A matrix-vector-multiplier, MVM, arrangement, comprising an arrangement comprising: a stack of material layers arranged on a substrate, a waveguide element formed in at least one material layer in the stack, a transducer arrangement coupled to the waveguide element, wherein the transducer arrangement is configured to generate and detect at least one spin wave in the waveguide element, and wherein the waveguide element is configured to confine and to provide interference of the at least one spin wave propagating therein, a control mechanism formed in at least one material layer in the stack, wherein the control mechanism comprises at least one control element coupled to the waveguide element, and a direct current electric source coupled to the at least one control element, wherein the MVM arrangement further comprises at least one input layer configured to input at least one input signal into the MVM arrangement, at least one output layer configured to output at least one output signal from the MVM arrangement, at least one intermediate layer arranged between the at least one input layer and the at least one output layer, wherein the at least one intermediate layer is coupled to the at least one input layer and the at least one output layer via at least one connection associated with a weight as a function of a phase velocity of at least one spin wave, W(v), propagating in the waveguide element of the arrangement, wherein the at least one intermediate layer is further coupled to the at least one control element, and wherein the control mechanism, via the at least one control element, is configured to control the respective weight of the at least one connection by modifying a phase velocity of the at least one spin wave propagating in the waveguide element. a stack of material layers arranged on a substrate, a waveguide element formed in at least one material layer in the stack, a transducer arrangement coupled to the waveguide element, wherein the transducer arrangement is configured to generate and detect at least one spin wave in the waveguide element, and wherein the waveguide element is configured to confine and to provide interference of the at least one spin wave propagating therein, a control mechanism formed in at least one material layer in the stack, wherein the control mechanism comprises at least one control element coupled to the waveguide element, and a direct current electric source coupled to the at least one control element, at least one input layer configured to input at least one input signal into the MVM arrangement, at least one output layer configured to output at least one output signal from the MVM arrangement, at least one intermediate layer arranged between the at least one input layer and the at least one output layer, wherein the at least one intermediate layer is coupled to the at least one input layer and the at least one output layer via at least one connection associated with a weight as a function of a phase velocity of at least one spin wave, W(v), propagating in the waveguide element of the arrangement, wherein the at least one intermediate layer is further coupled to the at least one control element, and wherein the control mechanism, via the at least one control element, is configured to control the respective weight of the at least one connection by modifying a phase velocity of the at least one spin wave propagating in the waveguide element. <EOS>