Guide and Reference

Overview of the Banded Linear Algebraic Equation Subroutines

The banded linear algebraic equation subroutines provide solutions to linear systems of equations for real positive definite symmetric band matrices, real general tridiagonal matrices, diagonally-dominant real general tridiagonal matrices, and real positive definite symmetric tridiagonal matrices.

Table 55. List of Banded Linear Algebraic Equation Subroutines

Descriptive Name	Long-Precision Subroutine	Page
Positive Definite Symmetric Band Matrix Factorization and Solve	PDPBSV	PDPBSV--Positive Definite Symmetric Band Matrix Factorization and Solve
Positive Definite Symmetric Band Matrix Factorization	PDPBTRF	PDPBTRF--Positive Definite Symmetric Band Matrix Factorization
Positive Definite Symmetric Band Matrix Solve	PDPBTRS	PDPBTRS--Positive Definite Symmetric Band Matrix Solve
General Tridiagonal Matrix Factorization and Solve	PDGTSV	PDGTSV and PDDTSV--General Tridiagonal Matrix Factorization and Solve
General Tridiagonal Matrix Factorization	PDGTTRF	PDGTTRF and PDDTTRF--General Tridiagonal Matrix Factorization
General Tridiagonal Matrix Solve	PDGTTRS	PDGTTRS and PDDTTRS--General Tridiagonal Matrix Solve
Diagonally-Dominant General Tridiagonal Matrix Factorization and Solve	PDDTSV	PDGTSV and PDDTSV--General Tridiagonal Matrix Factorization and Solve
Diagonally-Dominant General Tridiagonal Matrix Factorization	PDDTTRF	PDGTTRF and PDDTTRF--General Tridiagonal Matrix Factorization
Diagonally-Dominant General Tridiagonal Matrix Solve	PDDTTRS	PDGTTRS and PDDTTRS--General Tridiagonal Matrix Solve
Positive Definite Symmetric Tridiagonal Matrix Factorization and Solve	PDPTSV	PDPTSV--Positive Definite Symmetric Tridiagonal Matrix Factorization and Solve
Positive Definite Symmetric Tridiagonal Matrix Factorization	PDPTTRF	PDPTTRF--Positive Definite Symmetric Tridiagonal Matrix Factorization
Positive Definite Symmetric Tridiagonal Matrix Solve	PDPTTRS	PDPTTRS--Positive Definite Symmetric Tridiagonal Matrix Solve