Waveforms for radio-frequency (RF) excitations pulses used in magnetic
resonance imaging are designed according to a Least Squares QR (LSQR)
algorithm or a Conjugate Gradient Least Squares (CGLS) algorithm, to
solve the linear system of equations that arises in a multi-channel RF
transmit arrangement. Better management of SAR and other factors is
achieved with RF pulses designed according to these algorithms, compared
to the conventionally employed singular value decomposition (SVD)
algorithm.