equations''' da kaba pyndonkam ia ki '''iterative methods'''  
 
|-
 
|-
−
| 00:17
+
|00:18
−
| | Ngan pyndonkam ia u code ba don ha ka file 'iteration.sce'.
+
|Develop '''Scilab code''' ban solve ia ki '''linear equations'''.
 
|-
 
|-
−
|00:22
+
| 00:22
−
|| Nga la plie ia kane ka file da kaba pyndonkam ia ka Scilab editor kaba nga la thmu ban pyndonkam tang kum ka editor.
+
|Ban record ia kane ka jinghikai , nga pyndonkam da ka
 
|-
 
|-
−
| 00:29
+
|00:25
−
|| To ngin create ia u vector da kaba pyndonkam ia u colon operator. 'i' is equal to 1 colon 5,
+
|'''Ubuntu 12.04''' kum ka operating system
 
|-
 
|-
−
| 00:38
+
| 00:28
−
| |Un create ia uwei u vector naduh 1 haduh 5 , ha ka jingpynkiew da 1.
+
|Bad ka '''Scilab 5.3.3''' version.
 
|-
 
|-
−
|00:42
+
| 00:33
−
| | Ha kane ka command, 'i' is equal to 1 colon 2 colon 5.
+
| Shwa ban pyrshang ia kane ka jinghikai, u nongpule udei ban don ia ki jingtip ba donkam jong ka
 
|-
 
|-
−
| 00:51
+
|00:38
−
| | Ngi iohi ba u middle argument jong 2 u kdew ia u jingkiew.
+
|'''Scilab''', bad '''solving linear equations'''.
 
|-
 
|-
−
| 00:56
+
| 00:42
−
| | 1 udei u argument banyngkong ha kaba u vector u sdang. ‘i’ um lah ban iaid palat ia u 5.
+
| Na ka bynta ka '''Scilab,''' sngewbha peit ia ki jinghikai ba iadei ba don ha ka '''Spoken Tutorial''' website.
 
|-
 
|-
−
| 01:01
+
| 00:50
−
| |U lah ban iaryngkat bad 5, tangba
+
| Ka '''iterative method''' ba nyngkong kaba ngin  pule kadei  ka '''Jacobi method.'''
 
|-
 
|-
−
| 01:04
+
|00:56
−
| | Phin iohi ba lada u argument ba kut u kylla sha 6 ka result ka neh kumjuh hi.
+
|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'''.
 
|-
 
|-
−
|01:09
+
|01:24
−
| | Kam dei kaba eh ban batai ia kane ka jinglong.
+
|Ngi shu shim ia ki values na ka bynta man u '''x of i'''.
 
|-
 
|-
−
|01:13
+
|01:27
−
| Hato phi lah ban pyrkhat shipor balei kane ka jia?
+
|Nangta ngi bujli ia ki values ha ki equations ba la ioh na ka kyrdan ba hashwa.
 
|-
 
|-
−
| 01:15
+
|01:34
−
|Ngin batai mynta ia ka jingdonkam jong ka '''for''' statement ban leh iterative calculations.
+
|Ngi bteng ia ka iteration haduh ba ka solution kan converge.
 
|-
 
|-
−
| 01:22
+
| 01:39
−
|'''for i is equal to 1 colon 2 colon 7 disp i end''' jong ka '''for loop'''.
+
|To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka '''Jacobi Method'''.
 
|-
 
|-
−
| 01:28
+
| 01:44
−
| |Ngan cut ia kane, paste ha ka scilab console , shon “Enter”
+
||To ngin peit ia u code na ka bynta ka '''Jacobi Method.'''
 
|-
 
|-
−
| 01:34
+
| 01:48
−
| |Une u code un print out ‘i’ katba ngi dang iaid lyngba ha ka loop
+
|| Ngi pyndonkam ia ka '''format''' method ban pynthikna ia ka format  jong ki jubab ba la pyni ha ka '''Scilab console.'''
 
