The hypothesis is that as an adjunct therapy to oral medications, serial IV infusions of nesiritide may produce more rapid and sustained compensation of heart failure in patients with frequent episodes of decompensated heart failure. The 0.005 mcg/kg/min group receives a 0.5 mcg/kg bolus followed by a 0.0025 mcg/kg/min infusion; the 0.010 mcg/kg/min group receives a 1 mcg/kg bolus followed by a 0.005 mcg/kg infusion. Intravenous bolus over 60 seconds and a fixed rate infusion of 4 - 6 hours, at least once per week for 12 weeks.