Computationally efficient algorithms for control of ultrasound phased-array hyperthermia applicators based on a pseudoinverse method

Computationally efficient incremental algorithms for application of the pseudoinverse method for ultrasound phased-array field pattern synthesis are discussed and shown to significantly reduce computing effort when more control points should be added to existing subsets of points previously manipulated. These algorithms avoid calculation of inverse matrices, a time-consuming job for microcomputers when the dimensions of the matrices are large. This technique can be used to recursively modify the heating patterns of a phased-array hyperthermia applicator in the clinic.<>