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| documentation:language_reference:objects:matrix:functions:flatten [2018/08/06 11:49] – created Simon Heinze | documentation:language_reference:objects:matrix:functions:flatten [2024/12/12 17:45] (current) – Maurits W. Haverkort | ||
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| {{indexmenu_n> | {{indexmenu_n> | ||
| ====== Flatten ====== | ====== Flatten ====== | ||
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| Matrix.Flatten($M$) takes an object $M$, which must be a matrix with matrix-valued entries, and returns the flattened version, which is a matrix with numbers as entries. This allows for working with block matrices, e.g. defining a matrix of the form | Matrix.Flatten($M$) takes an object $M$, which must be a matrix with matrix-valued entries, and returns the flattened version, which is a matrix with numbers as entries. This allows for working with block matrices, e.g. defining a matrix of the form | ||
| \begin{equation} | \begin{equation} | ||
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| where $A,B,C,D$ are all matrices. | where $A,B,C,D$ are all matrices. | ||
| - | If an entry of the input matrix $M$ is $0$ instead of a matrix, Quanty will interpret this as a zero-matrix of appropriate size. A complete line of zeros will be deleted. | + | If an entry of the input matrix $M$ is $0$ instead of a matrix, Quanty will interpret this as a zero-matrix of appropriate size, which makes creating sparse block-matrices especially easy in conjunction with // |
| ===== Example ===== | ===== Example ===== | ||
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| print(" | print(" | ||
| - | M = Matrix.Zero(3) | + | M = Matrix.Zero(3, |
| M[1][1] = A | M[1][1] = A | ||
| M[1][2] = B | M[1][2] = B | ||
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| ===== Table of contents ===== | ===== Table of contents ===== | ||
| - | {{indexmenu> | + | {{indexmenu> |