|-
 
|-
−
| 01:37
+
|01:56
−
| |Ka display kadei na ka daw jong ka command “disp” – u passed “argument” lah pyni.
+
|| Hangne '''e''' u kdew ba ka jubab kadei ban dei ha ka '''scientific notation.'''
 
|-
 
|-
−
| 01:42
+
|02:01
−
| |Kynmaw ba ka '''for loop''' la ju pyndonkam  na ka bynta ki integer values.
+
| Bad '''twenty''' ka batai ia ki number jong ki digits ba dei ban pyni.
 
|-
 
|-
−
| 01:45
+
|02:06
−
| | Ha kane ka bynta, saw tylli ki integer values , kita ,1, 3, 5 and 7 lah pyni.
+
| Nangta ngi pyndonkam ia ka '''input''' function ban ioh ia ki values na ka bynta
 
|-
 
|-
−
| 01:50
+
|02:10
−
| |Katta sien ba ki iterations ki iaid la khot ia ka kum ka '''priori''' ha ka '''for loops'''.
+
|'''the matrices coefficient matrix,'''  
 
|-
 
|-
−
|01:56
+
|02:12
−
| | Ha kiwei pat ki bynta jong kane ka jinghikai, ngin bud beit ia u default argument 1.
+
||'''right hand side matrix,'''
 
|-
 
|-
−
| 02:01
+
|02:14
−
| |To ngin sdang da ka loop kaba pyni 'i' equal to 1 to 5.
+
|'''initial values matrix,'''
 
|-
 
|-
−
| 02:10
+
| 02:17
−
| | Ngin pynpher ia une u code da ka lamphrang sha ka '''break''' statement.
+
|'''maximum number of iteration and'''  
 
|-
 
|-
−
|02:18
+
| 02:19
−
| Phi iohi ba u i’’ la pyni tang haduh 2.
+
||'''convergence tolerance'''.
 
|-
 
|-
 
|02:22
 
|02:22
−
| | Ka iteration kam iaid shaduh u value ba khatduh jong u i, kata 5.
+
||Nangta ngi pyndonkam ia ka '''size''' function ban peit lada ka '''A matrix''' kadei ka '''square matrix.'''
 
|-
 
|-
−
|02:27
+
|02:29
−
| | Ha ka por ba  u i u iaryngkat bad 2, ka ‘if’ la execute ha ka sien ba nyngkong.
+
| Lada kam dei, ngi pyndonkam ia ka '''error''' function ban pyni ia ka jingbakla.
 
|-
 
|-
−
| 02:30
+
|02:34
−
| | Ka “break” command pat, ka pynkut ia ka loop.
+
| Nangta ngi peit lada ka '''matrix A'''kadei ka '''diagonally dominant.'''
−
|-
+
−
| 02:34
+
−
|| Lada ngi kwah ban mih noh shabar ka loop haba ynda katto katne ki kyndon ki iahap, ngi lah ban pyndonkam ia ka “break” statement.
+
 
|-
 
|-
 
| 02:40
 
| 02:40
−
| | Phi iohi ba  ka statement "i is equal to 2"ka pyndonkam ia u "equal to" sign arsien.
+
|| Ka bynta ba nyngkong ka khein ia ka sum jong man kawei ka row jong ka '''matrix.'''
 
|-
 
|-
 
| 02:45
 
| 02:45
−
| | Kane kadei ka rukom ba biang eh ban ianujor ia ka jingiaryngkat ha ki programming languages.
+
| Nangta ka peit lada arsien ka product jong u '''diagonal element'''  ka heh ban ia ka sum jong ki elements jong kata ka row.
 
|-
 
|-
−
|02:50
+
|02:54
−
| |Ka result jong kane ka comparison statement kadei ka '''Boolean: true or false'''.
+
| Lada kam dei, ka jingbakla la pyni da kaba pyndonkam ia ka '''error''' function.
 
