Triangular system - PowerPoint PPT Presentation

College Algebra Sixth Edition James Stewart  Lothar Redlin  Saleem Watson

College Algebra Sixth Edition James Stewart  Lothar Redlin  Saleem Watson. Systems of Equations and Inequalities. 5. Systems of Linear Equations in Several Variables. 5.2. Linear Equation.

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Linear Triangular System

Linear Triangular System. L – lower triangular matrix, nonsingular. Lx=b L: nxn nonsingular lower triangular b: known vector b(1) = b(1)/L(1,1) For i=2:n b(i) = (b(i)-L(i,1:i-1)b(1:i-1))/L(i,i) end. Forward substitution, row version. Triangular System.

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Linear Systems Gaussian Elimination

Linear Systems Gaussian Elimination. CSE 541 Roger Crawfis. Solving Linear Systems. Transform Ax = b into an equivalent but simpler system. Multiply on the left by a nonsingular matrix: MAx = Mb : Mathematically equivalent, but may change rounding errors. Gaussian Elimination.

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