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![]() | Basic operators and adjoints | ![]() |
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A row is a summation operation.
A column is an impulse response.
If the inner loop of a matrix multiply ranges within a
row, the operator is called sum or pull.
column, the operator is called spray or push.
Generally, inputs and outputs are high dimensional, such as signals or images. Push gives ugly outputs. Some output locations may be empty, each having an erratic number of contributions. Consequently, most data processing (adjoint) is done by pull.
A basic aspect of adjointness is that the
adjoint of a row matrix operator is a column matrix operator.
For example,
the row operator
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(1) |
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(2) |
The adjoint of a sum of ![]() ![]() |
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![]() | Basic operators and adjoints | ![]() |
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