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2n 4n Method adaptive beam-forming algorithm USVD approximation array algorithm array of processors Brent Chapter chip compute the SVD condition number connected quadratic array convergence rate coordinate rotation CORDIC CORDIC algorithm cosines cyclic Jacobi data tag data transfer dataflow diagonal bus diagonal PE's double precision effective diagonal eigenvalue decomposition EISPACK function hardware primitives Hestenes Hestenes's Method Hexagonally hyperellipsoid implementation inner product interconnection network iterative Jacobi Method Linear array linear combinations Matrix XII Method 1 w/o multiplication multiply-accumulate null space number of operations number of sweeps Operation Counts operation time ratio orthogonal bus PE's pipeline plane rotations problem processing elements processor array QR algorithm random numbers Rate of Convergence remapping rotation angle computation Rotation Computation scale factor sequential method shown in Figure Signal Processing simulation results single precision Singular Value Decomposition singular vectors square SW register sweeps for method systolic array transform VanLoan VLSI w/o rho update wavefront wrap-around