|-
 
|-
−
| 02:56
+
|03:01
−
| | Ngin pynithuh ia ka “continue ” statement hangne, paste , shon “Enter”
+
| Lada ngi define ia ka function '''Jacobi Iteration''' ryngkat bad ki input arguments
 
|-
 
|-
−
| 03:06
+
| 03:07
−
|| Kane kan pynmih ia  u ‘i’  uba la display tang na bynta 4 bad 5.
+
| '''A, b , x zero,'''
 
|-
 
|-
−
| 03:10
+
| 03:09
−
| | Na ka bynta 'i' less than or equal to 3, kumba la ai da ka ‘i’ less than or equal to 3 statement, ka khlem jia eiei.
+
|'''maximum iteration''' bad '''tolerance level'''.
 
|-
 
|-
−
| 03:18
+
| 03:14
−
| | Ka '''continue''' statement ka pynlong ia ka program ban skip lane ieh noh ia kaba sah ha ka loop.
+
|Hangne '''x zero''' udei u '''initial values matrix.'''
 
|-
 
|-
−
| 03:22
+
| 03:19
−
| Ym kum ka “break” statement, kam ju mih noh shabar na ka loop
+
|Ngi peit lada ka size jong ka '''A matrix''' bad '''initial values matrix''' ki iabiang kawei bad kawei pat.
 
|-
 
|-
−
| 03:25
+
|03:28
−
| | U parameter ‘i’ la pynkiew bad baroh ki jingkhein jong ka loop la execute na ka bynta u i ba thymmai.
+
| 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.'''
−
|-
+
−
| 03:32
+
−
| | Ngi sangeh shiphang ban pyni kumno ban ioh jingiarap  na ka bynta ki operators jong ka jait 'less than or equal to' (<=).
+
 
|-
 
|-
 
| 03:38
 
| 03:38
−
| |To ngin type 'less than or equal to with help'.
+
| Lada ka kham rit ban ia ka '''tolerance level''', ngi '''break''' ia ka iteration bad ka solution la pynphai.
 
|-
 
|-
−
| 03:46
+
| 03:45
−
|| Kane ka plie ia ka Scilab “Help Browser”
+
|Khatduh eh ngi '''end''' ia ka function.
 
|-
 
|-
−
| 03:51
+
| 03:48
−
|| Ngi iohi ba u help u don hapoh ka opshon “less”
+
|| To ngin save bad execute ia ka function.
 
|-
 
|-
−
| 03:56
+
|03:51
−
| | Te mynta hadien ba la khang ia kane, ngi type “help less”
+
||Phai sha ka '''Scilab console.'''
 
|-
 
|-
−
|04:06
+
| 03:54
−
|| Ngi iohi ia ki “help” instructions ba donkam hangne. Ngan khang noh ia kane.
+
| To ngin pyndap ia ki values ha man kawei pa kawei ka prompt.
 
|-
 
|-
−
|04:11
+
| 03:57
−
| | Ka “for” statement ha Scilab ka kham khlain bor ban ha kiwei pat ki programming languages.
+
| U '''coefficient matrix A is open square bracket two space one semi colon five space seven close square bracket '''
 
|-
 
|-
−
| 04:16
+
|04:08
−
| | Kum ka nuksa, to ngin pyntreikam  ia ka “loop” halor jong u '''vector''':
+
| Nion '''Enter. '''
 
|-
 
|-
−
| 04:24
+
| 04:10
−
| | Kane ka script kan pyni ia baroh ki values jong ‘v’
+
| 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
 
| 04:28
−
| | Haduh mynta ngi la pyni tang ia ki variables.
+
| Nion '''Enter.'''
 
|-
 
|-
−
| 04:32
+
| 04:30
−
| | Ngi lah ban pyni ia ka result jong ka jingkhein ruh kumjuh.
+
|Ka '''maximum number of iterations''' kadei arphewsan.  
 
