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lusolve

sparse linear system solver

Syntax

x=lusolve(hand,b)
x=lusolve(A,b)

Arguments

b

full real matrix

A

real square sparse invertible matrix

hand

handle to a previously computed sparse lu factors (output of lufact)

x

full real matrix

Description

x=lusolve(hand,b) solves the sparse linear system A*x = b.

[hand,rk]=lufact(A) is the output of lufact.

x=lusolve(A,b) solves the sparse linear system A*x = b

Examples

non_zeros=[1,2,3,4];
rows_cols=[1,1;2,2;3,3;4,4];
sp=sparse(rows_cols,non_zeros);
[h,rk]=lufact(sp);
x=lusolve(h,[1;1;1;1]);
ludel(h)
rk,sp*x

non_zeros=[1,2,3,4];
rows_cols=[1,1;2,2;3,3;4,4];
sp=sparse(rows_cols,non_zeros);
x=lusolve(sp,-ones(4,1));
sp*x

See also

  • sparse — sparse matrix definition
  • lufact — sparse lu factorization
  • slash — (/) right divisions. System's feed back. Comments
  • backslash — (\) left matrix division: Exact or least square solution
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Last updated:
Mon Jun 17 17:49:16 CEST 2024