Example: Find the polynomials for u, v, and c, where c is the greatest common divisor of a and b such that:
u( x2 + 1) + v( x – 1) = c
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Result: |
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See also: | IEGCD, ABCUV |
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EGV | Command |
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Description: | Eigenvalues and Eigenvectors Command: Computes the eigenvalues and right eigenvectors for a | ||||||||
| square matrix. |
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| The resulting vector EVal contains the computed eigenvalues. The columns of matrix EVec | ||||||||
| contain the right eigenvectors corresponding to the elements of vector EVal. | ||||||||
| The computed results should minimize (within computational precision): | ||||||||
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| A ⋅ EVec – EVec ⋅ diag( EVal) |
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| where diag (EVal) denotes the n × n diagonal matrix containing the eigenvalues EVal. | ||||||||
Access: | !Ø LEIGENVECTOR EGV |
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| !´MATRIX LEGV |
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Input/Output: |
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| Level 1/Argument 1 |
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| Level 2/Item 1 | Level 1/Item 2 | |
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| [[matrix ]]A | → |
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| [[matrix ]]EVec | [vector ]EVal | |
See also: | EGVL |
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EGVL | Command |
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Description: | Eigenvalues Command: Computes the eigenvalues of a square matrix. |
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| The resulting vector L contains the computed eigenvalues. |
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Access: | !Ø LEIGENVECTOR EGVL |
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| !´MATRIX LEGVL |
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Input/Output: |
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| Level 1/Argument 1 |
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| Level 1/Item 1 | |
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| [[matrix ]]A |
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See also: | EGV |
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ELSE | Command |
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Description: | ELSE Command: Starts false clause in conditional or | ||||||||
| See the IF and IFERR keyword entries for more information. |
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Access: | !°BRANCH IF ELSE |
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Input/Output: | None |
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See also: | IF, CASE, DO, ELSE, IFERR, REPEAT, THEN, UNTIL, WHILE |
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END | Command |
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Type: |
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Description: | END Command: Ends conditional, |
Full Command and Function Reference