|-
 
|-
−
| 04:35
+
| 04:34
−
| | U code ba harum u pyni ia ka square jong ki numbers.
+
| Nion '''Enter. '''
 
|-
 
|-
−
|04:44
+
| 04:36
−
| | Ngi la dep pynlut bun por bha ha kaban batai ia ka “for loop”
+
| 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
 
| 04:48
−
| | To ngin mynta ngin iaid noh sha ki '''while loops'''.
+
||'''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 noh'''x 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 '''console'''da 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.
 
|-
 
|-
−
| 04:50
+
| 09:52
−
| | Ka '''while''' statement ka ailad ban pyntreikam ia ka '''loop''' haba ka Boolean expression kadei '''true'''.
+
|Wad ia u value jong ki '''unknown variables''' jong  ka system jong ki '''linear equations'''.
 
|-
 
|-
−
| 04:55
+
|09:58
−
| | Ha kaba sdang jong ka '''loop''', lada ka expression kadei '''true''',
+
| Peit ia ka video ba don ha ka link harum.
 
|-
 
|-
−
| 04:58
+
| 10:01
−
| |Ki statements ha ka body jong ka '''while loop''' kin execute.
+
| Ka batai kyllum ia ka Spoken Tutorial project.
 
|-
 
|-
−
| 05:02
+
|10:04
−
| | Lada ia ka program la thoh bha, ka expression kan long '''false''' bad ka '''loop''' ka kut noh.
+
||Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka.
 
|-
 
|-
−
| 05:08
+
|10:09
−
|| Mynta to ngin peit ia ka nuksa na ka bynta  ka '''while loop''':
+
||Ka kynhun jong ka Spoken Tutorial Project
 
|-
 
|-
−
|05:15
+
|10:11
−
| | Ki values jong u 'i', naduh 1 haduh 6 la pyni.
+
||Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials
 
|-
 
|-
−
|05:19
+
|10:15
−
|| '''Break''' bad '''continue''' statements hapoh jong ka  '''while loop''' ki treikam thik kumjuh kumba ki treikam ha ka '''for loop''' kumba ngi la batai da kaba pyndonkam '''break''':
+
||Ka ai certificates sha kito kiba pass ha ka online test.
 
|-
 
|-
−
|05:33
+
|10:18
−
| | Ngi iohi ba ka khyllipmat ba u ‘i’ u iaryngkat bad 3, ka program kan mih noh na ka “loop”, ka jingsngewnguh ia ka '''break''' statement.
+
||Na ka bynta kham bun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org .
 
|-
 
|-
−
| 05:39
+
|10:25
−
|| Phi lah ruh ban pyrshang ia ka nuksa na ka bynta ka '''continue''' statement ha ka '''while loop'''.
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|Spoken Tutorial Project kadei shi bynta jong ka Talk to a Teacher project.
 
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| 05:44
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| 10:30
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| | Bad da kane ngi la poi sha kaba kut jong kane ka jinghikai halor ka '''iterative calculations''' da kaba pyndonkam ia ka Scilab.
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| La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT, MHRD, Sorkar India.
 
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|-
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| 05:50
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| 10:37
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|| Spoken tutorials kidei shi bynta jong ka Talk To a Teacher project, ba la kyrshan da ka National Mission on Education lyngba ka ICT.
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|Kham bun ki jingtip halor kane ka mission kidon ha  http://spoken-tutorial.org/NMEICT-Intro.
 
|-
 
|-
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| 05:57
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| 10:49
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| | Kham bun ki jingtip halor kine kidon ha ka link ba la ai harum [http://spoken-tutorial.org/NMEICT-Intro].
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|Nga i Meboreen na Shillong, nga pynkut ia kane.
 
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| 06:00
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|10:51
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| |Nga i Meboreen na Shillong nga pynkut ia kane. Khublei shibun .
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| Khublei Shibun ia ka jingsnohkti lang jong phi.
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|}
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Latest revision as of 11:36, 8 September 2017

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

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